Integration question -- Filling a tank with water (tank has a hole at the bottom)

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  • #1
Manshah
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a tank is filled with water up to its brim a hole was made at the bottom of tank find time taken to empty tank if water flows at rate of 2h kg/s where h is height of liquid column and is equal to 20m radius is equal to h/2

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  • #2
anuttarasammyak
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Differential equation for change of mass in the tank for infinitesimal time change dt is
[tex]\rho dV=\rho Adh =-2h c dt[/tex]
where ##\rho## is density of water ##1000 kg/m^3##, A is horizontal cross section area ##2*20*\pi ##m^2, c is constant to adjust physical dimension c = 1 kg /(sec meter). h=40 m when t=0.
 
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