Moderate# Angular Momentum and Torque

APPH12-1ZHXHZ

You and your friend are swinging a baseball ($m$ $=$ $0.75$ $kg$) in a circle (attached to a mass-less rope). The rope has a length of $r$ $=$ $1.25$ $m$. The baseball is currently moving at an angular velocity of $\omega$ $=$ $3.5$ $\frac {rad}{s}$.

If a torque of $5.0$ $N\cdot m$ perpendicular to the lever arm is applied for $t$ $=$ $2.0$ $s$, what is the final angular velocity of the baseball?