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Question
A rectangular water-tank measuring 80 cm x 60 cm is filled form a pipe of cross-sectional area 1.5 cm2, the water emerging at 3.2 m/s. How long does it take to fill the tank?
Solution
Vol. of the rectangular tank = 80 x 60 x 60 cm3 = 288000 cm3
One liter = 1000 cm3
Vol. of water flowing in per sec =
`1.5"cm"^2 xx 3.2"m"/s = 1.5"cm"^2 xx ((3.2 xx 100)"cm")/"s"`
= `480 "cm"^3/"s"`
Vol. of water flowing in 1 min= 480 x 60 = 28800cm3
Hence,
28800 cm3 can be filled = 1 min
288000cm3 can be filled =`( 1/28800 xx 288000) min=10min`
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