# What torque would have to be applied to a rod with a length of #4 m# and a mass of #8 kg# to change its horizontal spin by a frequency #9 Hz# over #2 s#?

##### 1 Answer

Jan 11, 2018

The torque for the rod rotating about the center is

The torque for the rod rotating about one end is

#### Explanation:

The torque is the rate of change of angular momentum

The mass of the rod is

The length of the rod is

The moment of inertia of a rod, rotating about the center is

The rate of change of angular velocity is

So the torque is

The moment of inertia of a rod, rotating about one end is

So,

The torque is