Draining a Tank 13. Suppose water is leaking from a tank through a circular hole of area Ah, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cA₂V/2gh, where c (0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.FR1: A Further Look: Limits
Problem 14E
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Draining a Tank
13. Suppose water is leaking from a tank through a circular hole of
area Ah, at its bottom. When water leaks through a hole, friction and
contraction of the stream near the hole reduce the volume of water
leaving the tank per second to cAhV2gh, 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 shown in
Figure 1.3.12. The radius of the hole is 2 in., and g = 32 ft/s².
1
h
circular
hole
jAw
10 ft
Transcribed Image Text:Draining a Tank 13. Suppose water is leaking from a tank through a circular hole of area Ah, at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cAhV2gh, 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 shown in Figure 1.3.12. The radius of the hole is 2 in., and g = 32 ft/s². 1 h circular hole jAw 10 ft
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