Answer:
A,B and C
Explanation:
Statement A
At all times, angular velocity is
Angular acceleration is the rate of change in angular velocity with respect to time.
Angular velocity and angular acceleration are related by
Which when re-arranged becomes
There’s no change in angular velocity anytime when the angular velocity is
The equation can be modified as follows:
Therefore, the angular acceleration becomes zero hence statement A is valid.
Statement B
Angular acceleration is the rate of change in angular velocity with respect to time.
Angular velocity and angular acceleration are related by
Which when re-arranged becomes
There’s no change in angular velocity anytime when the angular velocity is .The final and initial velocities remain the same.
The equation can be modified as follows:
Therefore, the angular acceleration becomes zero and statement B is valid
Statement C
Angular velocity is defined as the change in the angular position with respect to time.
Angular velocity and angular displacement are related by
Which can also be modified as:
Note that the final position is and initial position is
Modifying the equation to find the angular velocity we obtain
When the angular displacement has the same value at all times, the equation becomes
The angular velocity becomes zero.
Angular acceleration and angular velocity are related by
The expression above can be rearranged as follows:
At all times, the angular velocity is hence initial and final velocities remain the same
We obtain
Therefore, the angular acceleration becomes zero and statement C is valid.
Therefore, statements A,B and C are consistent .