Assignment B

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Concordia University *

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361

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Mechanical Engineering

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Jan 9, 2024

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Problem 2.6 An unknown immiscible liquid seeps into the bottom of an open oil tank. Some measurements indicate that the depth of the unknown liquid is 1.5 mand the depth of the oil (speoificweigt\t = 85 kN/m’) floating on top is 5.0 m . A pressure gage connected to the bottom of the tank reads 65 kPa . What is the specific gravity of the unknown liquid?
Problem 2.37 A U-tube manometer is connected to a closed tank containing air and water as shown in the figure below. At the closed end of the manometer the air pressure is 16 psia. Determine the reading on the pressure gage for a differential reading of 4 ft on the manometer. Express your answer In psi (gage). Assume standard atmospheric pressure and neglect the weight of the air columns in the manometer. Ciosed vaive il Water Gage fluld (y=90 1b/1t3) ;fi-—:—q
Problem 2.39 A closed cylindrical tank filled with water has a hemispherical dome and is connected to an inverted piping system as shown in the figure below. The liquid in the top part of the piping system has a specific gravity of 0.8, and the remaining parts of the system are filled with water. If the pressure gage reading at 4 is 60 kPa, determine (a) the pressure in pipe B, and (b) the pressure head, in millimeters of mercury, at the top of the dome (point C).
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Problem 2.40 Two pipes are connected by a manometer as shown in the figure below. Determine the pressure difference p, - Py, between the pipes.
Problem 2.43 For the inclined-tube manometer of the figure below, the pressure in pipe 4 is 0.6 psi. The fluid in both pipes 4 and B is water, and the gage fluid in the manometer has a specific gravity of 2.6. What Is the pressure in pipe B corresponding to the differential reading shown?
Problem 2.44 A flowrate measuring device is installed in a horizontal pipe through which water is flowing. A U-tube manometer is connected to the pipe through pressure taps located 3 in. on either side of the device. The gage fluid in the manometer has a specific weight of 122% . Determine the differential reading of the manometer corresponding to a pressure drop between the taps of
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Problem 2.87 A homogeneous, 4-ft-wide, 8-ft -long rectangular gate weighing 800 Ib is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point 4. Friction in the hinge is negligible. Determine the tension in the cable.
Problem 2.106 An open tank has a vertical partition and on one side contains gasoline with a density p=700kg/m"at a depth of 4m , as shown in the figure below. A rectangular gate that is 4 m high and2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? 4m Gasoline
Problem 2.110 The closed vessel of the figure below contains water with an air pressure of 10 psi at the water surface. One side of the vessel contains a spout that is closed by a 6-in.-diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 ft below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate shut. Neglect the weight of the gate and friction at the hinge. 6-in.-diameter gate o
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Problem 2.117 The 18-ft-long lightweight gate of the figure below is a quarter circle and is hinged at H . Determine the horizontal force, P, required to hold the gate in place. Neglect friction at the hinge and the weight of the gate.
Problem 2.131 Three gates of negligible weight are used to hold back water in a channel of width b as shown in the figure below. The force of the gate against the block for gate (b) is R. Determine (in terms of R) the force against the blocks for the other two gates. (@) ® [C]
Problem 2.145 When a hydrometer (see the figure below) having a stem diameter of 0.30in. is placed in water, the stem protrudes 3.15in. above the water surface. If the water is replaced with a liquid having a specific gravity of 1.10, how much of the stem would protrude above the liquid surface? The hydrometer weighs 0.0421b.
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