EXAMPLE Leaking Tank. Outflow of Water Through a Hole (Torricelli's Law) This is another prototype engineering problem that leads to an ODE. It concerns the outflow of water from a cylindrical tank with a hole at the bottom. You are asked to find the height of the water in the tank at any time if the tank has diameter 2 m, the hole has diameter 1 cm, and the initial height of the water when the hole is opened is 2.25 m. When will the tank be empty?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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EXAMPLE Leaking Tank. Outflow of Water Through a Hole (Torricelli's Law)
This is another prototype engineering problem that leads to an ODE. It concerns the outflow of water from a
cylindrical tank with a hole at the bottom. You are asked to find the height of the water in the tank at any time
if the tank has diameter 2 m, the hole has diameter 1 cm, and the initial height of the water when the hole is
opened is 2.25 m. When will the tank be empty?
2.20 M
Water level
asime
Outiine
walls
200
200
30t
.00-
50-
D
10000
30000
tebe Revelion
50000
Transcribed Image Text:EXAMPLE Leaking Tank. Outflow of Water Through a Hole (Torricelli's Law) This is another prototype engineering problem that leads to an ODE. It concerns the outflow of water from a cylindrical tank with a hole at the bottom. You are asked to find the height of the water in the tank at any time if the tank has diameter 2 m, the hole has diameter 1 cm, and the initial height of the water when the hole is opened is 2.25 m. When will the tank be empty? 2.20 M Water level asime Outiine walls 200 200 30t .00- 50- D 10000 30000 tebe Revelion 50000
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