Physics
Physics
5th Edition
ISBN: 9781260487008
Author: GIAMBATTISTA, Alan
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 9, Problem 109P
To determine

The velocity of water through main pipe.

Expert Solution & Answer
Check Mark

Answer to Problem 109P

The velocity of water is 0.116m/s.

Explanation of Solution

Depth pipe from the street level is 0.90m, gauge pressure is 52.0kPa, radius of main pipe is 5.00cm, radius of faucet is 1.20cm, height of faucet from the street is 4.20m.

Write the equation of continuity at the entrance point and the faucet.

(πr12)v1=(πr22)v2

Here, r1 is the radius of entrance hole, r2 is radius of faucet, v1 is the speed of water at the entrance hole, and v2 is the velocity of water at the faucet.

Rewrite the above relation in terms of v2.

v2=(r1r2)2v1 (I)

Write the equation for Bernoulli’s theorem at the entrance point and the faucet.

P1+ρgy1+12ρv12=Patm+ρgy2+12ρv22

Here,p1 is the pressure at the entrance hole, ρ is the density of water, y1 is depth to entrance hole from the street level, Patm is the atmospheric pressure, g is the acceleration due to gravity, and y2 is the height to faucet from the street level.

Rewrite the above relation in terms of v12.

v12=2(PatmP1)ρ+2g(y2y1)+((r1r2)2v1)2((r1r2)2v1)2v12=2(P1Patm)ρ2g(y2y1)v1=2(P1Patm)ρ2g(y2y1)(r1r2)41

Conclusion:

Substitute 52.0kPa for (P1Patm), 1.00×103kg/m3 for ρ, 9.8m/s2 for g, 4.20m for y2, 0.90m for y1, 5.00cm for r1, and 1.20cm for r2 in the above equation to find v1.

v1=(2(52.0kPa(103Pa1Pa))1.00×103kg/m3)(2(9.8m/s2)(4.20m0.90m))(5.00cm1.20cm)21=0.220m2/s216.36=0.116m/s

Therefore, the velocity of water is 0.116m/s.

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Chapter 9 Solutions

Physics

Ch. 9.6 - Prob. 9.7PPCh. 9.6 - Prob. 9.8PPCh. 9.7 - Prob. 9.7CPCh. 9.7 - Prob. 9.9PPCh. 9.8 - Prob. 9.8CPCh. 9.8 - Prob. 9.10PPCh. 9.8 - Prob. 9.11PPCh. 9.9 - Prob. 9.12PPCh. 9.10 - Prob. 9.10CPCh. 9.10 - Prob. 9.13PPCh. 9.11 - Prob. 9.14PPCh. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQCh. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - 16. What are the advantages of using hydraulic...Ch. 9 - 17. In any hydraulic system, it is important to...Ch. 9 - Prob. 18CQCh. 9 - Prob. 19CQCh. 9 - Prob. 20CQCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - 7. A nurse applies a force of 4.40 N to the piston...Ch. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 18PCh. 9 - Prob. 17PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - 23. A manometer using oil (density 0.90 g/cm3 ) as...Ch. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 29PCh. 9 - Prob. 28PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 40PCh. 9 - Prob. 39PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - (a) What is the pressure difference required to...Ch. 9 - Prob. 69PCh. 9 - Prob. 68PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - Prob. 77PCh. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 93PCh. 9 - Prob. 94PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Prob. 97PCh. 9 - Prob. 98PCh. 9 - Prob. 99PCh. 9 - Prob. 100PCh. 9 - Prob. 101PCh. 9 - Prob. 102PCh. 9 - Prob. 103PCh. 9 - Prob. 105PCh. 9 - Prob. 104PCh. 9 - Prob. 106PCh. 9 - Prob. 107PCh. 9 - Prob. 109PCh. 9 - Prob. 108PCh. 9 - Prob. 110PCh. 9 - Prob. 111PCh. 9 - Prob. 112PCh. 9 - Prob. 113PCh. 9 - Prob. 114PCh. 9 - Prob. 116PCh. 9 - Prob. 115PCh. 9 - A section of pipe with an internal diameter of...
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