# The Wheel Of A Motorcycle Is Of Radius 35 Cm. The Number Of Revolutions Per Minute Must The Wheel Make So As To Keep A Speed Of 66 Km/H Is

Given:

The radius of a wheel, r = 35 cm = 0.35 m.

The speed it must keep, s = 66 km/h =$$\frac{66 * 1000}{60} m/min = 1100 m/min$$

The number of revolutions, n it makes per minute to maintain that speed.

The circumference of the wheel, C = $$2\Pi r = 2 * \frac{22}{7} * 0.35m = 2.2 m.$$

The distance the wheel covers in 1 min, d = 1100 m.

Now the distance covered by a wheel in one revolution = the circumference of the wheel.

Therefore, the number of revolutions, n = $$\frac{d}{C}$$ $$\Rightarrow \frac{1100}{2.2}$$ $$\Rightarrow 500$$

Explore more such questions and answers at BYJU’S.