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 = 6 m². At the bottom of the tank there is a door inclined at an angle = 25 degrees with respect to the horizontal. The door has a length L = 1 m and a width w=1 m (out of the page). The flowrate into the tank is Q: (t) = 0.23 m³/s and the flowrate out is Q.(t) = 0.07 m³/s At time t = 0, the water has a depth ho = 2.4 m. The density of water is p=1000 kg/m³.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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 = 6 m². At the bottom of the tank there is a door inclined
at an angle = 25 degrees with respect to the horizontal. The door has a length L = 1 m and
a width w=1 m (out of the page).
The flowrate into the tank is Q: (t) = 0.23 m³/s and the flowrate out is Q.(t) = 0.07 m³/s
At time t = 0, the water has a depth ho = 2.4 m.
The density of water is p=1000 kg/m³.
Asuif
h(t)
Qout
a)
Find the pressure (in kilopascals) at time t = 0
b)
Find the vertical force (in Newtons) on the door at time t = 0
c)
Find the height (in metres) of the fluid at time t = 100 s
d)
Find the pressure (in Pascals) at the bottom at time
t = 100 s
Transcribed Image Text: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 = 6 m². At the bottom of the tank there is a door inclined at an angle = 25 degrees with respect to the horizontal. The door has a length L = 1 m and a width w=1 m (out of the page). The flowrate into the tank is Q: (t) = 0.23 m³/s and the flowrate out is Q.(t) = 0.07 m³/s At time t = 0, the water has a depth ho = 2.4 m. The density of water is p=1000 kg/m³. Asuif h(t) Qout a) Find the pressure (in kilopascals) at time t = 0 b) Find the vertical force (in Newtons) on the door at time t = 0 c) Find the height (in metres) of the fluid at time t = 100 s d) Find the pressure (in Pascals) at the bottom at time t = 100 s
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