There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diameters shown in the figure. Velocity is assumed uniform across the circular pipes. (a) If the constant o is 1, determine the value of the constant 3 for which the water level h remains unchanged over time. (b) For a = and 3 = 3, compute the rate at which the water level changes, which is d. Express the answer as a function of U, d, and D. Indicate whether the tank is filling or emptying. D 5 ↓d ته ات 3 P BU QU

Elements Of Electromagnetics
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There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diameters
shown in the figure. Velocity is assumed uniform across the circular pipes.
(a) If the constant o is 1, determine the value of the constant 3 for which the water level h remains unchanged
over time.
(b) For a = and ß = 2, compute the rate at which the water level changes, which is d. Express the
answer as a function of U, d, and D. Indicate whether the tank is filling or emptying.
D
U
↓d
NIC
BU
QU
Transcribed Image Text:There is a cylindrical water tank (diameter D and depth h) with attached circular pipes having diameters shown in the figure. Velocity is assumed uniform across the circular pipes. (a) If the constant o is 1, determine the value of the constant 3 for which the water level h remains unchanged over time. (b) For a = and ß = 2, compute the rate at which the water level changes, which is d. Express the answer as a function of U, d, and D. Indicate whether the tank is filling or emptying. D U ↓d NIC BU QU
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