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# A tire is filled with air at 15°C to a gauge pressure of

ISBN: 9780130606204 3

## Solution for problem 38P Chapter 13

Physics: Principles with Applications | 6th Edition

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Problem 38P

Problem 38P

A tire is filled with air at 15°C to a gauge pressure of 220 kPa. If the tire reaches a temperature of 38°C, what fraction of the original air must be removed if the original pressure of 220 kPa is to be maintained?

Step-by-Step Solution:

Solution 38PIntroductionThis question can be solved using the Poiseuille’s equation.Step 1Given that,Length l = 4.0 cm 2l = 4.0 × 10 mRadius r = 1.0 mm 3r = 10 mTherefore, cross-section of the needle A = × r 2A = 3.14 × (10 3) m 2A = 3.14 × 10 6 m 2Given, velocity v = 10 m/sTherefore, volume flow rate of the water is Q = Av = 3.14 × 10 6 m × 10 m/s = 3.14 × 10 5 m /s

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