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A car is moving at the rate of 60 miles per hour, and the diameter of its wheels is 2.5 feet (1 mile=5280 feet)

a) Find the angular speed of the wheels in radians per minute
b) Find the number of revolutions per minute the wheels are rotating.

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2 answers
  1. I shouldve known better than to actually think i was gunna get help...

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  2. V = linear speed

    r = radius

    omega = angular velocity

    RPM = Revolutions per minute

    r = diameter / 2

    60 mph = 60 * 5280 ft

    V = r * omega

    60 * 5280 = ( 2.5 / 2 ) * omega

    316,800 = 1.25 omega Divide both sides ba 1,25

    316,800 / 1.25 = omega

    253,440 = omega

    omega = 253,440 radians / h Divide both sides by 60

    omega = 253,440/ 60

    omega = 4,224 radians / min

    1 rotation = 2 pi radians

    RPM = 4,224 / 2 pi

    RPM = 2112/ pi

    RPM = 2112 / 3.1416

    RPM = 672.2689 rotation / min

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