Question

Which of the following scenarios would result in the largest angular displacement traveled by a point on the disk, assuming all other properties stayed the same? The amount of time the angular acceleration occurred is doubled. The angular acceleration of the system is doubled. No change to the system. The initial angular velocity of the system is doubled. None of the choices would result in a change to the angular distance. All of the choices are the same.

Answer 1

Answer:

The angular acceleration of the system is doubled.

Explanation:

The angular displacement is defined as the angle through which an object moves on a circular path.

                               θ = ΔS ÷ r

It is the angle between the initial and final positions. The unit is radians.

Angular acceleration α is defined as the rate of change of angular velocity with time. It is inversely proportional to mass of the object in motion.

                                  $\alpha$ = dω ÷ dt

The unit is $\frac{rad}{s^{2} }$.

Thus, doubling the angular acceleration of the system would result to the largest angular displacement traveled by a point on the disk.