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What is the angular velocity of a wheel rotating at 300 revolutions per minute?

Practice Questions

Q1
What is the angular velocity of a wheel rotating at 300 revolutions per minute?
  1. 10π rad/s
  2. 20π rad/s
  3. 30π rad/s
  4. 40π rad/s

Questions & Step-by-Step Solutions

What is the angular velocity of a wheel rotating at 300 revolutions per minute?
  • Step 1: Understand that angular velocity (ω) is measured in radians per second (rad/s).
  • Step 2: Know that 1 revolution is equal to 2π radians.
  • Step 3: Convert revolutions per minute (rpm) to revolutions per second (rps) by dividing by 60. So, 300 rpm becomes 300/60 = 5 rps.
  • Step 4: Multiply the number of revolutions per second (5 rps) by 2π to find the angular velocity. So, ω = 2π * 5.
  • Step 5: Calculate the result: 2π * 5 = 10π rad/s.
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