Water flows into a tank and out through another pipe, as shown in the figure below. The water in the tank has a surface area, Asurf= 5.8 m^2. At the bottom of the tank there is a door inclined at an angle θ= 40 degrees with respect to the horizontal. The door has a length L=1.1 m and a width w=1 m (out of the page). The flowrate into the tank is ??(?)= 0.22 m^3/s and the flowrate out is ??(?)==0.03 m3/s At time ?=0, the water has a depth h0= 2.1 m. The density of water is ?=ρ=1000 kg/m3kg/m3. 1. Find the vertical force (in Newtons) on the door at time ?=0 2.Find the height (in metres) of the fluid at time ?=100 s 3.Find the pressure (in Pascals) at the bottom at time ?=100 s
Water flows into a tank and out through another pipe, as shown in the figure below. The water in the tank has a surface area, Asurf= 5.8 m^2. At the bottom of the tank there is a door inclined at an angle θ= 40 degrees with respect to the horizontal. The door has a length L=1.1 m and a width w=1 m (out of the page).
The flowrate into the tank is ??(?)= 0.22 m^3/s and the flowrate out is ??(?)==0.03 m3/s
At time ?=0, the water has a depth h0= 2.1 m.
The density of water is ?=ρ=1000 kg/m3kg/m3.
1. Find the vertical force (in Newtons) on the door at time ?=0
2.Find the height (in metres) of the fluid at time ?=100 s
3.Find the pressure (in Pascals) at the bottom at time ?=100 s
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