The road roller is turning at the rate of [tex]18.3rev/minute[/tex]
To get our answer, first note that
[tex]speed=\dfrac{distance}{time}[/tex]
since the distance travelled by the road roller can be gotten by
[tex]distance= circumference\times revolutions[/tex]
our speed formula can be expressed as
[tex]speed=\dfrac{circumference\times revolutions}{time}[/tex]
making the number of revolutions the subject of the formula, we get
[tex]revolutions=\dfrac{speed \times time}{circumference}[/tex]
carrying out the following substitutions
[tex]speed=3miles/hour=\frac{3\times63360}{60}inches/minute=3168inches/minute\\time=1minute\\circumference=2\times3.14\times\frac{55}{2}=172.7inches[/tex]
we can now calculate the number of revolutions
[tex]revolutions=\dfrac{speed\times time}{circumference}\\\\=\dfrac{3168\times 1}{172.7}\approx18.3rev/minute\text{ (to the nearest tenth)}\\\\[/tex]
Learn more about circumference of circles here https://brainly.com/question/5688156
