Question

The wheel of a bicycle has a radius of 40 cm. Calculate its period of revolution if the bicycle moves with a speed of 20km / h How much is the angular velocity?

Answer 1

The period of revolution of the wheel is 0.002 seconds. The angular velocity of the wheel is 50,000 rad/h.

Step-by-step explanation:

The period of revolution of a wheel can be calculated using the formula T = 2πr / v, where T is the period, r is the radius, and v is the linear velocity.

In this case, the radius of the wheel is 40 cm, which is equal to 0.4 m.

The linear velocity of the bicycle is 20 km/h, which is equal to 20,000 m/h.

Substituting the values into the formula, we get T = (2π * 0.4) / 20,000

= 0.002 seconds.

The angular velocity can be calculated using the formula ω = v / r, where ω is the angular velocity, v is the linear velocity, and r is the radius.

Substituting the values into the formula, we get ω = 20,000 / 0.4

= 50,000 rad/h.