Fire hoses used in major structure fires have inside diameters of 6.4 cm. Suppose such a hose carries a flow of 40 L/s starting at a gauge pressure of 1.62 × 10ºN/m². The hose goes 10 m up a ladder to a nozzle having an inside diameter of 3 cm. Assume negligible resistance, density of water is 1000 kg/m³, and atmospheric pressure = 1.013×105 Pa. Using the flow rate (a) Calculate the velocity at the start of the hose. V = m/s start (b) Calculate the velocity at the nozzle. V nozzle m/s (c) Calculate the gauge pressure at the nozzle, P₁ |P nozzlel enter the calculated value. If P atm |P nozzle If nozzle <3%, then enter P, = 0, else nozzle atm <3%, then we are going to assume that the absolute pressure at the nozzle is approximately equal to the atmospheric pressure, making the gauge pressure almost zero when compared to the atmospheric pressure. Pa nozzle

University Physics Volume 1
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 102P: A fire hose has an inside diameter of 6.40 cm. Suppose such a hose caries a flow of 40.0 L/s...
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Fire hoses used in major structure fires have inside diameters of 6.4 cm. Suppose such a hose carries
a flow of 40 L/s starting at a gauge pressure of 1.62 × 10ºN/m². The hose goes 10 m up a ladder to a
nozzle having an inside diameter of 3 cm. Assume negligible resistance, density of water is 1000
kg/m³, and atmospheric pressure = 1.013×105 Pa.
Using the flow rate
(a) Calculate the velocity at the start of the hose.
V
=
m/s
start
(b) Calculate the velocity at the nozzle.
V nozzle
m/s
(c) Calculate the gauge pressure at the nozzle, P₁
|P nozzlel
enter the calculated value. If
P
atm
|P nozzle
If
nozzle
<3%, then enter P, = 0, else
nozzle
atm
<3%, then we are going to assume that the absolute pressure
at the nozzle is approximately equal to the atmospheric pressure, making the gauge pressure almost
zero when compared to the atmospheric pressure.
Pa
nozzle
Transcribed Image Text:Fire hoses used in major structure fires have inside diameters of 6.4 cm. Suppose such a hose carries a flow of 40 L/s starting at a gauge pressure of 1.62 × 10ºN/m². The hose goes 10 m up a ladder to a nozzle having an inside diameter of 3 cm. Assume negligible resistance, density of water is 1000 kg/m³, and atmospheric pressure = 1.013×105 Pa. Using the flow rate (a) Calculate the velocity at the start of the hose. V = m/s start (b) Calculate the velocity at the nozzle. V nozzle m/s (c) Calculate the gauge pressure at the nozzle, P₁ |P nozzlel enter the calculated value. If P atm |P nozzle If nozzle <3%, then enter P, = 0, else nozzle atm <3%, then we are going to assume that the absolute pressure at the nozzle is approximately equal to the atmospheric pressure, making the gauge pressure almost zero when compared to the atmospheric pressure. Pa nozzle
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