Home/Calculus II/Applications of the integral/Hydrostatic forceSection 10.8Hydrostatic forceFor a vertical plate:Copy LaTeXF=∫ρg d(y) w(y) dy,F=\int \rho g\,d(y)\,w(y)\,dy,F=∫ρgd(y)w(y)dy,View detail →where ρ\rhoρ is the mass density, ggg the gravitational acceleration, d(y)d(y)d(y) the depth, and w(y)w(y)w(y) the width of the strip.If specific weight γ=ρg\gamma=\rho gγ=ρg is used:Copy LaTeXF=∫γ d(y) w(y) dy.F=\int \gamma\,d(y)\,w(y)\,dy.F=∫γd(y)w(y)dy.View detail →
For a vertical plate:Copy LaTeXF=∫ρg d(y) w(y) dy,F=\int \rho g\,d(y)\,w(y)\,dy,F=∫ρgd(y)w(y)dy,View detail →
If specific weight γ=ρg\gamma=\rho gγ=ρg is used:Copy LaTeXF=∫γ d(y) w(y) dy.F=\int \gamma\,d(y)\,w(y)\,dy.F=∫γd(y)w(y)dy.View detail →