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.

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.

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Description: Water flows into a tank and out through another pipe, as shown in the figure below. The waterin the tank has a surface area, Asurf = 6 m². At the bottom of the tank there is a door inclinedat an angle = 25 degrees with respect to the horizontal. The

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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Step 4: c) The height (in meters) of the fluid at time t=100 s

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