Find the fluid force exerted against the vertically submerged flat surface depicted in the diagram. Assume arbitrary
units, and call the weight-density of the fluid w.
-

A) $500 w$
B) $250 \mathrm { w }$
C) $\frac { 375 } { 2 } w$
D) $375 w$

Question

Find the fluid force exerted against the vertically submerged flat surface depicted in the diagram. Assume arbitrary
units, and call the weight-density of the fluid w.
-

A) $500 w$ 
B) $250 \mathrm { w }$ 
C) $\frac { 375 } { 2 } w$ 
D) $375 w$

Quizplus · Accepted Answer

The fluid force exerted on the submerged flat surface is equal to the weight of the fluid above the surface. In this case, the fluid above the surface has a weight of $\frac{1}{2}wh^2$, where $h$ is the height of the fluid above the surface. Since the depth of the fluid is 5 units, the height above the surface is 4 units. Therefore, the fluid force is $\frac{1}{2}w\cdot4^2=32w$. Choice D is the only option that matches this value.

Find the Fluid Force Exerted Against the Vertically Submerged Flat 500w500 w500w

Find the Fluid Force Exerted Against the Vertically Submerged Flat $500 w$