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5 January, 13:36

A pick-up truck is fitted with new tires which have a diameter of 42 inches. How fast will the pick-up truck be moving when the wheels are rotating at 280 revolutions per minute? Express the answer in miles per hour rounded to the nearest whole number.

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  1. 5 January, 17:08
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    280 revolutions per minute is:

    280/60 = 4,66667 revolutions per second.

    now we need to calculate perimeter of the tire

    O = D*pi = 42*3,1415 = 131.943 inches

    Speed of truck is:

    V = 4,66667 * 131.943 = 615.73 inches per second.

    Now we need to express this in miles per hour.

    615,73 * 1,5782*10^ (-5) * 3600

    V = 34.984 miles per hour.

    after rounding we get

    V = 35 miles per hour.
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