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]?
A) #2R^(2)rhogL#
B) #R^(2)rhogL#
C) #4R^(2)rhogL#
D) #1.61R^(2)rhogL#
A)
B)
C)
D)
1 Answer
Aug 28, 2017
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
#P_"ave"=rhog(R+R)=2Rrhog#
Area of the cylinder exposed to pressure
Now
#:."Force"=2Rrhogxx2RL=4R^2rhogL#
