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The top of a water tank is open to air a...

The top of a water tank is open to air and its water lavel is maintained. It is giving out `0.74 m^(3)` 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 :

Text Solution

Verified by Experts

Here volume tric flow rate
`=0.74/60=pir^(2)v=(pixx40xx10^(-4))xxsqrt(2gh)`
`impliessqrt(2gh)=(74xx100)/(240pi)impliessqrt(2gh)=740/(24pi)`
`implies2gh=(740xx740)/(24xx24xx10)( :. pi^(2)=10)`
`impliesh=(74xx74)/(2xx24xx24)~~4.8m`
i.e. The depth of the centre of the opening from the level of water in the tank is 4.8 m.
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