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Module 2. Physics

What is the angular velocity of a shaft rotating at 300rpm in radians/second?

  • 10pi radians/second.
  • 2pi radians/second.
  • 5pi radians/second.

Explanation

Angular velocity in rad/s is found from rpm by multiplying by 2pi and dividing by 60: omega = 300 x 2pi / 60 = 10pi rad/s. The 5pi answer forgets the factor of two, and 2pi would correspond to just 60 rpm.

romeshkunder asking:

pls explain

Community Comments (2)

T
trap2307 Posts: 43 14.09.2013 / 16:45
300*2/60=10
300r/1m=600pi/60sec
1r=2pi
1m=60sec
D
dimky Posts: 514 14.09.2013 / 20:50
1 revolution per minute = 2Ï€ radians per minute
300 revolutions per minute = 5 revolutions per second
So 5 revolutions = 5 * 2Ï€ radians = 10Ï€ radians.

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