A wheel starts from rest and is given a constant angular acceleration of for

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A wheel starts from rest and is given a constant angular acceleration of

4\,\text{rad s}^{-2}

for

3\,\text{s}

. Immediately afterwards it experiences a constant angular deceleration of

2\,\text{rad s}^{-2}

until it comes to rest. What is the average angular velocity during the entire motion? (a)

9\,\text{rad s}^{-1}

(b)

6\,\text{rad s}^{-1}

(c)

12\,\text{rad s}^{-1}

(d)

5.33\,\text{rad s}^{-1}