A manometer is a device that measures pressure using a curved tube filled with liquid of constant density, po. One end of the tube is open to atmospheric pressure ( p,) and the other end of the tube is subjected to the pressure that we wish to measure, p , as in the diagram below. The pressure difference results in a difference in the height of the liquid in the two arms of the tube, h. Assume that the downward acceleration due to gravity is g. а. Derive an expression for p in terms of the other given parameters. Be sure to explain your reasoning. b. Assume that the liquid in the tube is mercury, and h=180 mm. What is the corresponding value of p?

A manometer is a device that measures pressure using a curved tube filled with liquid of constant density, po. One end of the tube is open to atmospheric pressure ( p,) and the other end of the tube is subjected to the pressure that we wish to measure, p , as in the diagram below. The pressure difference results in a difference in the height of the liquid in the two arms of the tube, h. Assume that the downward acceleration due to gravity is g. а. Derive an expression for p in terms of the other given parameters. Be sure to explain your reasoning. b. Assume that the liquid in the tube is mercury, and h=180 mm. What is the corresponding value of p?

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

See similar textbooks

Similar questions

An inverted differential manometer containing an oil of sp. gr. 0.9 is connected to find the difference of pressures at two points of a pipe containing water. If the manometer reading is 40 cm, find the difference of pressures. [Ans. 392.4 N/m²]
opposite figure shows a manometer and gauge attached to the bottom of kerosene tank (s.g. 0.82). If the gauge reading is 15 kPa, determine in mms the height z of mercury in the manometer.
Fig shows a U-tube differential manometer connecting two pressure pipes at A and B. Pipe A contains a liquid of specific gravity 1.8 under the pressure of 101 kN/m². The pipe B contains oil of specific gravity 0.7 under the pressure of 207 kN/m2. Find the difference of pressure measured by mercury as fluid filling U-tube in mm. The value of x and y are 2 m and 1.1 m respectively. Pe S, \Mercury The Mercury level difference (h ) in mm
The inclined tube manometer shown in the next figure is used to measure small pressure perturbations (Ap). This manometer is composed of a large tube (diameter (D), area (A)) and a small inclined capillary tube (diameter (d), area (a)) and angle (0). Any small pressure difference will result in fluid displacement (Ah) in the large tube and a significant displacement of the fluid in the capillary at a length (AL.). Ap AL initial level Ap (1) Obtain a relationship between (Ah) and (AL) ! (hint: displaced liquid in large tube is equal to that in the small tube ) (2) What the formula for (z2 – 21) ? (hint : height between level 2 and level 1) (3) Express the pressure (Pz-P1) in terms of (AL, 0, p, g, d, and D) ? (4) At what angle should the manometer be adjusted so that (AL-5 Ah) ?
The sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. From the given data, calculate the pressure difference between the two pipes.
1. Two pipes A & B caries an oil of specific gravities 0.9 & 1.2 respectively. The center of the pipe A is 75 cm above the pipe B. The height of oil in right limb is 35 cm. Also, the mercury level difference is found in right limb as 60 cm. Find the pressure difference between these two pipes in kPa. Also find the pressure equivalent in water head in mm. A. The difference of pressure between two pipes (PA-Pa) (Unit is in kPa) = B. Equivalent to Water head in mm =
The sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. If the pressure gauge gives a reading of 19 kPa, what is the absolute pressure in pipe B?
What is the value that is shown by pressure gage in the following chamber?Assuming that density of air is negligible, the SG of oil is 1.5, SG of mercury is 13.6.The heights are h1 = 6m, h2 = 2m, and h3 = 5m
A mercury manometer is used to measure the pressure (Pgas) of a gas enclosed in a container. On Earth, there is a height difference Ah between the two columns of mercury, as shown in the diagram. Pgas mercury This device is now taken to Jupiter (acceleration of gravity gJup 24.79 m/s2) and used in an enclosure which is kept at the Earth's atmospheric pressure (Po = 101 kPa). What happens to Ah? Ah would increase Ah would not change Not enough information to tell Ah would decrease
Fig shows a U-tube differential manometer connecting two pressure pipes at A and B. Pipe A contains a liquid of specific gravity 1.6 under the pressure of 109 kN/m². The pipe B contains oil of specific gravity 0.8 under the pressure of 219 kN/m². Find the difference of pressure measured by mercury as fluid filling U-tube in mm. The value of x and y are 2.4 m and 1 m respectively. Fa S Menin
In Figure below all fluids are at 20 deg.C. Determine pressure at point B, if pressure at point A is 150 kPa and weight of air is neglected. Use the table below for the densities at 20 deg.C. Liquid p. kg/m Kerosene - Ammonia 608 Benzene 881 Air Carbon tetrachloride 1590 Benzene Ethanol 789 Ethylene glycol Freon 12 B 1117 40 cm 9 cm 1327 20 cm Gasoline 680 14 cm Glycerin Kerosene 1260 t8 cm 804 Mercury- Water Mercury Methanol 13,550 791 SAE 10W oil 870 SAE 10W30 oil 876 SAE 30W oil 891 SAE 50W oil 902 Water 998 Seawater (30%e) 1025
In the open u-tube manometer shown, if h1 is 58 cm, considering that the value of h2 is four times of h1, what will be the value of PA in kPa? (The green fluid at points A has density of 166 kg/m while %3D the blue fluid has density of 333 mg/mL. Use g = 9.81m/s-). Show your answers in 2 decimal places. h2 h, (3) U- Tube Manometer