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PRE-CALC help please

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A pedal socket has a radius of 4 in and the wheel socket has a radius of 2 in. The wheel has a radius of 13 in. The cyclist pedals at 30rpm

Find the angular speed of the socket.

Find the speed of the bicycle- (assuming the weel turns the same as the wheel socket)

  • PRE-CALC help please - ,

    first, I believe you mean "sprocket"

    The rear sprocket turns twice as fast as the front.

    So, the wheel turns at 60 rpm.
    The circumference of the wheel is 26π, so the speed of the bike is

    26π*60 in/min

    you can convert that to mph as desired.

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