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Consider a 4-m-long, 4-m-wide, and 1.5 aboveground swimming pool that is filled with water to their rim. (a) Determine the hydrostatic force on each wall and distance of the line of action of this force from the (b) If the height of the walls of the pool is doubled and pool is filled, will the hydrostatic force on each wall double or quadruple? Why?

Question-Answer › Category: Fluid Mechanics › Consider a 4-m-long, 4-m-wide, and 1.5 aboveground swimming pool that is filled with water to their rim. (a) Determine the hydrostatic force on each wall and distance of the line of action of this force from the (b) If the height of the walls of the pool is doubled and pool is filled, will the hydrostatic force on each wall double or quadruple? Why?
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GME asked 1 year ago

Consider a 4-m-long, 4-m-wide, and 1.5 aboveground swimming pool that is filled with water to their rim. (a) Determine the hydrostatic force on each wall and distance of the line of action of this force from the (b) If the height of the walls of the pool is doubled and pool is filled, will the hydrostatic force on each wall double or quadruple? Why?

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Sazid Ahmad answered 1 year ago

 

Step: 1

Given:
Length of swimming pool 
Width of swimming pool 
Height of swimming pool 

 

Step: 2

Specific weight of water, 
Area, 

The distance from free surface of water to centroid of the wall:


 

Step: 3

(a)
Hydrostatic force on the wall:




Thus the hydrostatic force on each wall is 

 

Step: 4

Distance of line of action from the ground:



Thus the distance of line of action from the ground is .

 

Step: 5

(b)
Hydrostatic force on the wall when the height of the pool is doubled:



Thus the hydrostatic force quadruples.

 

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