Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume the density is 62.4 lb/ft³ Surface of pool Depth lyl y (ft) (x,y) - 11 11 .x (ft) -----y=-2

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Calculate the fluid force on one side of the plate using the
coordinate system shown below. Assume the density is
62.4 lb/ft³
Surface of pool
Depth
lyl
y (ft)
(x,y)
- 11
.x (ft)
-----y=-2
The fluid force on one side of the plate is
lb.
Transcribed Image Text:Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume the density is 62.4 lb/ft³ Surface of pool Depth lyl y (ft) (x,y) - 11 .x (ft) -----y=-2 The fluid force on one side of the plate is lb.
Expert Solution
Step 1

Formula used 

Advanced Physics homework question answer, step 1, image 1

Where w is density,

F is fluid force.

From figure, equation of line passing through (0,-11) and (11,0) is,

x= 11+y,

Length  of strip = 2x= 22+2y.

Area of strip dA= 2x.dy

dA= 2(11+y)dy,

dP=62.4y lb/ft³

dF1=dP×dA,

dF1= 62.4y×2(11+y)dA,

dF1= 124.8(11y+y²)dA

 

 

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