Question

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder moment of inertia about the axis is 4 kg m2. At time t = 0 the cylinder is at rest. At time t = 2 seconds its angular velocity is 1 radian per second.

Answer 1

Answer:$0.5 rad/s^2$

Explanation:

Given

Moment of inertia of cylinder $I=4 kg-m^2$

Angular velocity after 2 s is $\omega _2=1 rad/s$

initial angular velocity $\omega _1=0 rad/s$

Using

$\omega _2=\omega _1+\alpha t$

where $\alpha =angular\ acceleration$

$1=0+\alpha \times 2$

$\alpha =\frac{1}{2}=0.5 rad/s^2$