A woman is draining her fish tank by siphoning the water into an out- door drain as shown in Figure Pl4.42. h The rectangular tank has footprint area A and depth h. The drain is located a distance dbelow the surface of the water in the tank, where d >> h. The cross- sectional area of the siphon tube is A'. Model the water as flowing without d friction. Show that the time interval required to empty the tank is given by Ah At = A'V2gd Figure P14.42

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Chapter1: Units, Trigonometry. And Vectors
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A woman is draining her fish tank
by siphoning the water into an out-
door drain as shown in Figure Pl4.42.
h
The rectangular tank has footprint area
A and depth h. The drain is located a
distance dbelow the surface of the water
in the tank, where d >> h. The cross-
sectional area of the siphon tube is A'.
Model the water as flowing without
d
friction. Show that the time interval
required to empty the tank is given by
Ah
At =
A'V2gd
Figure P14.42
Transcribed Image Text:A woman is draining her fish tank by siphoning the water into an out- door drain as shown in Figure Pl4.42. h The rectangular tank has footprint area A and depth h. The drain is located a distance dbelow the surface of the water in the tank, where d >> h. The cross- sectional area of the siphon tube is A'. Model the water as flowing without d friction. Show that the time interval required to empty the tank is given by Ah At = A'V2gd Figure P14.42
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