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A disk is rotating with an angular velocity of 10 rad/s. If it experiences a con

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Question: A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?

Options:

  1. 20 rad/s
  2. 10 rad/s
  3. 30 rad/s
  4. 15 rad/s

Correct Answer: 20 rad/s

Solution: 

Using the formula ω = ω₀ + αt, we have ω = 10 + 2*5 = 20 rad/s.

A disk is rotating with an angular velocity of 10 rad/s. If it experiences a con

Practice Questions

Q1
A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?
  1. 20 rad/s
  2. 10 rad/s
  3. 30 rad/s
  4. 15 rad/s

Questions & Step-by-Step Solutions

A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?
  • Step 1: Identify the initial angular velocity (ω₀). In this case, it is 10 rad/s.
  • Step 2: Identify the angular acceleration (α). Here, it is 2 rad/s².
  • Step 3: Identify the time (t) for which the acceleration is applied. In this case, it is 5 seconds.
  • Step 4: Use the formula for angular velocity: ω = ω₀ + αt.
  • Step 5: Substitute the values into the formula: ω = 10 + (2 * 5).
  • Step 6: Calculate the result: ω = 10 + 10 = 20 rad/s.
  • Angular Velocity – The rate of rotation of an object, measured in radians per second.
  • Angular Acceleration – The rate of change of angular velocity, measured in radians per second squared.
  • Kinematic Equations for Rotational Motion – Equations that relate angular displacement, angular velocity, angular acceleration, and time.
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