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 = 5.6 m². At the bottom of the tank there is a door inclined at an angle = 45 degrees with respect to the horizontal. The door has a length L = 0.9 m and a width w=0.8 m (out of the page). The flowrate into the tank is Q; (t) = 0.3 m³/s and the flowrate out is Qo(t) = 0.07 m 3/s At time t = 0, the water has a depth ho = 2 m. The density of water is p=1000 kg/m³.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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: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
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 = 5.6 m². At the bottom of the tank there is
a door inclined at an angle = 45 degrees with respect to the horizontal. The door has
a length L = 0.9 m and a width w=0.8 m (out of the page).
The flowrate into the tank is Q₁ (t) = 0.3 m³/s and the flowrate out is Qo(t) = 0.07 m
3/5
At time t = 0, the water has a depth ho = 2 m.
The density of water is p = 1000 kg/m³.
Asurf
x
h(t)
a)
Find the pressure (in kilopascals) at time t = 0
Qout
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 = 5.6 m². At the bottom of the tank there is a door inclined at an angle = 45 degrees with respect to the horizontal. The door has a length L = 0.9 m and a width w=0.8 m (out of the page). The flowrate into the tank is Q₁ (t) = 0.3 m³/s and the flowrate out is Qo(t) = 0.07 m 3/5 At time t = 0, the water has a depth ho = 2 m. The density of water is p = 1000 kg/m³. Asurf x h(t) a) Find the pressure (in kilopascals) at time t = 0 Qout
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