A rotating object has an angular velocity of 30 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration?
Correct Answer: -6 rad/s²
- Step 1: Identify the initial angular velocity. In this case, it is 30 rad/s.
- Step 2: Identify the final angular velocity. Since the object is brought to rest, the final angular velocity is 0 rad/s.
- Step 3: Identify the time taken to come to rest. This is given as 5 seconds.
- Step 4: Use the formula for angular deceleration: (final angular velocity - initial angular velocity) / time.
- Step 5: Substitute the values into the formula: (0 rad/s - 30 rad/s) / 5 s.
- Step 6: Calculate the result: -30 rad/s / 5 s = -6 rad/s².
- Step 7: The negative sign indicates that it is a deceleration.
- Angular Velocity – The rate of rotation of an object, measured in radians per second.
- Angular Deceleration – The rate at which an object's angular velocity decreases, typically expressed in radians per second squared.
- Kinematic Equations for Rotational Motion – Equations that relate angular displacement, angular velocity, angular acceleration, and time.
