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A flywheel is rotating with an angular velocity of 10 rad/s. If it is brought to

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Question: A flywheel is rotating with an angular velocity of 10 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration? (2020)

Options:

  1. 2 rad/s²
  2. 5 rad/s²
  3. 10 rad/s²
  4. 20 rad/s²

Correct Answer: 5 rad/s²

Exam Year: 2020

Solution: 

Angular deceleration α = (final angular velocity - initial angular velocity) / time = (0 - 10) / 5 = -2 rad/s².

A flywheel is rotating with an angular velocity of 10 rad/s. If it is brought to

Practice Questions

Q1
A flywheel is rotating with an angular velocity of 10 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration? (2020)
  1. 2 rad/s²
  2. 5 rad/s²
  3. 10 rad/s²
  4. 20 rad/s²

Questions & Step-by-Step Solutions

A flywheel is rotating with an angular velocity of 10 rad/s. If it is brought to rest in 5 seconds, what is the angular deceleration? (2020)
  • Step 1: Identify the initial angular velocity. In this case, it is 10 rad/s.
  • Step 2: Identify the final angular velocity. Since the flywheel 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 (α): α = (final angular velocity - initial angular velocity) / time.
  • Step 5: Substitute the values into the formula: α = (0 - 10) / 5.
  • Step 6: Calculate the result: α = -10 / 5 = -2 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.
  • Kinematics of Rotational Motion – This involves understanding the relationships between angular displacement, angular velocity, and angular acceleration.
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