Question

A street that is 165 m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.7 m in diameter. How many times does a tire have to turn in traveling the length of the street? Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

namely, how many go-around or revolutions does a tire have to make for those 165 meters.

$\bf \textit{circuference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=1.7 \end{cases}\implies C=1.7\pi \impliedby \textit{one revolution} \\\\\\ \textit{how many times does }1.7\pi \textit{ go into 165?}\qquad \stackrel{\pi =3.14}{\cfrac{165}{1.7\pi }\qquad \implies \qquad 30.9}$