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Esther needs to get some gasoline out of a giant tank in the year 2020. She decides to use a siphon. Gasoline has density p and negligible viscosity. Assume that the container is very large and open to the atmosphere. In this particular cylindrical siphon, the tube has radius r on the way up and across the top, and a radius of 2r on the part hanging down, as shown in the picture below. The tube rises to a distance di above the fluid level in the tank and ends up dz below the fluid level. Note that the siphon tube is open at both ends. B di A d2 c. (a) Given that the volume flow rate Q is constant everywhere along the tube, write an equation for the relationship between va and vg. (b) Given that the volume flow rate Q is constand everywhere along the tube, write an equation for the relationship between VA and vc. (c) What is the speed of the fluid as it exits the tube at point C? Your answer could involve p, d2, the atmospheric pressure Patm; and any relevant physical constants.

Esther needs to get some gasoline out of a giant tank in the year 2020. She decides to use a siphon. Gasoline has density p and negligible viscosity. Assume that the container is very large and open to the atmosphere. In this particular cylindrical siphon, the tube has radius r on the way up and across the top, and a radius of 2r on the part hanging down, as shown in the picture below. The tube rises to a distance di above the fluid level in the tank and ends up dz below the fluid level. Note that the siphon tube is open at both ends. B di A d2 c. (a) Given that the volume flow rate Q is constant everywhere along the tube, write an equation for the relationship between va and vg. (b) Given that the volume flow rate Q is constand everywhere along the tube, write an equation for the relationship between VA and vc. (c) What is the speed of the fluid as it exits the tube at point C? Your answer could involve p, d2, the atmospheric pressure Patm; and any relevant physical constants.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Esther needs to get some gasoline out of a giant tank in the year 2020. She decides to use a siphon. Gasoline has density p and negligible viscosity. Assume that the container is very large and open to the atmosphere. In this particular cylindrical siphon, the tube has radius r on the way up and across the top, and a radius of 2r on the part hanging down, as shown in the picture below. The tube rises to a distance di above the fluid level in the tank and ends up dz below the fluid level. Note that the siphon tube is open at both ends. B di A d2 c. (a) Given that the volume flow rate Q is constant everywhere along the tube, write an equation for the relationship between va and vg. (b) Given that the volume flow rate Q is constand everywhere along the tube, write an equation for the relationship between VA and vc. (c) What is the speed of the fluid as it exits the tube at point C? Your answer could involve p, d2, the atmospheric pressure Patm; and any relevant physical constants.
Transcribed Image Text:Esther needs to get some gasoline out of a giant tank in the year 2020. She decides to use a siphon. Gasoline has density p and negligible viscosity. Assume that the container is very large and open to the atmosphere. In this particular cylindrical siphon, the tube has radius r on the way up and across the top, and a radius of 2r on the part hanging down, as shown in the picture below. The tube rises to a distance di above the fluid level in the tank and ends up dz below the fluid level. Note that the siphon tube is open at both ends. B di A d2 c. (a) Given that the volume flow rate Q is constant everywhere along the tube, write an equation for the relationship between va and vg. (b) Given that the volume flow rate Q is constand everywhere along the tube, write an equation for the relationship between VA and vc. (c) What is the speed of the fluid as it exits the tube at point C? Your answer could involve p, d2, the atmospheric pressure Patm; and any relevant physical constants.
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