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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 $C$ which is given by:

$C=d \pi$

Replace $d$ with $60$

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

Distance travelled after the wheel has rotated 100 times is:

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

Convert to metre by dividing by $100$

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

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