A net torque of 54 N.m is applied to a disk with a rotational inertia of 13.2 kg.m2
What is the rotational acceleration of the disk?
To find the rotational acceleration of the disk, we can use the equation:
Torque = rotational inertia × angular acceleration
Rearranging the equation, we get:
Angular acceleration = Torque / Rotational inertia
Plugging in the given values:
Torque = 54 N.m
Rotational inertia = 13.2 kg.m2
We can now calculate the angular acceleration:
Angular acceleration = 54 N.m / 13.2 kg.m2
Simplifying the units, we can cancel out the kilograms and meters:
Angular acceleration = 4.09 rad/s2
Therefore, the rotational acceleration of the disk is 4.09 rad/s2.