Consider a trough with triangular ends, as pictured below, where the tank is 10

Question

Consider a trough with triangular ends, as pictured below, where the tank is 10 feet long, the top is 5 feet wide, and the tank is 4 feet deep. Say that the trough is full to within 1 foot of the top with water. How much force does the water exert against one of the triangular ends?

3. Consider a trough with triangular ends, as pictured below, where the tank is 10 feet long, the top is 5 feet wide, and the tank is 4 feet deep. Say that the trough is full to within 1 foot of the top with water. How much force does the water exert against one of the triangular ends?

Explanation / Answer

It means the trough is 3m full.

Average pressure = Patm+rho*g*hcentroid

   =101325+1000*9.8*3*1/3 = 111125 Pa

  Force = Pressure*Area = 111125*(0.5*5*4)*(3/4)^2

= 625078 N answer

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