# An object with a mass of # 2 kg# is traveling in a circular path of a radius of #4 m#. If the object's angular velocity changes from # 1 Hz# to # 5 Hz# in # 2 s#, what torque was applied to the object?

##### 1 Answer

Feb 14, 2018

The torque is

#### Explanation:

The torque is the rate of change of angular momentum

where

The mass of the object is

The radius of the path is

For the object,

So,

The initial angular velocity is

The final angular velocity is

The time is

The angular acceleration is

So,

The torque is