The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Solution:

As D = 80 cm, the radius of a car’s wheel is 80/2 = 40 cm.

Thus, 2πr = 80π cm is the circumference of the wheels.

The distance covered in a single revolution is now 80 cm (circumference of the wheel).

The distance travelled by the car in one hour = 66 kilometres.

We get Distance covered by the car in 1 hour = (66×105) cm when we convert km to cm.

The distance travelled in 10 minutes is = (66×105×10)/60 = 1100000 cm/s 

∴ Distance covered by car = 11×105 cm

Now, the number of wheel revolutions = (Car distance/Wheel circumference)

= ( 11×105)/80 π = 4375.