Figure Q1 shows a closed tank of 1.2 m width and 1.2 m height. The tank is filled with water and has a 1.0 m diameter hemispherical dome. A U-tube manometer is connected to the tank. The air pressure at the upper end of the manometer is 90 kPa. The specific weight of water is 9810 N/m³ while the specific gravity of the gage fluid is 3.0. (a) (b) (c) Determine the gage pressure reading on the pressure gage. Determine the resultant hydrostatic force acting on the left wall of the tank, by using the following methods: (i) The hydrostatic force equation (ii) The pressure prism (Sketch the pressure prism) Prove that both methods yield the same solution. Determine the vertical force exerted by the water on the dome. Hints: A free body diagram sketch would be useful. If the upper end of the manometer is now exposed to the atmosphere, and the differential manometer reading and the pressure gage reading are still the same as before, what is the specific gravity of the gage fluid?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Figure Q1 shows a closed tank of 1.2 m width and 1.2 m height. The tank is filled
with water and has a 1.0 m diameter hemispherical dome. A U-tube manometer is
connected to the tank. The air pressure at the upper end of the manometer is 90 kPa.
The specific weight of water is 9810 N/m³ while the specific gravity of the gage fluid
is 3.0.
(a)
(b)
(c)
Determine the gage pressure reading on the pressure gage.
Determine the resultant hydrostatic force acting on the left wall of the tank, by
using the following methods:
(i) The hydrostatic force equation
(ii)
The pressure prism (Sketch the pressure prism)
Prove that both methods yield the same solution.
Determine the vertical force exerted by the water on the dome.
Hints: A free body diagram sketch would be useful.
(d)
If the upper end of the manometer is now exposed to the atmosphere, and the
differential manometer reading and the pressure gage reading are still the
same as before, what is the specific gravity of the gage fluid?
Water
1.0 m diameter
0.6 m
T
1.2 m
0.6 m
Air
Gage
fluid
(SG = 3.0)
Transcribed Image Text:Figure Q1 shows a closed tank of 1.2 m width and 1.2 m height. The tank is filled with water and has a 1.0 m diameter hemispherical dome. A U-tube manometer is connected to the tank. The air pressure at the upper end of the manometer is 90 kPa. The specific weight of water is 9810 N/m³ while the specific gravity of the gage fluid is 3.0. (a) (b) (c) Determine the gage pressure reading on the pressure gage. Determine the resultant hydrostatic force acting on the left wall of the tank, by using the following methods: (i) The hydrostatic force equation (ii) The pressure prism (Sketch the pressure prism) Prove that both methods yield the same solution. Determine the vertical force exerted by the water on the dome. Hints: A free body diagram sketch would be useful. (d) If the upper end of the manometer is now exposed to the atmosphere, and the differential manometer reading and the pressure gage reading are still the same as before, what is the specific gravity of the gage fluid? Water 1.0 m diameter 0.6 m T 1.2 m 0.6 m Air Gage fluid (SG = 3.0)
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