Question

A bicycle wheel rotates at a constant 25 rev/min. What is true about its angular acceleration?

Answer 1

The angular acceleration is zero

Step-by-step explanation:

When an object is in rotational motion, it has a certain angular velocity, which is the rate of displacement of its angular position.

This angular velocity can change or remain constant - this is given by the angular acceleration, which is:

`\alpha =(\Delta \omega)/(\Delta t)`

where

`\Delta \omega` is the change in angular velocity

`\Delta t` is the time elapsed

Therefore, the angular acceleration is the rate of change of angular velocity.

In this problem, the bicycle rotates at a constant angular velocity of

`\omega=25 rev/min`

This means that the change in angular velocity is zero:

`\Delta \omega=0`

And so, that the angular acceleration is zero:

`\alpha=0`