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