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17 February, 10:22

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do

the wheels make in one minute?

rev/min

+1
Answers (1)
  1. 17 February, 10:46
    0
    w=15.7 rpm

    Step-by-step explanation:

    Lets remember the link between angular movement and linear movement.

    w*R=S

    Where S=Speed (Linear movement), w = Angular movement, R is the radio of the rotating object.

    To make sense of what we are going to do, lets start by using the same system units, Ill go for inches.

    S = 45 miles/h = 45*6330 in/h=284850 in/h.

    Now lets use minutes instead of h for S.

    S=284850 in/h = 284850 in/60 min=4747.5 in/min

    It the diameter of the wheels is 48 in, then, the angular speed is:

    4747.5 in/min = w * 48 IN.

    Hence. w=98.9 rad/min.

    To obtain the same value in rpm (revolutions per minutes) lets divide the above by 2pi

    w=15.7 rpm
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