Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 10, Problem 43P
To determine

To Calculate: The net force on the roof.

Expert Solution & Answer
Check Mark

Answer to Problem 43P

  189.6N

Explanation of Solution

Given info:

The velocity of the flowing wind, v=35m/s

The area of the roof, A=240m2

Formula used:

Bernoulli’s equation:

  (P1+12ρv12+ρgh1)bottom=(P2+12ρv22+ρgh2)Top

Here, P1 is the pressure at the bottom of roof.

  v1 is the velocity of the wind at the bottom of roof.

  P2 is the pressure at the top of roof.

  v2 is the velocity of the wind at the top of roof.

  h1 is the height at the bottom.

  h2 is the height at the top.

Calculation:

Write the expression for the Bernoulli’s theorem.

  (P1+12ρv12+ρgh1)bottom=(P2+12ρv22+ρgh2)Top

Substitute the values in the above expression.

  P1+0+0=P2+12ρv22+0P1P2=12ρv22

Here, P2 is the atmospheric pressure.

Thus,

  P1Patm=12ρv22=12×1.29×(35)2=790.12N/m2

Write the expression showing relation between the pressure and force.

  P=FA

This net force will be:

  (P1Patm)=FAF=(P1Patm)A

Substitute the values in the above expression.

  F=790.12×240=189628N=189.6 kN

Conclusion:

The net force is 189.6N .

Chapter 10 Solutions

Physics: Principles with Applications

Ch. 10 - Prob. 11QCh. 10 - Prob. 12QCh. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 10 - Prob. 15QCh. 10 - Prob. 16QCh. 10 - Prob. 17QCh. 10 - Prob. 18QCh. 10 - Prob. 19QCh. 10 - Prob. 20QCh. 10 - Prob. 21QCh. 10 - Prob. 22QCh. 10 - Prob. 23QCh. 10 - Prob. 24QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50PCh. 10 - Prob. 51PCh. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63GPCh. 10 - Prob. 64GPCh. 10 - Prob. 65GPCh. 10 - Prob. 66GPCh. 10 - Prob. 67GPCh. 10 - Prob. 68GPCh. 10 - Prob. 69GPCh. 10 - Prob. 70GPCh. 10 - Prob. 71GPCh. 10 - Prob. 72GPCh. 10 - Prob. 73GPCh. 10 - Prob. 74GPCh. 10 - Prob. 75GPCh. 10 - Prob. 76GPCh. 10 - Prob. 77GPCh. 10 - Prob. 78GPCh. 10 - Prob. 79GPCh. 10 - Prob. 80GPCh. 10 - Prob. 81GPCh. 10 - Prob. 82GPCh. 10 - Prob. 83GPCh. 10 - Prob. 84GPCh. 10 - Prob. 85GPCh. 10 - Prob. 86GPCh. 10 - Prob. 87GPCh. 10 - Prob. 88GP
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