12.43 ⚫ What gauge pressure is required in the city water mains for a stream from a fire hose connected to the mains to reach a vertical height of 15.0 m? (Assume that the mains have a much larger diameter than the fire hose.) P₁ + pgy₁ + 1/2 pv₁² = p₂+ pgy2 + 1/2 pv₂² Larger diameter means negligible speed V₂ = 0; P₂ = = atoms Y₁ = 0; y₂ = 15.0 m; v₁ = 0; v₂ = 0 Gauge pressure = ? Y2 1.47x105 Pa

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 5P
Question

I need help with this problem and an explanation of why its the answer described below:

(0.81 m^3 is the answer but I need an explanations as to why it's the answer.)

12.43 ⚫ What gauge pressure is required in the city water mains
for a stream from a fire hose connected to the mains to reach a
vertical height of 15.0 m? (Assume that the mains have a much
larger diameter than the fire hose.)
P₁ + pgy₁ + 1/2 pv₁² = p₂+ pgy2 + 1/2 pv₂²
Larger diameter means negligible speed
V₂ = 0; P₂ =
= atoms
Y₁ = 0; y₂ = 15.0 m; v₁ = 0; v₂ = 0
Gauge pressure = ?
Y2
1.47x105 Pa
Transcribed Image Text:12.43 ⚫ What gauge pressure is required in the city water mains for a stream from a fire hose connected to the mains to reach a vertical height of 15.0 m? (Assume that the mains have a much larger diameter than the fire hose.) P₁ + pgy₁ + 1/2 pv₁² = p₂+ pgy2 + 1/2 pv₂² Larger diameter means negligible speed V₂ = 0; P₂ = = atoms Y₁ = 0; y₂ = 15.0 m; v₁ = 0; v₂ = 0 Gauge pressure = ? Y2 1.47x105 Pa
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