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A trough whose cross section is an equilateral triangle with sidea=4 mlong is filled with water. What is the force due to water pressure on one end of the trough? (Hint: Using SI units,ρg=9800 kg/(m⋅s2)

A trough whose cross section is an equilateral triangle with side a = 4 m long is filled with water. What is the force due to water
pressure on one end of the trough?
60
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a
a
60
60°
(Hint: Using SI units, pg = 9800 kg/(m-s²).)
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
F =
a
Then, the hydrostatic force F due to the pressure exerted by a fluid on the plate is
= [² PBCH
pg(H - y)[f(y) - g(y)] dy

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