A flywheel is rotating with an angular velocity of 15 rad/s. If it comes to rest

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Question: A flywheel is rotating with an angular velocity of 15 rad/s. If it comes to rest in 3 seconds, what is the angular deceleration?

Options:

Correct Answer: 10 rad/s²

Solution:

Angular deceleration = (final angular velocity - initial angular velocity) / time = (0 - 15) / 3 = -5 rad/s², so the magnitude is 5 rad/s².

A flywheel is rotating with an angular velocity of 15 rad/s. If it comes to rest in 3 seconds, what is the angular deceleration?

A flywheel is rotating with an angular velocity of 15 rad/s. If it comes to rest in 3 seconds, what is the angular deceleration?

Correct Answer: 5 rad/s²

Step 1: Identify the initial angular velocity. In this case, it is 15 rad/s.
Step 2: Identify the final angular velocity. Since the flywheel comes to rest, the final angular velocity is 0 rad/s.
Step 3: Identify the time it takes to come to rest. This is given as 3 seconds.
Step 4: Use the formula for angular deceleration: (final angular velocity - initial angular velocity) / time.
Step 5: Plug in the values: (0 - 15) / 3.
Step 6: Calculate the result: -15 / 3 = -5 rad/s².
Step 7: The negative sign indicates deceleration. The magnitude of angular deceleration is 5 rad/s².

Angular Velocity – The rate of change of angular position of a rotating object, measured in radians per second.
Angular Deceleration – The rate at which an object slows down its rotation, calculated as the change in angular velocity over time.
Kinematic Equations for Rotational Motion – Equations that relate angular displacement, angular velocity, angular acceleration, and time.