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4 October, 04:00

A bicyclist races on a bicyclist with 13-inch-radius wheels. When she is traveling at a speed of 37 ft/sec, how many revolutions per minute are her wheels making?

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  1. 4 October, 04:20
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    Radius of a wheel = 13 inch

    = 1.08333 ft

    circumference of a wheel = 2*pi*r^2

    = 2 * (22/7) * 1.08333^2 ft

    = 2 * (22/7) * 1.1736 ft

    = (44/7) * 1.1736 ft

    = 51.6384/7 ft

    = 7.3769142857 ft

    distance covered in one minute = 37 * 60 ft/min

    = 2220 ft/min

    now, revolution per minute = 2220 / 7.3769142857

    = 300.93884

    therefore her wheels are making 300.93884 revolutions per minute
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