GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

Question : 58 of 65

Marks: +1, -0

A circular water tank of

2 {m}

diameter has a circular orifice of diameter

0.1 {m}

at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is

0.8

. Consider the acceleration due to gravity as

9.81 {m} / {s}^{2}

and neglect frictional losses. The height of the water level (in

{m}

, round off to two decimal places) in the tank at the steady state, is

Your Answer:

Validate

Solution:

Assuming, H is the level of water in the circular tank

Discharge through orifice

=

water enters in the tank

C_d. a √{2 {gH}}=20 × 10^{-3}

⇒ 0.8 × \;{π}/{4}(0.1)^{2} × √{2 × 9.81 × H}=20 × 10^{-3}

⇒ {H}=0.5164 {m}

Go to Question:

Prev Question

Next Question