The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m3 water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:

Engineering

Physics

BernoulIis Equation and Equation of Continuity

Question

The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m³ water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:

9.6 m

6.0 m

2.9 m

4.8 m

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$\frac{dV}{dt} = Aν \Rightarrow \frac{dV}{dt} = A \sqrt{2 gh}$

$\Rightarrow \frac{0 .74}{60} = (3 .14) {(\frac{2}{100})}^{2} \sqrt{2 (9 .8) h}$

⇒ h = 4.92 m