When a ceiling fan rotating with an angular speed of 2.20 rad/s is turned off, a frictional torque of 0.225 n · m slows it to a stop in 25.5 s. what is the moment of inertia of the fan?

The moment of inertia of the fan is 2.60 kg-m²

Explanation:

Given that,

Angular speed = 2.20 rad/s

Torque = 0.225 N-m

Time = 25.5 sec

We need to calculate the moment of inertia of the fan

Using formula of torque

We know that,

The angular velocity is

Put the value of in to the formula of torque

Put the value into the formula

Hence, The moment of inertia of the fan is 2.60 kg-m²

the answer is b, have negligible mass