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A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from

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Question: A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)

Options:

  1. 5 rad/s
  2. 10 rad/s
  3. 15 rad/s
  4. 20 rad/s

Correct Answer: 10 rad/s

Exam Year: 2022

Solution: 

Using the formula ω = ω₀ + αt, where ω₀ = 0, α = 2 rad/s², and t = 5 s, we get ω = 0 + 2*5 = 10 rad/s.

A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from

Practice Questions

Q1
A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)
  1. 5 rad/s
  2. 10 rad/s
  3. 15 rad/s
  4. 20 rad/s

Questions & Step-by-Step Solutions

A wheel is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)
  • Step 1: Identify the initial angular velocity (ω₀). Since the wheel starts from rest, ω₀ = 0 rad/s.
  • Step 2: Identify the angular acceleration (α). The problem states that α = 2 rad/s².
  • Step 3: Identify the time (t) for which the wheel is accelerating. Here, t = 5 seconds.
  • Step 4: Use the formula for angular velocity: ω = ω₀ + αt.
  • Step 5: Substitute the values into the formula: ω = 0 + (2 rad/s² * 5 s).
  • Step 6: Calculate the result: ω = 0 + 10 rad/s = 10 rad/s.
  • Angular Motion – Understanding the relationship between angular acceleration, time, and angular velocity.
  • Kinematic Equations for Rotational Motion – Application of the formula ω = ω₀ + αt to calculate final angular velocity.
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