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Wavy Edges

Due to problems in the manufacture of tinplate coils, the edge of the strip can be slightly longer than the centre. This causes a 'wave' on the wall of the coil but can be rectified by differentially stretching the strip to make the edges flat. Students are required to apply Pythagoras' theorem to find the radius...

Tin Can Design

Tin cans come in a variety of shapes and sizes. In this activity students consider the net of a tin can, the formula for the total surface area and the formula for the volume of the can. The first problem requires students to express the total surface area as a function of r by eliminating h. The second problem...

Reduction Mill

The reduction mill reduces the thickness of a strip of steel using a series of rollers, each roller making the steel slightly thinner. The percentage reduction is constant on each pair of rollers. The mathematics used to calculate the actual reduction is similar to that used when calculating compound interest....

Drinks Cans

Drinks cans are made by stamping out circular discs from a sheet of tin. Given the dimensions of the sheet of tin and the diameter of the circle stamped out, students are required to calculate the wastage and to investigate whether there is a more efficient method. The problem requires students to be able to...

Coil Feed Line

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...

Engaging Maths

A resource from the Engineering and Physical Sciences Research Council (EPSRC) which explores the role of the mathematical sciences in our lives - in security, telecommunications and the internet, the environment, finance and economics, industry, transport and travel, and in medicine and biology.

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UTOPIAE - CPD for Advanced Higher Physics/Maths teachers

UTOPIAE presents two...

Rocket performance in Bloodhound SSC

This detailed exemplar explores the rocket engine performance in the BLOODHOUND SSC engineering project. It requires student knowledge of physics, chemistry and mathematics when applied in mechanical engineering.

​The resource explains the history of the BLOODHOUND project, the dynamics of...

Confucius Quote

This Pedagogics resource uses the following quote from the Chinese philosopher Confucius: "Tell me...and I will forget. Show me... and I will remember. Involve me... and I will understand"

Sticks and Stones Will Break My Bones

This resource by Pedagogics explores subtle adjustments to teacher's language in order to be less emotive, more objective-led and promote progress.

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