alleryStart learning →A wheel spins at 250 rpm. What is this angular velocity in radians per second?
A15.7 rad/s
B26.2 rad/s
C250 rad/s
D4.17 rad/s
Answer & Solution
Correct answer: B. 26.2 rad/s
1. One revolution is 2 pi radians and one minute is 60 seconds.
2. So omega = 250 rev/min times 2 pi rad/rev times 1 min / 60 s.
3. That is 250 times 6.283 / 60 = 1570.8 / 60.
4. Hence omega = 26.2 rad/s.
5. The value 4.17 rad/s comes from dividing by 60 only, leaving revolutions instead of radians.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.1 Angular Acceleration_
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