Question : The diameter of a circular wheel is 7 m. How many revolutions will it make in travelling 22 km?
Option 1: 100
Option 2: 400
Option 3: 500
Option 4: 1000
Correct Answer: 1000
Solution :
The distance covered in one revolution of a wheel is equal to its circumference, $C$.
$C = \pi d$, where $d$ is the diameter of the wheel.
We have the diameter of the wheel is 7 m.
$\therefore C = \pi \times 7 = \frac{22}{7}×7 = 22\;\mathrm{m}$
In one revolution, the wheel covers approximately 22 m.
The wheel travels 22 km, which is equal to 22000 m.
$\therefore$ Number of revolutions $=\frac{22000}{22} = 1000$
Hence, the correct answer is 1000.
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