A rotating object has an angular velocity of 30 rad/s. If it is brought to rest

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Question: 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?

Options:

Correct Answer: 6 rad/s²

Solution:

Angular deceleration = (final angular velocity - initial angular velocity) / time = (0 - 30 rad/s) / 5 s = -6 rad/s².

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?

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.