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Problem Sets for Fluid Mechanics

Total questions: 22

Worksheet time: 4hrs 40mins

Name
Class
Date
1.

What is the sea level specific gravity of a certain fluid with a mass density of 2.2 slugs per cubic feet?

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2.

The density of ethanol is 1.56 slugs/ft^3. Find the mass in grams of 20 cm^3 of ethanol.

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3.

An iron block weighs 5 Newtons and has volume of 200 cm^3. What is the density of the block?

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4.

The specific gravity of a mercury relative to a water is 13.55. What is the specific weight of the mercury in kN/m^3?

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5.

What is the specific weight of air at 500 kPa absolute and 21 deg C?

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6.

What pressure is required to reduce the volume of water by 0.80 percent? Bulk modulus of water is 2.2 GPa.

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7.

Find the depth of the water with a pressure of 101 kPa at the bottom.

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8.

Oil with specific gravity of 0.82 is 0.90 m deep in an open tank which is also filled with water. If the tank is 3 m deep, what is the pressure, in kPa, at the bottom of the tank?

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9.

Express a pressure gage reading of 45 in of Hg in absolute kPa.

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10.

Assuming the specific of air to be constant at 12 N/m^3, what is the approximate height of Mt. Banahaw if a mercury barometer at the base of the mountain reads 658 mm and at the same time another barometer at the top of the mountain reads 465 mm.

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11.

Compute the barometric pressure in kPa at an altitude of 1500 m if the pressure at sea level is 101.3 kPa. Assume isothermal conditions at 21 deg C. Use R = 287 J/kg – K.

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12.

A hydraulic press is used to raise a 100-kN cargo. If the oil of sp. gr. = 0.82 acts on piston under a pressure of 12 MPa, what diameter of piston is required?

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13.

A vertical rectangular gate 2 m wide and 3 m high is submerged in a water with the top edge 2.5 m below the water surface. Find the location of the total hydrostatic force acting on one side of the gate from the water surface.

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14.

An ice with a mass of 800 grams is floating freely in seawater. Calculate the buoyant force experienced by the ice.

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15.

The density of an iceberg is 57 lbm per cubic feet. If it floats in freshwater, what percent of iceberg’s volume is visible?

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16.

A stone weighs 460 N in air. When submerged in water, it weighs 300 N. Determine the specific weight of the stone in kN/m^3.

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17.

What is the flow rate of water passing through a pipe with a diameter of 25 mm and speed of 0.375 m/sec?

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18.

A 100 mm plunger is being pushed 75 mm/sec into a tank filled with oil having sp. gr. of 0.80. If the fluid is incompressible, how many N/s of oil is being force out at a 25 mm diameter hole?

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19.

If the velocity of flow in a 75 mm diameter fire hose is 0.5 m/sec, what is the available power in a 25 mm diameter jet issuing from a nozzle attached at the end of the pipe?

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20.

Oil with density of 55 lbm/ft^3 flow at 1 fps through a 1-inch diameter pipe. A 0.2-inch diameter orifice (C = 0.6) is installed. Determine the indicated pressure drop.

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21.

A cylindrical tank 6 m in diameter and 12 m high has a 100-mm hole at the bottom with C­d = 0.90. How long will it take for the water level to drop from 12 m to 8 m?

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22.

A turbine is rated at 25 hp when the flow of water through it is 180 gpm. Assuming an efficiency of 88%, what is the head acting on the turbine?

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