The bicycle wheel has a radius of 50 cm and makes 120 rpm. What is the speed of the bike?

To solve the problem, we first translate the number of revolutions per minute into rev / s.

Since there are 60 seconds in 1 minute, we get:

120/60 = 2 rev / s.

In this case, 1 turnover will be made for:

1/2 = 0.5 seconds.

Bicycle speed can be determined by the formula:

V = 2 * P * R / T,

Where:

P – constant equal to 3.14;

R is the radius of the wheel;

T is the time of one revolution of the wheel.

50 cm = 0.5 meters.

Substitute the values from the condition and get:

V = (2 * 3.14 * 0.5) / 0.5 = 6.28 m / s.

Answer:

Bicycle speed 6.28 m / s.