GATE 2020 CE (CE1) – Question 61
A 2 m diameter circular tank has a 0.1 m diameter bottom orifice with discharge coefficient 0.8. Inflow is steady at 20 L/s. Take g = 9.81 m/s² and neglect frictional losses. Find steady water depth (m), to two decimals.
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Correct answer: .5 to .54
Explanation
At steady state $Q=C_dA_o\sqrt{2gh}$. Thus $h=[0.020/(0.8\pi0.1^2/4)]^2/(2\cdot9.81)=0.5164$ m. Rounded, **0.52 m**.