A tire on a car has an outside diameter of 36.30 in. Through what angle (in radians) does the tire turn while traveling 1 mile

Question

2 years ago

12

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1 answer:

leva [86] · Answer 1 · 2023-03-25T08:16:32+03:00

Answer: 3491.91 radians

Step-by-step explanation:

The total distance in inches traveled by car = 63,360 inches (1 mile)

Total Revolution made by tire through traveling =

$=\frac{63360}{\pi *36.30}$

We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)

In $\frac{63360}{\pi *36.30}$ ,

the revolution angle made by the tire =

$=2\pi * \frac{63360}{\pi 36.60}$

$=2 * \frac{63360}{ 36.60}$

$= 3491.91$ radian

A tire on a car has an outside diameter of 36.30 in. Through what angle​ (in radians) does the tire turn while traveling 1 ​mile