Question #190774

Determine the hydrostatic force on a triangular plate that is submerged in water.

6m wide and 4m high.

Expert's answer

hydrostatic force = pressure "\\times Area"

pressure = "\\rho gdy"

= "1000 \\times 9.8 \\times dy"

from similar triangles

"\\frac{6}{w}= \\frac{4}{y}"

"w= \\frac{3}{2}y"

force therefore = "1000\\times 9.8\\times (4-y)(\\frac{3}{2})dy"

= "\\int_0^4 9800\\times (4-y)(\\frac{3}{2})dy"

hydrostatic force = "156800 N"

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