1.

A cubical tank carrying a non viscous liquid (water, moves down a smooth inclined plane. When we open the say) hole made at the mid-point P of the face of the tank, it strikes the point Q of the inclined plane. Find the of the tank at the time of opening the valve.

Answer»


SOLUTION :`v_(REL)=sqrt(2g_(eff)H/2)-sqrt(g_(eff)h)=sqrt(ghcostheta)`
The actual velocity of the liquid `v=(v_(r)-v_(0))`

Then the time of flight `T=sqrt((2(h/2))/(gcostheta))=sqrt(h/(gcostheta))`
`h=vt=1/2(gcostheta)T^(2)` putting `T`,and `v`, we have
`v_(0)=h(1+(tantheta)/2)sqrt((gcostheta)/h)+sqrt(ghcostheta)`


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