Aconvertible 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

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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the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b