A cylinder of radius R is kept embedded along the wall of a dam as shown. Take density of water as $rho$ . Take length as L. The force exerted by liquid on the cylinder in horizontal direction is [Neglecting atmospheric pressure]?

Question

A) $2R^(2)rhogL$
B) $R^(2)rhogL$
C) $4R^(2)rhogL$
D) $1.61R^(2)rhogL$

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Answer 1 · 2017-08-28T18:54:01

Average horizontal pressure on the surface of cylinder

$P_"ave"=rhogh_C$
where $h_C$ is depth of centroid (midpoint) of the surface

Inserting value of $h_C$ from the figure

$P_"ave"=rhog(R+R)=2Rrhog$

Area of the cylinder exposed to pressure $=2RxxL$

Now $"Force"="Pressure"xx"Area"$

$:."Force"=2Rrhogxx2RL=4R^2rhogL$