A cyclist is riding a bicycle whose wheels have a diameter of 1.6 feet. Suppose the wheels turn at a rate of 280 revolutions per minute. (a)

Question

A cyclist is riding a bicycle whose wheels have a diameter of 1.6 feet. Suppose the wheels turn at a rate of 280 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute.

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Thu Hương 1 week 2021-07-21T13:21:44+00:00 1 Answers 0 views 0

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    2021-07-21T13:22:57+00:00

    Answer: a. 1759.52 radians/minutes

    b. 1407.62 feet/minutes

    Step-by-step explanation:

    Diameter = 1.6 feet

    Radius = Diameter/2= 1.6/2 = 0.8 feet

    N = 280 revolution

    a. Angular speed(w) = 2πN

    = 2π × 280

    = 560π

    = 560 × 3.142

    = 1759.52 radians/minutes

    Speed of cyclist = wr

    = 1759.52 × 0.8

    = 1407.62 feet/minutes

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