Chapter 8, Problem 49A

To determine

Whether the angular velocity of a bicycle wheel is decreasing, increasing or constant if it rotates at a constant rate of $25\text{rev/min}$ .

Answer to Problem 49A

Constant

Explanation of Solution

Introduction:

The constant rate of revolution of the wheel means that the wheel covers a fixed angular distance in a time.

Now, if in a time, a wheel covers a fixed distance or undergoes fixed revolutions in a minute, then its angular velocity must be constant since the angular velocity is basically the rate of change of angular distance.

Conclusion:

Hence, the angular velocity of the wheel is constant if it rotates at a constant $25\text{rev/min}$ .