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15 October, 16:29

If the wheels of a train make 16 revolutions when it rolls a distance of 60 feet, what is the radius of the wheel?

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  1. 15 October, 17:15
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    16 revolutions = 60 feet

    (16/16) revolutions = (60/16) feet

    1 revolution = 3.75 feet

    This means that when the train wheel rotates a full 360 degrees, the train has moved 3.75 feet. Put another way, the circumference around the train wheel is 3.75 feet.

    C = 3.75

    We'll use this C value to find the radius r

    C = 2*pi*r

    3.75 = 2*pi*r

    r = 3.75 / (2*pi)

    r = 0.5968 (this is approximate rounded to 4 decimal places)

    Therefore the radius of the wheel is approximately 0.5968 feet
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