Mechanical Engineering License Review, Fifth Edition

Supplement E Hydraulics And Fluid Mechanics

Questions and Answers

E-1

An elevated water tank consists of a cylindrical section 16 ft in diameter and 20 ft high. Below this is a hemispherical bottom. With water level 2 ft below the top a 12-in.-diameter circular orifice with discharge coefficient of 0.60 is opened in the bottom at the center. Compute the time required to draw the water level down 22 ft.

E-2

A vessel in the form of a right circular cone is filled with water. If h is its height and r the radius of its base, what time will it require to empty itself through an orifice of area a at the vertex?

E-3

Two sources of pressure, M and N, are connected by a water-mercury differential gauge, as shown in Fig. E-3. What is the difference in pressure between M and N in psi?


Figure E-3

E-4

It is necessary to pump 3 cfs of water through a pipeline 4,000 ft long to a reservoir 200 ft above the pumps. What minimum size of cast-iron pipe (new) should be installed if the lost head is not to exceed 10 per cent of the static lift?

E-5

Water enters a turbine through a 4-in.-diameter pipe at 150 psia and leaves through an 8-in.-diameter pipe at a point 3 ft lower under a pressure of 5 psig. Flow is 2 cfs. Turbine efficiency is 85 per cent. Compute horsepower output of turbine.

E-6

A pipe 30 in. in diameter...

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