7/28/2019 Tutorial Mec Fluid

1/2

TUTORIAL : MECHANIC FLUID

1. A solid sphere has a radius of 1.5 cm and a mass of 0.038 kg. What is the specificgravity of the sphere?

2. An 80-kg metal cylinder 2 m long and with each end of area 25 cm2 stands verticallyon one end. What pressure does the cylinder exert on the floor?

3. Consider a gas confined to a container by means of a piston of area 40 cm2 . If aperpendicular force 20 N is exerted on the piston to keep the gas from expanding, find

the gas pressure.

4. Atmospheric pressure is about 100 kPa. How large a force does the air in a room exerton the inside of a window pane that is 40 cm x 80 cm?

5. The height of the mercury column in a barometer is 760 mm. Find the pressure of theatmosphere in pascals.

6. How high will water rise in the pipes of a building if the water pressure gauge showsthe pressure at the ground floor to be 270 kPa?

7.

Assume that the two liquids in the U-shaped tube of figure above are water and oil.

Compute the density of the oil if the water stands 19 cm above the interface and the

oil stands 24 cm above the interface.

8. If the blood vessels in a human being acted as simple pipes (which they do not), whatwould to be the difference in blood pressure between the blood in a 1.80-m-tall mans

feet and in his head when he is standing? Assume the specific gravity of blood to be

1.06.

9. A hydraulic lift in a service station has a large piston 30 cm in diameter and a smallpiston 2 cm in diameter.

(a) What force is required on the small piston to lift a load of 1500 kg?

(b) What is the pressure increase due to the force in the confined liquid?

10.In a hydraulic press the large piston has cross-sectional area A1 = 200 cm2 and thesmall piston has cross-sectional area A2 = 5 cm

2 . If a force of 250 N is applied to the

small piston, what is the force F1 on the large piston?

7/28/2019 Tutorial Mec Fluid

2/2

11.A metal ball weighs 0.096 N. When suspended in water it has an apparent weight of0.071 N. Find the density of the metal.

12.A solid cube of material is 0.75 cm on each edge. It floats in oil of density 800 kg/m3with one-third of the block out of the oil.

a) What is the buoyant force on the cube?b) What is the density of the material of the cube?

13.If the speed of water is 15 cms -1 and the cross sectional area is 5 cm2.a) calculate the speed of this flow at 2.3 cm2.

b) calculate the mass flow rate of each area.14.Calculate the velocity of the water flow.

15.What is Pascals principle?16.What is Bernoulli principle?17.A girl with 60kg stands on the giant piston as shown belowand the

cross-sectional area of the piston is 4 x 10-2 m2.Calculate the height, h,

of water that can support her weight. Density of water = 1000kgm-3.

18.A 50 kg woman balances on one heel of a pair of high-heeled shoes. If the heel iscircular in shape and a radius 0.5 cm, what pressure does she exert on the floor?

19.Given , 33101 kgmwater and .1082.0 33 kgmoil calculate the pressure at thebottom of the tank.

20.A block is immersed about3

2of its volume. Calculate the density of the block. Given

33101

kgmwater .

21.A sample of unknown material weighs 300 N in air and appears to weigh 200 N whenimmersed in alcohol of density equal to 0.700x103 kg/m3. What are

(a) the volume of the material?

(b) the density of the material?