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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 redu the volume of the water leaving the tank per second to CALV 2gh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height h of water at tim t for the cubical tank in the figure below. The radius of the hole is 9 in., g = 32 ft/s².

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 redu the volume of the water leaving the tank per second to CALV 2gh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height h of water at tim t for the cubical tank in the figure below. The radius of the hole is 9 in., g = 32 ft/s².

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 reduc the volume of the water leaving the tank per second to CAV2gh, where c (0 < c < 1) is an empirical constant. Determine 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 9 in., g = 32 ft/s². Aw T 10 ft
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 reduc the volume of the water leaving the tank per second to CAV2gh, where c (0 < c < 1) is an empirical constant. Determine 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 9 in., g = 32 ft/s². Aw T 10 ft
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