8/10/2019 08 09 14 Fluid Mechanics

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FLUID MECHANICS1. If an object has a mass of 2.0 slugs at sea level, what would its massbe at a location where acceleration due to gravity is 30ft/s2?

2. Standard atmospheric pressure is measured by a barometer columnof 760mm of mercury. Compute the equivalent height of water column ifspecific gravity of mercury is 13.6. Ans. 10.34m

3. A liquid is compressed in a cylinder has a volume of 1000cm 3at1MPa and a volume of 995cm3at 2MPa. What is the bulk modulus? Ans.200MPa

4. A rectangular tank having an internal width of 5m has a partition asshown below. If the specific gravity of oil is 0.82, find the depth of oil.Ans. 1.22m

5. The differential manometer is attached to a pipe as shown in thefigure. Compute the pressure difference between points A and B. Ans.112.57kPa

6. A semi-circular gate AB shown in the figure is hinged at A & held byhorizontal force at B. What horizontal force F is required forequilibrium? Ans. 799.4KN

7. In the figure shown, determine theresultant pressure per meter of itslength acting on the cylinder. Ans.66.75KN

8. A dam 4m on top, 18m at the bottom & 25m high has water 20m deepacting on its vertical side. Neglecting uplift pressure, what is the stressat the heel? Wt. of concrete is 2200kg/m3. Ans. 39773kg/m2

9. Determine the force F required to keep the conical plug in the holeof 1m diameter as shown in the figure. Neglect the weight of the plug.Ans. 63.7KN

10. A spherical ball one meter in diameter floats half submerged in atank of oil with a specific gravity of 0.82. Find the minimum weight of ananchor made of lead with a specific gravity of 11.3 that will be requiredto submerged the ball completely. Ans. 2272N

11. A rectangular scow 10m long, 6m wide & 3m high has a draft of2.2m in water. What maximum load F that can be applied at the edge soas not to sink the scow. Use moment of wedge shift principle. Ans.117.72KN

12. An open cylindrical tank has a diameter of 2m & a height of 6mcontaining water to a depth 4m. What volume of water will be spilledout if it is rotated at 12.5rad/sec. Ans. 5.45cu.m.

13. A closed cylindrical tank 6m high & 2m in diameter is filled withwater to a depth of 5m. It is rotated about its axis at 8rad/sec. What isthe maximum pressure at the bottom if the air space inside is under apressure of 80KPa? Ans. 145.4KPa

14. An open rectangular tank 3.8m high, 2.5m wide and 6m long is filledwith water at a depth of 2.2m. If the tank is accelerated to the left at2.3m/s2, compute the maximum acceleration without spilling any water.Ans. 5.23

15. A rectangular tank containing water is accelerated at 2.5m/s2upward & parallel to the inclined plane making an angle of 80with thehorizontal. Determine the inclination of the water surface. Ans. 13.720

16. A closed tank that has an elliptical cross section is mounted on a

truck. It is filled with oil having a specific gravity of 0.81. The tank is3.5m long & has a total depth of 1.5m. If the tank has a cross sectionalarea of 4.8m2& is accelerating horizontally at 4.5m/s2, find the totalforce acting at the rear end of the tank. Ans. 90.01KN