Question

The diameter of a wheel is 0.70m . find the distance covered by it in 500 revolutions. if the wheel takes 5 minutes to make 500 revolutions, find its speed in (1)m/sec (2)km/hour

Answer 1

Since the diameter of the roller is 0.7m, its radius is 0.35m.

In one revolution, the wheel covers the distance of one circumference.

Circumference of the roller of radius 0.35m=2×  $\frac{22}{7}$×0.35=2.2m

Distance travelled in 500 revolutions =500×2.2m=1100m

Speed =  $\frac{distance}{time}$=  $\frac{1100m}{5minutes}$ =  $\frac{1100}{5 * 60seconds}$=$3\frac{2}{3} m/s$

m/s can be converted to km/hr using the formula  m/s ×3.6= km\hr

Now,

$3\frac{2}{3}$ ×3.6=13.2 km/hr