# What torque would have to be applied to a rod with a length of #4 m# and a mass of #3 kg# to change its horizontal spin by a frequency of #12 Hz# over #4 s#?

##### 1 Answer

Mar 24, 2017

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 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