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The tank is 2 m wide (into the paper). Water has a density of p_w = 1.0 Mg/m^3.

ID: 1710763 • Letter: T

Question

The tank is 2 m wide (into the paper). Water has a density of p_w = 1.0 Mg/m^3. Determine the magnitude in kilonewtons of the hydrostatic force that the water exerts on vertical wall segment AB, horizontal surface BC, and vertical wall segment CD. F_AB = kN F_BC = kN F_CD = kN Indicate the location of the hydrostatic force on each surface as measured in meters from the topmost point of the surface for vertical surfaces and the leftmost point of the surface for the horizontal surface. d_Ab = m from A d_BC = m from B d_CD = m from C

Explanation / Answer

FAB=p*g*h*h*w/2 =1000*9.81*0.610*0.610*2/2=3.65kN

FBC=Pressure*Area=pghw*0.820=9.8 kN

FCD=(pg(h1+h2)/2)*h2*w=22.8 kN

dAB=2*0.610/3 =0.41 m

dBC=BC/2=0.41m

dCD=2*1.25/3=0.83 m

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