The pressure gauge shown in the figure consists of a springinside a vacuum chamber. The chamber is isolated from theenvironment by a piston, which is free to move up or down. VacuumAmbient pressure exerts a force on the piston, whichcompresses the spring. The spring has a force constant of1250 N/m, and the piston has a diameter of 12 mm. a) At sealevel, where ambient pressure is 1 atm, the spring iscompressed by distance x, relative to its relaxed length.Calculate xo. b) Suppose the pressure gauge is lowered intowater at a lake. At depth D1 = 4 m, the spring is compressed by distance x, relative toits relaxed length. Calculate x1. b) At depth D2, the spring is compressed by distancex2 = 17.325 mm relative to its relaxed length. Calculate D2.

Givenk=1250N/md=12mmP=1atm=101325PaD1=4mx2=17.325mm

side a vacuum chamber. The chamber is isolated from the nvironment by a piston, which is free to move up or down. mbient pressure exerts a force on the piston, which ompresses the spring. The spring has a force constant of 250 N/m, and the piston has a diameter of 12 mm. a) At sea evel, where ambient pressure is 1 atm, the spring is ompressed by distance x, relative to its relaxed length. alculate xo. b) Suppose the pressure gauge is lowered into

side a vacuum chamber. The chamber is isolated from the nvironment by a piston, which is free to move up or down. mbient pressure exerts a force on the piston, which ompresses the spring. The spring has a force constant of 250 N/m, and the piston has a diameter of 12 mm. a) At sea evel, where ambient pressure is 1 atm, the spring is ompressed by distance x, relative to its relaxed length. alculate xo. b) Suppose the pressure gauge is lowered into

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

3. The stopper in the figure has a specific gravity of 76 kN/m°. Calculate the diameter for the valve to be keep in static equilibrium h=1.5 m. The weight of the sphere is negligible.
The buoyant force on a body is equal to weight of the displaced fluid and acts vertically upward. TRUE FALSE
Surface tension varies greatly from substance to another. Select one: True False O
We first make equilibrium equations for the fluid pressure and then the free body diagram and then solve the question? Select one: O True O False ZFx=0, EFy=0 and EFz=0 are vector equations for the determination of the equilibrium equations for the fluid pressure in the body immersed in the liquid. Select one: O True O False A beaker is filled with a liquid of density p up to a height h. If half the liquid is replaced by equal volume of another liquid of twice the density, what will be the change in the base pressure? "PA h Ih/2 a) increased by pgh b) decreased by pgh c) increased by pgh-2 d) decreased by pgh=2 Select one: O A O B O C
Problem 1. The gauge pressure of the air in the tank shown in the figure below is meası red to be 65 kPa (fluids’ densities as follows: PH20 = 1000 Kg , Poil = 742 Kg/m³, Phg = 13650 Kg/m³). Determine the differential height а) h of the mercury column Oil 65 kPa Determine the resultant force per b) unit depth acting on the quarter of circumference (radius R=15 cm) at the left bottom corner of the tank. 75 cm Air Water |30 сm h - Mercury H%3D75 cm
The gate shown in Figure 5 has a mass of 225 kg/m normal to the screen/page and is normal to the page.It is supported by a counterweight made of concrete (Specific gravity = 2.5). If θ = 30o, determine the minimum mass(in air) of the counterweight per unit length of the gate (into the page) required to keep the gate in equilibrium asshown. Neglect the weight of the arm required to hold the counterweight.
In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. Theweight of the gate is 4 kN and the force exerted by the stopper on the gate is measured tobe 30 kN.Draw the free body diagram of the rectangular gate.
In figure (1), The Gauge pressure at A reads P87 kPa. All fluids are at 20°C. Determine the elevations Z in meters of the liquid levels in the open piezometer tubes B and c. Gasoline S.G= 0.8, Glycerin S.G= 0.9, air density= 1.25 kg/m³. A В C 2 m Air 1.5 m Gasoline 1 m Glycerin -
2. There is a liquid having density of Np below a liquid of density p (N is an unknown constant). A piston of a rectangular cross section (width H into the page) is attached to a completely submerged sphere of density e/3 and volume 4/2H3, with a pulley attachment as shown in the figure. The piston surface has a 45° angle with respect to the horizontal direction and a 90° angle with the pulley cable. It is measured that the within the piston is atmospheric. pressure (a) Identify all the forces applied to the piston surface, and mark them on a free body diagram. Accurately indicate their points of action. (b) Evaluate N if all the forces applied to the piston surface balance. Air P/3 2H g Piston surface Np H
Consider a 16ft-long canoe (A-E) shown in Figure 3.1 with two individuals positioned at B and D. respectively. Assume that the buoyant force of the water (po) is uniformity distributed over the length of the canoe as shown below. The weight of the person at B is 200 lb. Assume that the canoe does not move and is in equilibrium. a) Determine the weight of the person at D (Reminder: The canoe is in equilibrium and perfectly horizonal). b) Determine the amplitude of po c) Using the results from parts a) and b), draw the shear and bending moment diagrams between A and E (i.e., along points A, B, C, D, and E). 30- W₁ = 200 lb 8 ft Figure 3.1 5 ft W 8 E Po 8 ft
A semicircular, hinged gate separates two fluids on either side of a partition. Part (a) of the figure shows the geometry of the gate, and part (b) of the figure shows the whole system in side view. The radius of the gate (4 m) is equal to the height of the fluid on the right side of the gate (fluid 2), and the specific weight ratio of the fluids is γ2/γ1 = 1.5. At what height, h, will thegate just start to open?
For the piston shown below how much should the force applied at the lever to keep it in equilibrium if the load has a mass of 75kg 20 cm 1m pivot 7 m load oil (s = 0.85) FIGURE O