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givi [52]
2 years ago
12

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

?
Mathematics
1 answer:
leva [86]2 years ago
7 0

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

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