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Resources tagged with engineering similar to Maths in the Undergraduate Physical Sciences:

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Broad Topics > Applications > engineering

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Maths in the Undergraduate Physical Sciences

Stage: 5

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .

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The Power of Dimensional Analysis

Stage: 4 and 5

An introduction to a useful tool to check the validity of an equation.

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Advanced STEM

Stage: 4 and 5 Challenge Level: Challenge Level:1

Advanced problems in the mathematical sciences.

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Core Scientific Mathematics

Stage: 4 and 5 Challenge Level: Challenge Level:1

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

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Moving Stonehenge

Stage: 5 Challenge Level: Challenge Level:1

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

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Keep Your Momentum Going

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

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Battery Modelling

Stage: 5 Challenge Level: Challenge Level:1

Find out how to model a battery mathematically

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Ramping it Up

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the calculus behind the simple act of a car going over a step.

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New Units for Old

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you match up the entries from this table of units?

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The Not-so-simple Pendulum 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Things are roughened up and friction is now added to the approximate simple pendulum

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Powerfully Fast

Stage: 5 Challenge Level: Challenge Level:1

Explore the power of aeroplanes, spaceships and horses.

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Pumping the Power

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

What is an AC voltage? How much power does an AC power source supply?

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Mach Attack

Stage: 5 Challenge Level: Challenge Level:1

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

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Stemnrich - Technology

Stage: 3 and 4 Challenge Level: Challenge Level:1

This is the technology section of stemNRICH - Core.

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The Not-so-simple Pendulum 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

See how the motion of the simple pendulum is not-so-simple after all.

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Go Spaceship Go

Stage: 5 Challenge Level: Challenge Level:1

Show that even a very powerful spaceship would eventually run out of overtaking power

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More Bridge Building

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Which parts of these framework bridges are in tension and which parts are in compression?

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Making More Tracks

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?

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Engnrich

Stage: 5 Challenge Level: Challenge Level:1

engNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of engineering

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Physnrich

Stage: 4 and 5 Challenge Level: Challenge Level:1

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

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Model Solutions

Stage: 5 Challenge Level: Challenge Level:1

How do these modelling assumption affect the solutions?

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Dam Busters 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?

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Adding Machine

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you set the logic gates so that this machine can decide how many bulbs have been switched on?

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AC/DC Circuits

Stage: 5

This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.

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A Circuit Problem

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

Explore the voltages and currents in this interesting circuit configuration.

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Random Squares

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What is a random pattern?

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Circular Circuitry

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What will happen when you switch on these circular circuits?

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Overarch 1

Stage: 5 Short Challenge Level: Challenge Level:1

This short question asks if you can work out the most precarious way to balance four tiles.

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Dam Busters 1

Stage: 5 Challenge Level: Challenge Level:1

At what positions and speeds can the bomb be dropped to destroy the dam?

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Bridge Builder

Stage: 5 Challenge Level: Challenge Level:1

In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.

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Stonehenge Is Going Nowhere

Stage: 4 Challenge Level: Challenge Level:1

In an extension to the Stonehenge problem, consider the mechanical possibilities for an arrangement of frictional rollers.

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Beam Me Up

Stage: 5 Challenge Level: Challenge Level:1

A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree

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Euler's Buckling Formula

Stage: 5 Challenge Level: Challenge Level:1

Derive Euler's buckling formula from first principles.

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Building up Friction

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

A series of activities to build up intuition on the mathematics of friction.

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Turbo Turbines

Stage: 5 Challenge Level: Challenge Level:1

A look at power generation using wind turbines.

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Dangerous Driver?

Stage: 5 Challenge Level: Challenge Level:1

Was it possible that this dangerous driving penalty was issued in error?

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Approximately Certain

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

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Who Is an Engineer? A Quick Perspective After One Year of a University Engineering Course

Stage: 5

Doug has just finished the first year of his undergraduate engineering course at Cambridge University. Here he gives his perspectives on engineering.

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Not Another NAND!

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Prove that you can make any type of logic gate using just NAND gates.

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Impedance Can Be Complex!

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Put your complex numbers and calculus to the test with this impedance calculation.

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The Wheatstone Bridge

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the mathematics behind the famous Wheatstone Bridge circuit.

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Differential Electricity

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.

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Maximum Flow

Stage: 5 Challenge Level: Challenge Level:1

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

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Overarch 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

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Mystery Procedure

Stage: 4 Challenge Level: Challenge Level:1

Can you work out what this procedure is doing?

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Stonehenge

Stage: 5 Challenge Level: Challenge Level:1

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

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Procedure Solver

Stage: 5 Challenge Level: Challenge Level:1

Can you think like a computer and work out what this flow diagram does?


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