Question

A street that is 172 m long is coverd by snow . City workers are useing a snowplow to cleer the street . A tire on the snowplow has turn 43 tines on traveling the lenght .What is the diamater of the tire ?

Answer 1

Answer:

The diameter of the tire is 1.274 m

Explanation:

Given;

total length of the street, L = 172 m

let the radius of the tire = r

let the diameter of the tire, d = 2r

In every single turn, a tire covers a distance, D = 2πr

for the total 43 times, the distance covered, D = L = 43 x 2πr

L = 43 x 2πr

172 = 86πr

$r = \frac{172}{86 \pi} \\\\r = 0.637 \ m$

d = 2r = 2 x 0.637

d = 1.274 m

Therefore, the diameter of the tire is 1.274 m