Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per minute. Use p = 3.14.

Question

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Answer 1

The size of the wheel in not important. One revolutions is 2pi radians. So the speed in radians per minute is

 

2 π * 200 or 6.28*200 = 1256 radians per minute

Answer 2

The 26 inches = 0.66 meter is the wheel's diameter; therefore, the radius is 0.33 meter.
The rotating speed is 200 rev/min = (200 * 2 * pi/60) rad/sec = (20 * pi/3) rad/sec.

                                                  = 1256.64 rad/min