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

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Question: A flywheel is rotating with an angular speed 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: 

Using the formula α = (ω - ω₀)/t, we have α = (0 - 10)/5 = -2 rad/s², so the deceleration is 2 rad/s².

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

Practice Questions

Q1
A flywheel is rotating with an angular speed 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 speed 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 speed (ω₀). In this case, it is 10 rad/s.
  • Step 2: Identify the final angular speed (ω). Since the flywheel is brought to rest, the final speed is 0 rad/s.
  • Step 3: Identify the time (t) it takes to come to rest. Here, it is 5 seconds.
  • Step 4: Use the formula for angular deceleration (α): α = (ω - ω₀) / t.
  • 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: Since we are looking for deceleration, take the absolute value: the deceleration is 2 rad/s².
  • Angular Deceleration – Angular deceleration is the rate of decrease of angular velocity over time, calculated using the change in angular speed divided by the time taken.
  • Kinematic Equations for Rotational Motion – The formula α = (ω - ω₀)/t is a kinematic equation used to relate angular acceleration (α), initial angular velocity (ω₀), final angular velocity (ω), and time (t).
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