A wheel has a rotational inertia of 16 kgm2. Over an interval of 2.0 s its angular velocity increases from 7.0 rad/s to 9.0 rad/s. What is the average power done by the torque

128.61 Watts

Explanation:

Average power done by the torque is expressed as the ratio of the workdone by the toque to time.

Power = Workdone by torque/time

Workdone by the torque = =

I is the rotational inertia = 16kgm²

To get the angular acceleration, we will use the formula;

Workdone by the torque = 16 * 1.28 * 12.56

Workdone by the torque = 257.23 Joules

Average power done by the torque = Workdone by torque/time

=  257.23/2.0

= 128.61 Watts

The equation that relates force and torque is Torque = Force*length*sin(angle). Plug in the given values to the equation (convert length to meters first): -13 = Force * 0.35 * sin(30 degrees). Rearrange to solve for Force: Force = -13/(0.35 * 0.5) = -74.3 N (which is the same as a downward force of magnitude 74.3 N.