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Galina-37 [17]
3 years ago
7

PLEASE HELP FAST Its in the photo below

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

there’s no photo

Step-by-step explanation:

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A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre
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Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

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