### Your car tire is rotating at 4.0 rev/s when suddenly you press down hard on the accelerator. After traveling 300 m, the tire’s rotation has increased to 6.5 rev/s . The radius of the tire is 32 cm.

### A) What was the tire’s angular acceleration? Give your answer in rad/s²?

**SOLUTION:**

**PART A**

**ANSWER: α=0.55 rad/s²**

We are given an initial angular velocity of 4.0 rev/s and a final angular acceleration of 6.5 rev/s. Convert this angular velocities to rad/s.

The car traveled . Solve for the angular displacement

Solve for the angular acceleration