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Question

How many times a wheel of radius $28cm$ must rotate to go $352m$? (Take $\pi =\frac{22}{7}$)

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Solution

Step 1: Find the circumference of the wheelThe circumference of the wheel is given as $C=2\mathrm{\pi r}$$C=2×\frac{22}{7}×28\left[\because \pi =\frac{22}{7}\right]\phantom{\rule{0ex}{0ex}}C=176cm$Step 2 : Find the number of rotations$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{rotations}\mathrm{of}\mathrm{wheel}=\frac{\mathrm{Total}\mathrm{distance}\mathrm{covered}}{\mathrm{Circumference}\mathrm{of}\mathrm{the}\mathrm{wheel}}$ . $=\frac{352×100}{176}\phantom{\rule{0ex}{0ex}}=200$ $\mathbf{\left[}\mathbf{\because }\mathbf{1}\mathbf{}\mathbf{m}\mathbf{=}\mathbf{100}\mathbf{}\mathbf{cm}\mathbf{\right]}$Hence, the given wheel completes $200$ rotations to travel $352m$.

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