A tank filled with oil and water is installed Pa horizontally as shown in the figure. A U-shape H Oil tube is connected between the oil and water at Po the distances of Hi and H1+ Hz+ Hz from the surface of oil, respectively. The tube is filled |H3 Water Pw Po with the oil, water and mercury. The distance H. Pw* between the interfaces of mercury on the oil side Tank Mercury and the water side is D. The distance between the PM pipe connected to the water in the tank and the interface of the mercury in the tube is Ha4. Here, the density of the oil, water and mercury are Po.Pw and PM, respectively. The atmospheric pressure is pa and the gravitational acceleration is g. The pipe diameter is negligible compared with the tank height. Answer the following questions. (1) Derive the pressure PM at the interface of mercury on the oil side in the tube using Par Po,H1, H2, H3, H4, D and g. (2) Derive the distance D using Po. Pw.PM,H3 and H4.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A tank filled with oil and water is installed
Pa
horizontally as shown in the figure. A U-shape
[H
tube is connected between the oil and water at
Oil
Ро
the distances of Hị and Hi+ Hz+ H3 from the
surface of oil, respectively. The tube is filled
H3
Water Pw
Ро
with the oil, water and mercury. The distance
between the interfaces of mercury on the oil side
Tank
Pw
Mercury
and the water side is D. The distance between the
PM
pipe connected to the water in the tank and the
interface of the mercury in the tube is H4. Here, the density of the oil, water and mercury are
Po.Pw and pM, respeetively. The atmospheric pressure is pa and the gravitational acceleration is g.
The pipe diameter is negligible compared with the tank height. Answer the following questions.
(1) Derive the pressure PM at the interface of mercury on the oil side in the tube using pa, Po, H1,
H2, H3, H4, D and g.
(2) Derive the distance D using Po, Pw.Pm,Hz and H4.
Transcribed Image Text:A tank filled with oil and water is installed Pa horizontally as shown in the figure. A U-shape [H tube is connected between the oil and water at Oil Ро the distances of Hị and Hi+ Hz+ H3 from the surface of oil, respectively. The tube is filled H3 Water Pw Ро with the oil, water and mercury. The distance between the interfaces of mercury on the oil side Tank Pw Mercury and the water side is D. The distance between the PM pipe connected to the water in the tank and the interface of the mercury in the tube is H4. Here, the density of the oil, water and mercury are Po.Pw and pM, respeetively. The atmospheric pressure is pa and the gravitational acceleration is g. The pipe diameter is negligible compared with the tank height. Answer the following questions. (1) Derive the pressure PM at the interface of mercury on the oil side in the tube using pa, Po, H1, H2, H3, H4, D and g. (2) Derive the distance D using Po, Pw.Pm,Hz and H4.
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