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2020 CH - 5

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QUESTIONS FOR CHAPTER 5

1(a) Define hydrostatics, hydrodynamics and aerodynamics.

(b) A block of iron readily sinks, but ships constructed of iron float. A solid cubic block of
iron 2.0 m on a side with a density of 8.0˟10 3 kgm-3 is made into iron sheets, and an open
tube is made that does not sink. (i) What should be the minimum volume of such a tube?
(ii) What is the length of the sides of the cube?

2(a) State two types of densities completely. What are these units in British system?

(b) What is the height of the column of a mercury barometer if the atmospheric pressure is 1000
mb?

3(a) Define specific gravity in words as well as in symbols.

(b) The specific gravity of a particular liquid is 6.5. What would be the weight of 0.05 ft 3 of the
liquid?

4(a) What is surface-tension? In liquid, how many forces are there? State these forces.

(b) A pure gold nugget with a volume of 2.5 m 3 is placed on a double-pan balance. What would
be the volume of the brass weights needed to balance the nugget?

5(a) Show that the pressure within a fluid is directly proportional to the depth. The density of air
is not constant with height, why?

(b) A cylindrical sea lab with a diameter of 12 ft and a height of 10 ft is lowered in the ocean so
the top of the lab is 300 ft below the sea level. What is (i) the pressure and the force on the
top of the lab and (ii) the pressure on the bottom of the lab due to the sea water?

6(a) Explain the buoyant force.

(b) What is the atmospheric pressure if the column height of a mercury barometer is 76 cm.

7(a) Define absolute pressure, atmospheric pressure , gauge pressure and express the relation
between them. Draw positive and negative gauge pressure.

(b) The absolute pressure on an object submerged in glycerol is 1.1130˟10 5 Nm-2. What is the
depth of the object?

8(a) State the three conditions for floating and sinking.

(b) A cube of material 20 cm on a side as has a mass of 7500 g . (i) Will the cube float in water?

(ii) If so, what will be the height of the cube extending above the water surface?
9(a) Define flow rate in words and in symbols.

(b) In a hydraulic system, oil flows through a 3.0 cm diameter pipe with a speed of 30 cms -1. If
the pipes couple into another pipe where the flow speed is 20 cms -1 , what is the diameter of
the second pipe?

10(a) Express Bernoulli's equation and Poiseuille's law.

(b) A horizontal water line has 1.0 in diameter pipe that reduces to a 1/2 in diameter pipe. If
the water flows through the large-diameter pipe with a speed of 8.0 ft/s, (i) what will be the
flow speed of the water in the 1/2 in pipe and (ii) how many gallons of water per minute will
be delivered by the line?

11(a) State Archimede's principle and derive it.

(b) A 10 kg block of wood 30 cm on a side is held submerged under water. What force is
required to do this?

12(a) Define capillary action and viscosity completely.

(b) A water tower springs a leak 10 m below the water level. (i) At what speed does the water
initially emerge from the hole? (ii) If the hole has an area of 0.20 cm 2, what is the initial
flow rate?

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