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The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL == 3 r² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?

The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL == 3 r² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?

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
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The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL = 3 p² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?
Transcribed Image Text:The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL = 3 p² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?
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