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The wheels of a car have radius 11 in. and are rotating at 800 rpm. Find the speed of the car in mi/h.

  • trigonometry -

    circumference of wheel
    = distance covered in 1 rotation
    = 2π(11) = 22π inches

    distance covered in 800 rotations
    = 800(22π) = 17600π inches
    = 17600π/12 ft
    = 17600π/(12(5280)) miles
    = .87266.. miles per minute
    = 52.36 miles/hr

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