The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles. Determine the angle (in radians) through which one of these tires will rotate during the warranty period.

William Collins
2021-12-19
Answered

The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles. Determine the angle (in radians) through which one of these tires will rotate during the warranty period.

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psor32

Answered 2021-12-20
Author has **33** answers

Here given that the diameter of the tire is

$d=2.0\text{}ft=0.3048\times 2.0\text{}m=0.61\text{}m$

Therefore the radius of the tire

$r=\frac{d}{2}=0.305\text{}m$

Warranty of the tire

$l=60000\text{}mi=1609.34\times 60000\text{}m=96560400\text{}m$

a) As we know the angle in radian traversed by an object moving in a circle of radius r is given by

$\theta =\frac{l}{r}\text{}rad$

$=\frac{96560400\text{}m}{0.305\text{}m}rad$

$=316591475.4\text{}rad$

$=3.2\times {10}^{8}\text{}rad$

Therefore the radius of the tire

Warranty of the tire

a) As we know the angle in radian traversed by an object moving in a circle of radius r is given by

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