Question

1A) Use integration to find the amount of fluid force exerted against one side of the submerged triangular plate

An equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m³.)

1B       From the problem above. Lower this plate so that it maintains the same visual orientation but is now 500’ lower than before (top of triangle now 502’ below water surface). Recompute the fluid force exerted on one side of this plate. Is it 500 times the answer from #1? Is it close?

Answer 1