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You have a container like the one shown in figure 1 from which you want to extract liquid with the help of a siphon (inverted U-shaped tube). The siphon must initially be full, but once this is done the liquid will flow until its level drops below opening A. The liquid has a density p, and a negligible viscosity. Assume that the area of the container is very large compared to the area of the tube and that both the tube at C and the container at D are open to the atmosphere. a) Using Bernoulli's equation and comparing points "D" and "C", determine the rate at which the liquid is flowing at C. b) What is the gauge pressure of the liquid at the highest point (B)? c) What maximum height H can the highest point (B) of the tube have without ceasing to have flow? d) If the liquid of density p is changed to one with density p2 where p

You have a container like the one shown in figure 1 from which you want to extract liquid with the help of a siphon (inverted U-shaped tube). The siphon must initially be full, but once this is done the liquid will flow until its level drops below opening A. The liquid has a density p, and a negligible viscosity. Assume that the area of the container is very large compared to the area of the tube and that both the tube at C and the container at D are open to the atmosphere. a) Using Bernoulli's equation and comparing points "D" and "C", determine the rate at which the liquid is flowing at C. b) What is the gauge pressure of the liquid at the highest point (B)? c) What maximum height H can the highest point (B) of the tube have without ceasing to have flow? d) If the liquid of density p is changed to one with density p2 where p

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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You have a container like the one shown in figure 1 from which you want to extract liquid with the help of a siphon (inverted U-shaped tube). The siphon must initially be full, but once this is done the liquid will flow until its level drops below opening A. The liquid has a density p, and a negligible viscosity. Assume that the area of the container is very large compared to the area of the tube and that both the tube at C and the container at D are open to the atmosphere. a) Using Bernoulli's equation and comparing points "D" and "C", determine the rate at which the liquid is flowing at C. b) What is the gauge pressure of the liquid at the highest point (B)? c) What maximum height H can the highest point (B) of the tube have without ceasing to have flow? If the liquid of density p is changed one with density p2 where p<p2, will there be any change in the velocity at C? If there is any change, write down with which liquid the highest speed is obtained in C, otherwise justify. D B C Patm H d h
Transcribed Image Text:You have a container like the one shown in figure 1 from which you want to extract liquid with the help of a siphon (inverted U-shaped tube). The siphon must initially be full, but once this is done the liquid will flow until its level drops below opening A. The liquid has a density p, and a negligible viscosity. Assume that the area of the container is very large compared to the area of the tube and that both the tube at C and the container at D are open to the atmosphere. a) Using Bernoulli's equation and comparing points "D" and "C", determine the rate at which the liquid is flowing at C. b) What is the gauge pressure of the liquid at the highest point (B)? c) What maximum height H can the highest point (B) of the tube have without ceasing to have flow? If the liquid of density p is changed one with density p2 where p<p2, will there be any change in the velocity at C? If there is any change, write down with which liquid the highest speed is obtained in C, otherwise justify. D B C Patm H d h
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