Kilcullen Science and Engineering

Showing posts with label mechanical engineering. Show all posts
Showing posts with label mechanical engineering. Show all posts

Wednesday, June 10, 2026

How Can Insects Survive Falling From a Height?

Graphic showing forces on a falling insect
Forces on a falling insect. © Eugene Brennan

One of the reasons insects don't hurt themselves when they fall is because they have a low terminal velocity and are travelling relatively slowly when they reach the ground.

Thursday, April 23, 2026

A Child Can Push Harder Than a Lawn Mower Blade

A child pushing a lever
AI image generated by Google Gemini.

Did you know that a child can probably produce more torque using their arm, than a lawn mower engine can generate to turn the blade? Surprisingly, the figure for the torque of a 5 hp engine used on a mower is 7 to 10 foot-pounds (ft·lbf) in the imperial system or 11.5 to 13.6 newton-meters (Nm). Applied torque is simply force multiplied by distance, so 1 pound-force applied over a distance of 1 foot from a pivot is 1 foot-pound. In the metric system, the unit of torque is the newton-metre (Nm). A torque of 1 Nm is equivalent to one newton—the SI unit of force—applied over a distance of one metre. The speed of a lawn mower blade is more important than torque, and blades are driven directly by the crankshaft without reduction or overdrive gearing. Blades typically spin at the engine speed of around 3000 RPM, giving a blade tip speed of around 200 mph, or 90 metres per second.

As we saw in the article Interesting Facts - What is Torque?

power = torque x angular rotation speed

So while a child may be able to exert more torque with their arm than a mower engine can exert on a blade, they wouldn't be able to match its power. Another piece of the jigsaw is that the quoted figure of 11 to 13 Nm is for the drive torque from the engine. Since a blade is spinning at around 3000 RPM, it has a lot of inertia. The technical term for this when a rotating body such as a flywheel or blade is involved is moment of inertia. When a blade slows down as it impacts grass, the change in angular momentum creates a force, just like the way a car or any linearly-moving object creates a force as it slows down due to friction, or when it hits something (think of the huge force produced by a hammer, typically many tonnes, when it hits a nail). So the force produced by a blade as it impacts and shears grass is much greater than the force that the engine itself could have generated.

Note: You may be wondering why "newton" in "newton-metres" above isn't capitalised.  The unit is named after the English scientist Isaac Newton. It's not a typo. In the International System of Units (SI), or Système international d'unités, units named after a person are not capitalised. However, the symbol is, N in this case, Units are normally lower case, as are prefixes. However, prefixes over one million are capitalised—so kilometres is km, but gigahertz is GHz.

Thursday, April 02, 2026

Driving Slower to Reduce Fuel Consumption

Cartoon of man driving a car
Created by ChatGPT

In theory, according to Newton's first law, a body remains at rest, or in motion at a constant speed in a straight line, unless it is acted upon by a force. So if you kicked a ball in space and there were no planets or stars to influence the ball, it would go on forever. That's how deep-space probes work: during launch, engines fire to create thrust and increase velocity typically up to 10 km/s or more. When the engine cuts out, a probe will coast indefinitely, following a curved path due to the gravitational pull of planets and the Sun. Without gravity, the trajectory would be a straight line.

Wednesday, January 21, 2026

Terminal Velocity of a Human, Free Fall and Drag Force

Diagram of a stick man falling through the air
© Eugene Brennan

We all know that when an object is released from a certain height, it starts to fall. This, of course, is due to gravity, or more specifically the gravitational force of attraction between the object and the Earth. The force of gravity causes the object to accelerate and increase in velocity as it falls downwards towards the Earth. In actuality, both the Earth and the object are mutually attracted to each other, and the Earth moves upwards at the same time. However, since it's so massive in comparison to a small object and the force is so small, its movement is minuscule. 

Tuesday, January 06, 2026

Simple Machines: How Does a Lever Work?

A diagram showing a lever with a force raising a weight
© Eugene Brennan

What Is a Lever?

A lever is a simple device that works by changing the input force needed to do work and move something. Some levers do this by magnifying the force applied to them. In this tutorial, we'll explore how levers are used in our everyday lives and then learn the simple physics of how they work.

Two examples of a lever, a hammer and scissors
Examples of levers. © Eugene Brennan

The Lever: One of the Six Classical Simple Machines

The lever is one of the six simple machines which were defined by Renaissance scientists hundreds of years ago.

Tuesday, December 30, 2025

How to Solve Projectile Motion Problems: Applying Newton's Equations of Motion to Ballistics

Soldiers in American Civil War uniforms firing a cannon
Public domain image by Prosaica on Pixabay

Physics is an area of science which deals with how matter and waves behave in the universe. A branch of physics called mechanics deals with forces, matter, energy, work done and motion. A further sub-branch known as kinematics deals with motion and ballistics is specifically concerned with the motion of projectiles launched into the air, water or space.

Monday, December 29, 2025

Conversations with ChatGPT: Shallow Truss Forces

t history


Thursday, December 18, 2025

Examples of Forces in Everyday Life and How They Affect Things

Diagram showing a stickman pushing a box on a table, illustrating a force.
© Eugene Brennan
In this first part of a two-part tutorial, we'll learn the absolute basics about forces!

What's covered:

  • Definitions of force, mass, velocity, acceleration, weight
  • Vector diagrams
  • Adding and resolving vectors

What Is a Force?

We can think of a force of a force as a push or pull.

 



Wednesday, December 17, 2025

Newton's Three Laws of Motion: Force, Mass and Acceleration

An infographic explaining Newton's three laws of motion

An infographic explaining Newton's three laws of motion.
 © Eugene Brennan

Mechanics is a branch of physics which deals with forces, mass, and motion.
In this second part of a two part tutorial, you'll learn the absolute basics!
In the first tutorial, Examples of Forces in Everyday Life and How They Affect Things, we learned what force is and explored the various types of forces in the world around us.

What's Covered in This Guide?

  • Newton's three laws of motion and how an object behaves when a force is applied
  • Action and reaction
  • Friction
  • Kinematics equations of motion

A stick figure pushing a box on a table
From the article "Examples of Forces in Everyday Life and How They Affect Things". © Eugene Brennan

What Are Newton's Three Laws of Motion?

In the 17th century, the mathematician and scientist Isaac Newton came up with three laws of classical mechanics concerning motion of bodies in the Universe. These laws describe the relationship between the motion of an object and the forces acting on it. In physics, objects have a property called mass, measured in kg in the SI system (This stands for Système International d'Unités, the standard system of units used in science and engineering)

1. Newton's First Law of Motion: Rest or Uniform Motion

A body remains at rest, or in motion at a constant speed in a straight line, unless it is acted upon by a force

Basically, this means that if for instance a ball is lying on the ground, it will stay there. If you kick it into the air, it will keep moving. If there was no gravity, it would go on for ever. However, the external force, in this case, is gravity which causes the ball to follow a curve, reach a max altitude and fall back to the ground. Friction from air also slows it down.

Another example is when you put your foot down on the accelerator and your car increases in speed. When you take your foot off the accelerator, the car slows down, The reason for this is that friction at the wheels and friction from the air surrounding the vehicle (known as drag) causes it to slow down. If these forces were magically removed, the car would stay moving forever.
There are three scenarios for the first law: Two for when a body is at rest and one for when it's in motion.

Body at Rest

There are two scenarios for a body at rest:

Scenario 1: No forces acting on the body

In the example of a body floating in deep space, far from any planets or stars, where it isn't influenced by gravity, it will stay in this position at rest forever. In reality of course, it will always be influenced by gravity, even at huge distances, although the effect may be tiny. In the diagram below, the body is given the symbol m, representing its mass. The body doesn't have to be in space of course, but this is an extreme example of a body so remote, that there are extremely small forces acting on it.

Diagram illustrating Newton's first law of motion

No forces act on the body, so it stays at rest. © Eugene Brennan

Scenario 2: No net forces acting on the body.

In reality, there will always be forces acting on a body. If forces cancel out, there's no net force acting and again it stays at rest. An example is an object with mass m suspended from a rope. The force of gravity pulls down on the object. However the rope also pulls back up with a tension force. These forces cancel each other out and there's no net force.

Diagram illustrating Newton's first law of motion
Forces cancel out and since there's no net force, the body stays at rest. © Eugene Brennan

Body in motion

This is the 3rd scenario of Newton's 1st law. When a body is acted on by a net force, it accelerates and reaches a certain velocity. When that force is removed, it continues to travel at that velocity, unless another force acts on it. Again, the reason why we don't see this ideal behaviour happening in the real world and objects continuing to move without slowing down is because external forces act, usually friction and drag due to air. We see approximations though, so a spinning top will spin for a long time if it has a pointed foot that has little friction wit the surface on which it rests. Similarly a bowling ball or marble will roll a long way on a hard level surface without stopping.

Diagram illustrating Newton's first law of motion
Once a body is accelerated by a force, it continues in a state of uniform motion, unless another force acts on it. © Eugene Brennan
2. Newton's Second Law of Motion: Force and Acceleration

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass

This means that if you have an object and you push it, the acceleration is greater for a greater force. So for example a 400 horse power engine in a sports car is going to create loads of thrust at the axle and accelerate the car to top speed much more rapidly than a regular engine would be capable of achieving with the same weight of car.

In the SI system of units, force is measured in Newtons (N), mass is measured in kilograms (kg) and acceleration is measured in metres per second per second (also known as metres per second squared) (m/s2)

So:

If F is the force in Newtons (N)

m is the mass in kilos (kg)

and a is the acceleration (m/s2)

Then we can write an equation for Newton's 2nd law:

F = ma

This tells us that the mass of a body multiplied by its acceleration equals the force applied to that body that gave it the acceleration a.

We can also rearrange the equation so

a = F / m

What does this equation tell us?

Acceleration is proportional to the applied force

So the acceleration is directly proportional to the applied force. Double the force F and a doubles. Triple the force F and a is tripled and so on.

Acceleration is inversely proportional to the mass

For larger masses, acceleration is smaller for the same force. So for example, In the equation above if we double m, a is halved.

Imagine in the example above that the sports car engine was placed into a heavy train locomotive and could drive the wheels. Because the mass of the locomotive is so large, the force creates much lower acceleration and the locomotive takes much longer to reach top speed (In the equation, F is the same, but m is below the line, so a is smaller).

Diagram illustrating Newton's second law of motion
A force accelerates an object with a mass m.© Eugene Brennan

Example: A force of 10 newtons is applied to a mass of 2 kilos. What is the acceleration?

F = ma

So a = F / m = 10 / 2 = 5 m/s2

The velocity increases by 5 m/s every second

Weight as a Force

In this case, the acceleration is g, and is known as the acceleration due to gravity.
g is approximately 9.81 m/s2 in the SI system of units.

Again F = ma

So if the force F is replaced by a variable for weight we choose to be W, then substituting for F and a gives:

W = ma = mg

Example: What is the weight of a 10 kg mass?

W = mg = 10 x 9.81 = 98.1 newtons

Force diagram showing a box representing a weight with annotations explaining the forces
Weight is the force on a mass due to gravity. The weight of a body of mass m equals mg, where g is the acceleration due to gravity.
© Eugene Brennan
3. Newton's Third Law of Motion: Action and Reaction

For every action, there is an equal and opposite reaction.

This means that when a force is exerted on an object, the object pushes back.

Some examples:

  • When you push on a spring, the spring exerts a force back on your hand. If you push against a wall, the wall pushes back.
  • When you stand on the ground, the ground supports you and pushes back up. If you try to stand on water, the water cannot exert enough force and you sink.
  • Foundations of buildings must be able to support the weight of the construction. Columns, arches, trusses and suspension cables of bridges must exert enough reactive compressive or tensile force to support the weight of the bridge and what it carries.
  • When you try to slide a heavy piece of furniture along the floor, friction opposes your effort and makes it difficult to slide the object
Infographic showing stick figures and objects exerting forces
Examples of active and reactive forces
© Eugene Brennan

What is Dry Friction or "Stiction"?

As we saw above, friction is an example of a force. When you attempt to slide a piece of furniture along a floor, friction opposes your effort and makes things more difficult. Friction is an example of a reactive force, and doesn't exist until you push the object (which is the active force). Initially, the reaction balances the applied force i.e. your effort pushing the furniture, and there is no movement. Eventually, as you push harder, the friction force reaches a maximum, known as the limiting force of friction. Once this value is exceeded by the applied force, the furniture will start to slide and accelerate. The friction force is still pushing back and this is what makes it so difficult to continue to slide the object. This is why wheels, bearings, and lubrication come in useful as they reduce friction between surfaces, and replace it by friction at an axle and leverage to overcome this friction. Friction is still necessary to stop a wheel sliding, but it doesn't oppose motion. Friction is detrimental as it can cause overheating and wear in machines resulting in premature wear. So engine oil is important in vehicles and other machines, and moving parts need to be lubricated.

A stickman poshing a box on a table. The force diagram has arrows and annotations showing the forces
Forces acting on a mass when a force attempts to slide it along a surface. When the mass is just about to slide, the friction force Ff reaches a maximum value μRn.
© Eugene Brennan

Dry static friction, also known as stiction (see above diagram)

If F is the applied force on a body

The mass of the body is m

Weight of the body is W = mg

μs is the coefficient of friction (low μ means the surfaces are slippery)

and Rn is the normal reaction. (the reaction force acting upwards at right angles to the surface due to the weight of the object acting downwards)

If the surface is horizontal, then

Reaction Rn = Weight W

Then

limiting friction force is Ff = μsRn = μsW = μsmg

Remember this is the limiting force of friction just before sliding takes place. Before that, the friction force equals the applied force F trying to slide the surfaces along each other, and can be anything from 0 up to μRn.

So the limiting friction is proportional to the weight of an object. This is intuitive since it is harder to get a heavy object sliding on a specific surface than a light object. The coefficient of friction μ depends on the surface. "Slippery" materials such as wet ice and Teflon have a low μ. Rough concrete and rubber have a high μ. Notice also that the limiting friction force is independent of the area of contact between surfaces (not always true in practice)

Kinetic Friction

Once an object starts to move, the opposing friction force becomes less than the applied force. The friction coefficient in this case is μk.

What Are Newton's Equations of Motion? (Kinematics Equations)

There are three basic equations which can be used to work out the distance travelled, time taken and final velocity of an accelerated object.

First let's pick some variable names:

u is the initial velocity

v is the final velocity

s is the distance covered

t is the time taken

and a is the acceleration produced by force F

As long as the force is applied and there are no other forces, the velocity u increases uniformly (linearly) to v after time t.

Force diagram showing an object being acted on by a force, with annotations denoting the various parameters associated with motion
Acceleration of body. Force applied produces acceleration a over time t and distance s
© Eugene Brennan

So for uniform acceleration we have three equations:

v = u + at

s = ut + 1/2 at2

v2 = u2 + 2as

Examples:

(1) A force of 100 newtons accelerates a mass of 5 kg for 10 seconds. If the mass is initially at rest, calculate the final velocity.

Firstly it is necessary to calculate the acceleration.

F = 100 newtons

m = 5 kg

F = ma so a = F/m = 100/5 = 20 m/s2

Next work out the final velocity, knowing the acceleration:

Substitute for u, a and t:

u = initial velocity = 0 since the object is at rest

a = 20 m/s2

t = 10 s

v = u + at = 0 + 20 x 10 = 200 m/s

(2) A mass of 10 kg is dropped from the top of a building which is 100 metres tall. How long does it take to reach the ground?

In this example, in theory it doesn't make any difference what the value for the mass is, the acceleration due to gravity is g irrespective of the mass. Galileo demonstrated this when he dropped two balls of equal sizes but differing masses from the leaning tower of Pisa. However in reality, the drag force due to air resistance will slow down the falling mass, so a 10 kg sheet of timber would fall slower than a 10 kg lead weight. So assume there is no drag and the calculations apply to a weight falling in a vacuum.

We know s = 100 m

g = 9.81 m/s2

u = 0 m/s

We can use the equation s = ut + 1/2 at2

The acceleration a in this case is the acceleration due to gravity so a = g

Therefore substituting for u and g gives

s = 0t +1/2 gt2 s = 1/2gt2

Rearranging

t = √(2s/g) = √(2 x 100) / 9.81 = 4.5 seconds approx

The Hammer and Feather Experiment From Apollo 15

 

Related Reading 

Solving Projectile Motion Problems - Applying Newton's Equations of Motion to Ballistics

How Do Wheels Work? - The Mechanics of Axles and Wheels

 

Mechanics

Applied Mechanics by John Hannah and MJ Hillier is a standard text book for students taking Diploma and Technician courses in engineering. It covers the basic concepts I briefly cover in this article as well as as other topics such as motion in a circle, periodic motion, statics and frameworks, impulse and momentum, stress and strain, bending of beams and fluid dynamics. Worked examples are included in each chapter in addition to set problems with answers provided.

Mathematics

Engineering Mathematics by K.A. Stroud is an excellent math textbook for both engineering students and anyone with an interest in the subject. The material has been written for part 1 of BSc. Engineering Degrees and Higher National Diploma courses.

A wide range of topics are covered including matrices, vectors, complex numbers, calculus, calculus applications, differential equations, series, probability theory, and statistics. The text is written in the style of a personal tutor, guiding the reader through the content, posing questions, and encouraging them to provide the answer.

This book basically makes learning mathematics fun!

References

Hannah, J. and Hillerr, M. J., (1971) Applied Mechanics (First metric ed. 1971) Pitman Books Ltd., London, England.

If you liked this article, you may be interested in reading more articles about mechanics:

Solving Projectile Motion Problems - Applying Newton's Equations of Motion to Ballistics

How Do Wheels Work? - The Mechanics of Axles and Wheels

This content is accurate and true to the best of the author’s knowledge and is not meant to substitute for formal and individualised advice from a qualified professional.

© 2012 Eugene Brennan


Friday, November 14, 2025

Gas Turbine Engines

Types of gas turbine engines. Created by ChatGPT.

Gas turbine engines are used in many applications, not just on aircraft. They power ships, tanks, helicopters and they're also sometimes used in power stations to drive alternators (AC generators) for generating electrical power. Gas turbine engines have been used to power trains in the 50s and 60s, e.g. the Union Pacific GTEL locomotive. A "jet engine" is a specific type of gas turbine engine where a jet is used to provide thrust. The jet can provide thrust directly (turbojet) or power a fan (turbofan engine) or propeller (turboprop). The advantage of a gas turbine engine is its high efficiency when scaled up and run at high power. At small scales (if they were used to power cars) they would be less efficient than a piston engine. Gas turbine engines also have a high power to weight ratio compared to a piston engine.
Thanks to ChatGPT for drawing a graphic for me. 

Nice New Wheels Delivered!

Sealed bearing wheels. © Eugene Brennan
It took me forever last week to source these. The engineering aspect and excuse to post about them is that they have sealed ball bearings, so somewhat better than the cup and cone bearings used in traditional mountain bike wheels. The latter are a pain in the arse to maintain and water gets into the ones on the back wheel when hosing the sprockets after they get covered with muck. So they have to be dismantled, cleaned and degreased (see photo below). Several local bike shops hadn't heard of these wheels or said they didn't exist. Anyway 360cycles.ie will be getting a good review because they were really helpful and gave lots of updates on the progress of sourcing them for me.


Sealed bearing image public domain, courtesy 4volvos.



Components of a rear cup and cone bearing. © Eugene Brennan

Tuesday, October 28, 2025

Saw Setting and Yield Strength

© Eugene Brennan

 

My bow saw blade is years old. I've cut up loads of logs and full trees with it and I sharpen it every so often (an extremely boring and tedious job, because there's probably over a hundred edges to do.) However, it was binding, because I reckoned, the faces of the teeth were worn and there was no kerf remaining. The teeth of a saw blade are alternately set to the left and right, so that they point slightly away from the blade. This gives the saw a kerf, making the width of the cut wider than the body of the blade behind the teeth so the blade doesn't bind. Without a kerf, a blade would stick in damp timber. I used a saw set tool on the blade (one of several old hand tools belonging to my grandfather) and it's working beautifully now, no problem cutting logs up to 5" thick. (Handier than taking out the chainsaw and good for upper body exercise.)
I tried using a saw set on a carpenter's hand saw once and it broke one of the teeth. So I'm wondering can only some modern saws/saw blades be used with a saw set because the teeth are so hard and the ultimate strength of the steel isn't much higher than the yield strength. I.e. once the elastic limit is reached, teeth don't deform plastically and just break? The engineering aspect of this post is that materials have a yield strength which is the max strain they can undergo elastically without permanent deformation. After that they deform plastically and don't spring back into shape. The ultimate strength, measured in units of newtons per square metre or pascals (a pressure measurement) is the point at which a material will fracture.

Thursday, June 12, 2025

Re-Use Your Waste Oil

Waste oil. © Eugene Brennan

Did you know WD-40 isn't specifically a lubricant? Its primary function is as a penetrating oil, for freeing stuck bolts and similar. Waste engine oil is perfectly suitable for hedge cutter blades and garden shears., although probably not good for the environment. It's thicker than light machine oil and so stays longer in contact with metal surfaces, without being squeezed out. Lubrication is a Goldilocks process. The lubricating layer shouldn't be too thin, or surfaces will still rub together, increasing friction. If the layer is too thick, it results in viscous friction, which can cause energy loss and drag on fast moving parts in contact.

Sunday, June 01, 2025

Electric Motors Drive Wheels on Diesel Trains

201 Class locomotive No. 228 at Belfast Central in Enterprise livery. Milepost98, CC BY-SA 4.0, via Wikimedia Commons.

At least on some of them. In the trade, these are called traction motors. All of the locomotives on the Irish rail network are diesel-electric, with engines that run on diesel. However, the engines don't drive the wheels directly. Instead, they power a generator and the wheels are driven by electric motors. This makes it easier to control speed using electronics/electrics, rather than controlling injectors on a diesel engine to vary power. Also, electric motors have full torque at zero RPM, unlike an engine which has to spin up to suck in fuel to produce power, and has zero torque at zero RPM. (Interestingly, steam engines also have full torque at zero RPM, because steam pressure is instantaneously available to power pistons). Both the 071 and 201 Class locomotives, used for InterCity passenger and freight transport, use this system. 071 Class locomotives are mainly used for freight operations. The DART is, of course, electric, and is supplied with power from overhead lines that operate at 1500 V DC. Electricity is "collected" using pantographs attached to the roofs of carriages. All the locomotives on the network are diesel-electric, pulling unpowered coaches. Commuter trains are diesel multiple units (DMUs), as are some InterCity trains. A DMU consists of two or more railcars coupled together to form a trainset, with some or all of the cars powered by their own diesel engines and driving cabs at the ends. Multiple trainsets can be coupled together to form a longer train. While DMUs can be diesel-mechanical (i.e. direct-drive), diesel-electric or diesel-hydraulic, the 22000 Class units, widely used by Iarnród Éireann for commuter and InterCity use, are diesel-hydraulic. Torque is transmitted through a hydraulic fluid in the transmission or gearboxes to drive the wheels on bogies. The 29000 Class units are also diesel-hydraulic. The new DART+ fleet will use battery-electric carriages, in advance of an extension of the electrification of lines beyond the Greater Dublin area. These are known as BEMUs (Battery Electric Multiple Units). On the Dublin-Cork line, electrification will extend to Hazelhatch & Celbridge. 155 of the 185 carriages on order are battery-electric, and a five-carriage train has a battery capacity of 840 kWh and a range of up to 80 km. These batteries are charged by regenerative braking and also "replenished via fast charging stations at chosen terminus locations". According to Iarnród Éireann, charging infrastructure is currently under construction. More info on the DART+ Programme here.

Table 1. Locomotive and DMU classes and their uses on the Irish rail network
Class Type Description Propulsion Power
2600 DMU Two-car commuter train Diesel-hydraulic ~700 hp/car
2800 DMU Two-car commuter train Diesel-hydraulic ~600 hp/car
29000 DMU Four-car commuter train Diesel-hydraulic ~700 hp/car
22000 DMU InterCity and commuter train Diesel-hydraulic ~750 hp/car
071 Locomotive Diesel locomotive Diesel-electric ~3,300 hp
201 Locomotive Diesel locomotive Diesel-electric ~3,200 hp
New BEMU BEMU Five-car battery-electric train (840 kWh battery) Battery-electric Not published
New EMU EMU Five-car electric train Electric Not published

Credits

Thanks to the members of the Facebook group, Irish Railways Present and Past and other Interesting Railways for reading and fact checking this article. 

Tuesday, February 04, 2025

Wind Loads on ESB Poles

Public domain image courtesy Manfredrichter on Pixabay

Back of envelope calculations suggests a 760 N (approximately 76 kg) load on poles for force 10 winds, which doesn't seem like much. But that's for average wind speed. I've asked Kildare Weather have they any recorded gust speeds. Forces increase exponentially with wind velocity. So doubling the wind speed quadruples the load. Presumably poles break when they're rotten at the base and I would think "healthy" poles are unlikely to fail under normal circumstances unless there's a split in the timber.
Edit: Kildare Weather have come back to me with a figure of 85 km/h for Naas and 95 km/h for Maynooth. (Both gust speeds). The latter figure gives a load of 710 N or 72 kg. (For a flat surface. There's probably a factor in the force calculation for round profile objects). Poles are fixed at one end. I.e They're cantilevered. The wind load spread over a pole creates a torque at the base of the pole equal to half the force on the pole multiplied by its length (are poles longer than around 7 m above ground?)

Friday, January 24, 2025

Force of the Wind on a Surface

Illustration of a god-like creature blowing on a wall
Generated by Bing Image Creator

Did you know that the force of wind on a surface depends on the square of the velocity? So if wind speed doubles, the force quadruples. If speed triples, the force is nine times greater and so on. Since pressure equals force divided by area, it also follows a square law.

For a jet hitting a surface (doesn't matter what the jet is made of: air, water etc), the force of the jet in newtons is:
F = ρAv²
where ρ is the density of the fluid in kg/m³
A is the cross-sectional area of the jet in m²
and v is the velocity in m/s
The higher the velocity of the fluid, the greater the force. (Think of your pressure washer jet hitting a surface).
 

What's a "newton"?

 

It's the SI (Système International d'Unités) unit of force. A force of 1 newton (1 N) exerted on a mass of 1 kg will give it an acceleration of 1 m/s². (i.e. the velocity of the mass increases by 1 m/s every second). While all objects have mass, measured in kilos, the force exerted on them by gravity is known as weight. In common usage, we measure weight in kilograms, just like we do for mass, but it is more correctly specified in newtons, the unit of force. To get an idea of the magnitude of 1 newton, it's approximately equal to the force exerted on your hand when a 100 gram weight rests on your palm. While mass stays constant, weight varies and for instance on the Moon, the weight of an object is less.
More information about the subject in this Stack Exchange discussion.

Tuesday, December 10, 2024

The Spire of Dublin and Dampers

The Spire of Dublin. Image courtesy Vmenkov. CC BY-SA 3.0 Unported via Wikimedia Commons.


Did you know The Spire in Dublin has a shock absorber? Technically these are called dampers and your car and even your washing machine has them to reduce vibrations. Dampers are also used on doors, cupboard drawers and even toilet seats to slow their movement. Many large structures such as bridges need dampers to reduce oscillations caused by wind or vehicular traffic.

Resonance 

 

All objects have a natural frequency that they tend to vibrate at. The phenomenon is called resonance and that's how musical instruments work. A column of air in an organ, string on a guitar or bell will vibrate or oscillate at its natural frequency when struck, plucked or vibrated using a reed. If you blow over the mouth of a bottle, the air inside vibrates at a certain pitch. Resonance frequency depends on several factors including physical dimensions, speed of sound in air and mass of the object that's resonating. So in an organ or piano, the longest pipes or strings respectively give the lowest notes. Large structures can resonate due to strong winds and eventually the oscillations can build, ultimately leading to destruction of the structure. (Think of pushing a child on a swing and pushing at the right moment causes the swing to extend further and further).
 

What's a damper?

 

Dampers are used to reduce oscillations so that they continue to decrease in size and die out.
A mechanical damper is typically a cylinder with a piston and also an external coil spring. The viscous damper is connected to the object being damped. As the piston slides along the cylinder, filled with air or oil, viscous friction slows it's movement, converting the energy of the oscillating object into heat and reducing the amplitude of oscillations and causing them to decrease in amplitude.

The Spire of Dublin

 

The Spire in Dublin is a 120 m tall structure and to reduce potentially damaging oscillations, a damper is built inside its structure. The reciprocal of resonance frequency is the period. This is the length of time it takes to do one complete oscillation. So if a guitar string vibrates 100 times a second (100 Hz), the period of the oscillation is 1/100 = 10 mS. The period of The Spire has been analysed as 3.65 seconds. That means when it's oscillating, it sways backwards and forwards once every 3.65 S. To absorb the oscillations and damp them out, the damper was tuned to this frequency. It consists of two large masses, 2 tonne weight in total, attached to the inside of the structure by viscous dampers. You can read more in this article.

Thursday, December 05, 2024

Chopping Off My Finger and Fingerprints

Image created on request by Bing Image Creator.

I’m reading Chapter 8, “The Human Touch” of Irish physicist Laurie Winkless’s book Sticky: The Secret Science of Surfaces.
In 2014, I was doing a spot of gardening at the entrance into my house. The Virginia creeper growing along the wall had covered over the gate pier and was threatening to swallow the gate as well, so it was time to get it back under control. I started to cut it back with a secateurs and after a few minutes of snipping, I ended up on autopilot: snip, pull back, snip pull back, while thinking about other things and losing concentration. I lost visual contact with the secateurs under a clump of vegetation just as a car blew its horn on the road. I looked up while doing one more snip, and felt a dart of sensation, but strangely not intense pain. (Like those stories of people having their leg bitten off by a shark and not being in agony straight away). Realising immediately what I had done, I was terrified of looking down to see what damage I had caused. “Luckily”, I had only cut a piece off the tip of my forefinger the size of half a baked bean, Gross alert! (which I recovered later that day). I went into survival mode straight away. I wrapped my finger in kitchen towel and made my way down to my GP’s clinic. They said they couldn’t do anything with it, and gave me a letter for A&E. Someone gave me a lift into Naas Hospital and after a short wait, an emergency technician dealt with the wound. First they gave me several anaesthetic injections in my finger (not pleasant) and then irrigated the open wound (which was equally unpleasant and uncomfortable). Maybe it hadn’t fully kicked in, but the anaesthetic only seemed to work on pain nerves and not all the other types of sensors and nerves in skin that are sensitive to touch, temperature, pressure etc.) To cut a long story short, my finger totally recovered after a few weeks and even though I had completely lost the top of it and the fingerprints, it magically regrew, complete with prints. It’s still a little bit sensitive when I touch things (with a slightly uncomfortable sensation like when you hit your “funny bone”, presumably due to raw nerve endings), but not something I consciously think about. In the chapter of Laurie Winkless’s book about skin, we learn how it’s a sense that’s unappreciated in its complexity and ability to detect many different sensations. We can also detect roughness on surfaces only a few atoms thick and fingerprints apparently have “roots”, which allow them to grow, luckily for me.

Thursday, October 31, 2024

Heavy Engineering — Drop Hammers and Hydraulic Presses

 

They began as steam or drop hammers, first used in the 1840s for forging large components or driving piles. Steam was used to raise the hammer which was then dropped. Hydraulic presses take a more gentle and less noisy approach, slowly squeezing white hot pieces of steel which can be massive. They also put less stress on the material being forged, shaping it uniformly and reducing the likelihood of flaws. Steam hammers are still used for pile driving.

Wednesday, August 28, 2024

No. 131 — Built in Glasgow in 1901, Withdrawn in 1963

No. 186, built in the 1870s and up until a few years ago, the oldest locomotive still running on the mainline. © Eugene Brennan


I could look at steam trains all day.
No. 131 isn't the oldest locomotive in the RPSI's collection of vintage steam trains. That honour goes to No. 186 which was built in the 1880s and worked as a goods engine but also on passenger trains. Her last operation was hauling beet in 1962/63.

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