Question

Water flows out from a large tank of cross-sectional area 𝑨𝒕 = 𝟏 m2 through a small rounded orifice of cross-sectional area 𝑨𝒐 = 𝟏 cmΒ² , located at π’š = 𝟎. Initially the water level, measured from π’š = 𝟎, is 𝑯 = 𝟏 m. The acceleration due to gravity is 9.8 m/sΒ² . Neglecting any losses, the time taken by water in the tank to reach a level of π’š = 𝑯/πŸ’ is _______________ seconds (round off to one decimal place).

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Answer :

Correct answer is : 4517.54

A = 1 m2, Ao = 1 cm2 = 10-4 m2, g = 9.8m/s2, Hi = 1 m, Hf = 0.25

Using equation (i)

t = βˆ’ A A o Γ— 1 2 g Γ— 2 Γ— [ H f βˆ’ H i ]

t = βˆ’ 1 10 βˆ’ 4 Γ— 1 2 Γ— 9.8 Γ— ( 1 βˆ’ 2 )

t = 2258.8 s

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