# An object with a mass of # 3 kg# is traveling in a circular path of a radius of #2 m#. If the object's angular velocity changes from # 1 Hz# to # 3 Hz# in # 5 s#, what torque was applied to the object?

##### 1 Answer

Jan 4, 2016

#### Explanation:

From rotational dynamics we get that

But since angular acceleration is the rate of change in angular velocity, we get that

We then first need to convert the linear frequency in Hertz into angular frequency in rad/s.

Moment of inertia

So in this case for a point mass,

Therefore resultant torque is