( 25 rev/minute) x ( 2 pi radian/rev) x ( minute / **60 **sec) = 2.618 rad/sec (rounded)
1 revolution= 2π radians= 6,28 radian 1 minute= 60 s 25 rev=50π=157 radian
1 25 ∗ 60 6 , 28 = 2 , 62 s r a d
The angular velocity of a wheel turning at 25 revolutions per minute is approximately 6 5 π radians/second , which is about 2.618 radians/second. This conversion is done by first translating revolutions into radians and then adjusting for the time unit conversion from minutes to seconds. Understanding this relationship between revolutions and radians is key in physics when dealing with rotational motion.
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