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)

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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
Show Transcribed Text
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
Transcribed Image Text: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 Show Transcribed Text 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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