What is the speed of the car, if its wheels, with a radius of 30 m, make 600 revolutions per minute.

Since the wheels of a car cannot have a radius of 30 meters, we consider that a typo has occurred, and the radius of the wheels of a car is 30 centimeters. Then:

Given:

R = 30 centimeters = 0.3 meters – the radius of the car wheel;

pi = 3.14 – geometric constant;

n = 600 rpm – the frequency of rotation of the wheels of the car.

It is required to determine the vehicle speed v (m / s).

The circumference of the wheel is:

S = 2 * pi * R = 2 * 3.14 * 0.3 = 0.6 * 3.14 = 1.9 meters.

Then the vehicle speed will be equal to:

v = S * n = 1.9 * 600 = 1140 meters per minute = 1140/60 = 19 meters per second.

Answer: the vehicle speed is 19 m / s.