A Merry$-$Go$-$Round is rotating with an initial angular velocity of $8\mathrm{.}00$ radians $/$ second in the counter$-$clockwise $($or positive$)$ direction.$$ However, your little sister on the Merry$-$Go$-$Round wants it to go faster.

You push the Merry$-$Go$-$Round with a constant force $($applying a constant torque$)$ for $1\mathrm{.}50$ seconds.$$ During this time you apply a constant angular acceleration of $3\mathrm{.}60$ radians $/$ second$2.$

How many rotations$$does the Merry$-$Go$-$Round complete while you are applying this torque?$$ Make sure to convert your answer from Radians to Rotations.

You push the Merry$-$Go$-$Round with a constant force $($applying a constant torque$)$ for $2\mathrm{.}00$ seconds.$$ After this the Merry$-$Go$-$Round has a final angular velocity of $25\mathrm{.}0$ radians $/$ second.

What is the angular acceleration of the Merry$-$Go$-$Round while you are pushing it with a constant torque?