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 cm² , located at 𝒚 = 𝟎. Initially the water level, measured from 𝒚 = 𝟎, is 𝑯 = 𝟏 m. The acceleration due to gravity is 9.8 m/s² . Neglecting any losses, the time taken by water in the tank to reach a level of 𝒚 = 𝑯/𝟒 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 = A A o × 1 2 g × 2 × [ H f H i ]

t = 1 10 4 × 1 2 × 9.8 × ( 1 2 )

t = 2258.8 s

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