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Suppose water is leaking from a tank through a circular hole of area A,, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to CAV2gh, where c (0 < c < 1) is an empirical constant. Determi a differential equation for the height h of water at time t for the cubical tank in the figure below. The radius of the hole is 4 in., g = 32 ft/s². dh dt = -C 144 circular hole πνη 900 Aw ft/s T 10 ft A

Suppose water is leaking from a tank through a circular hole of area A,, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to CAV2gh, where c (0 < c < 1) is an empirical constant. Determi a differential equation for the height h of water at time t for the cubical tank in the figure below. The radius of the hole is 4 in., g = 32 ft/s². dh dt = -C 144 circular hole πνη 900 Aw ft/s T 10 ft A

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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Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to cA√2gh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the heighth of water at time t for the cubical tank in the figure below. The radius of the hole is 4 in., g = 32 ft/s². dh dt = -C circular hole πνη 900 Aw X ft/s T 10 ft i ہے
Transcribed Image Text:Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to cA√2gh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the heighth of water at time t for the cubical tank in the figure below. The radius of the hole is 4 in., g = 32 ft/s². dh dt = -C circular hole πνη 900 Aw X ft/s T 10 ft i ہے
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