   Chapter 7, Problem 3P

Chapter
Section
Textbook Problem

The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a) Determine the angle (in radians) through (which one of these tires will rotate during the warranty period, (b) How many revolutions of the tire are equivalent to your answer in part (a)?

(a)

To determine
The angle through which one of the tires rotates during its warranty.

Explanation

Given info: The diameter of the tire is 2.0ft , the warranty of the tire is 60000miles and the radius of the tire is 1.0ft .

Explanation:

The formula for the radius of the tire is,

r=d2

• r is the radius of the wire.
• d is the diameter of the tire.

Substitute 2.0ft for d to find r .

r=2.0ft2=1.0ft

Thus, the radius of the tire is 1.0ft .

The formula for the angle through which one of these tires rotates during its warranted miles is,

θ=sr

• s is the arc length or warranted miles.
• r is the radius of the tire

(b)

To determine
The number of revolutions of the tire.

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