Explanation Given info: The water level in the fire extinguisher is 0.500 m below the nozzle. The gauge pressure is the difference between the inside and outside pressure. P g = P i − P o P i is the inside pressure P o is the outside pressure According to Bernoulli’s equation for a streamline the sum of the pressure the kinetic energy and potential energy per unit volume is constant. Applying Bernoulli’s equation to inside and outside of the fire extinguishers, P o + 1 2 ρ v o 2 + ρ g y o = P i + 1 2 ρ v i 2 + ρ g y i ρ is the density of the water v o is the velocity of the water outside v i is the velocity of water inside y i is water level inside y o water level outside g is free fall acceleration Re-write the above equation to get an expression for the gauge pressure, P i − P o = 1 2 ρ v o 2 + ρ g y o − 1 2 ρ v i 2 − ρ g y i P g = ρ ( 1 2 ( v o 2 − v i 2 )

10th Edition

ISBN: 9781285737027

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Question

Chapter 9, Problem 70P

To determine

The gauge pressure required for the water to have a jet speed of 30.0 m⋅s-1 .

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Chapter 9 Solutions

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The gauge pressure required for the water to have a jet speed of 30.0 m ⋅ s -1 .

Solution Summary: The author explains that the gauge pressure is the difference between the inside and outside pressure.

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The gauge pressure required for the water to have a jet speed of 30.0 m⋅s-1 .

Chapter 9 Solutions