A flywheel is rotating with an angular speed of 30 rad/s. If it comes to rest in

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Question: A flywheel is rotating with an angular speed of 30 rad/s. If it comes to rest in 10 seconds, what is the angular deceleration? (2020)

Options:

Correct Answer: 3 rad/s²

Exam Year: 2020

Solution:

Using the formula α = (ω - ω₀)/t, we have α = (0 - 30 rad/s) / 10 s = -3 rad/s².

A flywheel is rotating with an angular speed of 30 rad/s. If it comes to rest in 10 seconds, what is the angular deceleration? (2020)

A flywheel is rotating with an angular speed of 30 rad/s. If it comes to rest in 10 seconds, what is the angular deceleration? (2020)

Step 1: Identify the initial angular speed (ω₀). In this case, it is 30 rad/s.
Step 2: Identify the final angular speed (ω). Since the flywheel comes to rest, the final speed is 0 rad/s.
Step 3: Identify the time (t) it takes to come to rest. Here, it is 10 seconds.
Step 4: Use the formula for angular deceleration (α): α = (ω - ω₀) / t.
Step 5: Substitute the values into the formula: α = (0 rad/s - 30 rad/s) / 10 s.
Step 6: Calculate the result: α = -30 rad/s / 10 s = -3 rad/s².
Step 7: Interpret the result. The negative sign indicates that it is a deceleration.

Angular Deceleration – Angular deceleration is the rate at which an object's angular velocity decreases over time.
Kinematic Equations for Rotational Motion – The relationship between initial angular velocity, final angular velocity, time, and angular acceleration.