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Jack's bicycle tires have a diameter of 24 inches. If he rides at 15 miles per hour, what is the angular velocity of the

wheels in revolutions per minute (rpm)?

1 Answer

4 votes

Answer:

w=105rpm

Explanation:

The link between The lineal movement and and angular movement is V=w*r

w has units in rad/s, r is the radio of the rotating/moving element .

15 miles per hour= 15*63360 in/h= 950400 in/h= 15840 in/min

with the above relation we can use the link we were talking in the first paragraph.

15840 in/min=w*24in.

w=660 rad/min

w= 660 /(2 pi) rpm= 105rpm

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