Question

a uniform circular disk of mass 1.0 kg and radius 2.0 m is rotating about an axis through its center and perpendicular to its plane. it is slowing down at the rate of 7.0 rad/s2. the net torque acting on it is___

Answer 1

The net torque acting on the uniform circular disk is -14 N*m.

Step-by-step explanation:

The net torque acting on the uniform circular disk can be determined using the formula:

Torque = Moment of Inertia * Angular Acceleration

Moment of Inertia of a disk = (1/2) * mass * radius^2

Given: mass = 1.0 kg and radius = 2.0 m

Substituting the values into the formula:

Moment of Inertia = (1/2) * 1.0 kg * (2.0 m)^2 = 2.0 kg*m^2

Angular Acceleration = -7.0 rad/s^2 (negative sign indicates slowing down)

Substituting the values into the torque formula:

Torque = 2.0 kg*m^2 * (-7.0 rad/s^2) = -14 N*m

Therefore, the net torque acting on the disk is -14 N*m.