A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a

Practice Questions

Q1
A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a torque of 3 N·m, what is the angular acceleration?
  1. 0.2 rad/s²
  2. 0.5 rad/s²
  3. 1 rad/s²
  4. 5 rad/s²

Questions & Step-by-Step Solutions

A flywheel is rotating with an angular velocity of 15 rad/s. If it experiences a torque of 3 N·m, what is the angular acceleration?
  • Step 1: Understand the problem. We need to find the angular acceleration (α) of a flywheel that is rotating.
  • Step 2: Identify the given values. We have a torque (τ) of 3 N·m and a moment of inertia (I) of 6 kg·m².
  • Step 3: Recall the formula for angular acceleration. The formula is α = τ / I.
  • Step 4: Substitute the values into the formula. Replace τ with 3 N·m and I with 6 kg·m².
  • Step 5: Calculate the angular acceleration. Perform the division: α = 3 N·m / 6 kg·m².
  • Step 6: Simplify the calculation. 3 divided by 6 equals 0.5.
  • Step 7: Write the final answer. The angular acceleration (α) is 0.5 rad/s².
  • Torque and Angular Acceleration – The relationship between torque, moment of inertia, and angular acceleration is described by the equation α = Torque/I.
  • Moment of Inertia – Understanding the moment of inertia (I) is crucial as it affects the angular acceleration produced by a given torque.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely