Consider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m 2 . The tank has an opening B near the bottom whose cross-section area is 1 cm 2 . A load of 24 kg is applied on

Question

Consider a water tank as shown in the figure. It's cross-sectional area is $0.4 m^{2}$ . The tank has an opening $B$ near the bottom whose cross-section area is $1 {cm}^{2}$ . A load of $24 kg$ is applied on the water at the top when the height of the water level is $40 cm$ above the bottom, the velocity of water coming out the opening $B$ is $v m s^{- 1}$ . The value of $v$ , to the nearest integer, is ___ .[Take the value of $g$ to be $10 {m s}^{- 2}$ ]

TestHub · Accepted Answer

m = 24 kg A = 0 . 4 m 2 a = 1 cm 2 H = 40 cm Using Bernoulli's equation, ⇒ P 0 + m g A + ρ g H + 1 2 P v 1 2 = P 0 + 0 + 1 2 ρ v 2 . . . 1 ⇒ Neglecting v 1 ⇒ v = 2 g H + 2 m g A ρ ⇒ v = 8 + 1 . 2 ⇒ v = 3 . 033 m s - 1 ⇒ v ≃ 3 m s - 1

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