Chapter 9, Problem 6P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The four tires of an automobile are inflated to a gauge pressure of 2.0 × 105 Pa. Each tire has an area of 0.024 m2 in contact with the ground. Determine the weight of the automobile.

To determine
The weight of the automobile.

Explanation
The weight W of the automobile is shared by its four tires by W/4 and the gauge pressure in each tire would be P=F/A=(W/4)/A . Now this expression is rearranged for weight of the automobile.

Given info: The area of the tire that in contact with the ground is 0.024â€‰m2 and the gauge pressure is 2.0Ã—105â€‰Pa .

The formula for the mass of the automobile is,

W=4AP

• A is the area of the tire that in contact with the ground.
• P is gauge pressure.

Substitute 0.024â€‰m2 for A and 2

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