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Math Help - Radian Question

  1. #1
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    Radian Question

    Hi,
    I have a question from a workbook I have, it asks:

    A belt connects a pulley of 7-cm radius with a pulley of 12-cm radius. If the larger pulley turns through 5 radians, through how many radians will the smaller pulley turn?

    I have no idea on how to solve it.

    Thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by spycrab View Post
    Hi,
    I have a question from a workbook I have, it asks:

    A belt connects a pulley of 7-cm radius with a pulley of 12-cm radius. If the larger pulley turns through 5 radians, through how many radians will the smaller pulley turn?

    I have no idea on how to solve it.

    Thanks
    Hint: use the arc length formula.

    Find the length of the belt moved by the large pulley--this will be the length moved by the smaller one. You can find the radians from that.
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  3. #3
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    so would it be 5*12=60 / 7 which is around 8.57 rad?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by spycrab View Post
    so would it be 5*12=60 / 7 which is around 8.57 rad?
    yup!
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