Question

A bicycle wheel makes 500 revolution in moving 22km. Find the diameter of the wheel

Answer 1

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Answer 2

The diameter of the wheel is 14 m.

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Let's understand a few concepts:

To solve the given problem we will use the following formula:

$\boxed{\bold{Circumference\:of\:a\:circle = 2\pi r}}$

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Let's solve the given problem:

The distance covered by the bicycle wheel = 22 km

The no. of revolutions = 500

We know that,

Total distance covered = [No. of revolutions] × [Circumference of the circle]

We can form an equation as,

$22 = 500 \times 2\pi r$

$\implies 22 = 500 \times 2\times \frac{22}{7} \times r$

$\implies 1 = 500 \times 2\times \frac{1}{7} \times r$

$\implies r = \frac{7}{500\times 2}$

$\implies r = \frac{7}{1000}$

$\implies r = 0.007\:km$

• 1 km = 1000 m

$\implies r = 0.007\times 1000\:m$

$\implies \bold{r = 7\:m}$ ← the radius of the wheel

∴ The diameter of the wheel is,

= $2\times radius$

= $2\times 7$

= $\bold{14\:m}$

Thus, the diameter of the wheel is 14 m.

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