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Centre for Innovation in Mathematics Teaching
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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 of the arc produced by the wave. Trigonometry is then used to find the angle at the centre of the sector to enable to length of the arc to be calculated. To complete the task students find the percentage elongation and generalise their results.
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Wavy edges 26.18 KB
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