If, during the rectilinear movement of the bus, its wheels with a diameter of 0.5 m

If, during the rectilinear movement of the bus, its wheels with a diameter of 0.5 m rotate without slipping, with a frequency of 12 r / s, then the bus speed is equal to.

Given:

d = 0.5 meters – the diameter of the bus wheel;

n = 12 rev / s (revolutions per second) – the frequency of rotation of the wheels of the bus.

It is required to determine v (m / s) – the speed of the bus.

Find the circumference of the bus wheel:

L = n * d, where n = 3.14 is the Pythagorean number;

L = 3.14 * 0.5 = 1.57 meters.

Then, to determine the speed of the bus, you need to use the following formula:

v = n * L = 12 * 1.57 = 18.84 meters per second.

Answer: the speed of the bus is 18.84 m / s.