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What is the angular velocity of a wheel rotating at 300 revolutions per minute?
What is the angular velocity of a wheel rotating at 300 revolutions per minute?
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Practice Questions
1 question
Q1
What is the angular velocity of a wheel rotating at 300 revolutions per minute?
10π rad/s
20π rad/s
30π rad/s
40π rad/s
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Angular velocity (ω) = 2π * (300/60) = 10π rad/s.
Questions & Step-by-step Solutions
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Q
Q: What is the angular velocity of a wheel rotating at 300 revolutions per minute?
Solution:
Angular velocity (ω) = 2π * (300/60) = 10π rad/s.
Steps: 5
Show Steps
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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