Upward Lifting force on a Cone!
A conical cup of height , semi-vertical angle rests open end down on a flat surface as shown. The cup is filled to height with liquid of density and a small hole is punched at the apex of the cone. The upward lifting force on the cup is , then ' ' is
The answer is 3.00.
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Firstly we have to neglect atmospheric pressure .
Then consider FBD of water .
Forces acting on it are :
net downward force by vertical walls.
Force of gravity
Pressure force exerted By base .
Now , force exerted by walls
F = PA - mg = ( H ρ g ) ( π b 2 t a n 2 α ) − 3 ( π ( b 3 − ( H − b ) 3 ) ( t a n 2 α ) ρ g )