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25 April, 08:29

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) ?

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  1. 25 April, 08:33
    0
    w=105rpm

    Step-by-step 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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