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Question

If the wheel of a bicysele has a diameter of 60 cm, calculate how far a cyclist will have travelled after the wheel has rotated 100 times.

Solution

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Distance travelled after one complete turn of the wheel is the circumference of the wheel CC which is given by:

C=dπC=d \pi

Replace dd with 6060

C=60π=188.49556 cmC=60 \pi =\color{#4257b2}188.49556\ \text{cm}

Distance travelled after the wheel has rotated 100 times is:

100×188.49556=18849.556 cm100 \times 188.49556=\color{#4257b2}18849.556\ \text{cm}

Convert to metre by dividing by 100100

Distance travelled =188.49556188.5 m=188.49556 \approx \color{#4257b2}188.5\ \text{m}

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