1. One litre
of crude oil weighs 9.6N. Calculate its specific weight, density and specific
gravity.
2. Calculate
the density, specific weight and weight of two litres of a liquid of specific
gravity 0.764 [764 kg/m3,
7494.84 N/m3, 15 N]
3. A plate
0.025 mm distant from a fixed plate moves at 50 cm/s and requires a force of
1.471 N/m2 to maintain this speed. Determine the fluid viscosity
between the plates. [7.355 X 10-5
Pas]
4. Find the
kinematic viscosity of an oil having density 980 kg/m3 when at a
certain point in the oil, the shear stress is 0.25 N/m2 and velocity
gradient 0.3 m/s. [ 8.5 X 10-4
m2/s]
5. An oil film
of thickness 1.5 mm is used for lubrication between a square plate of size 0.9
m X 0.9 m and an inclined plane having an angle of inclination 20o. The
weight of the plate is 392.4 N and it slides down the plane with the uniform
velocity of 0.2 m/s. Find the dynamic viscosity of the oil. [1.24 Pa.s]
6. An oil of
viscosity 5 poise is used for lubrication between a shaft and sleeve. The
diameter of shaft is 0.5 m and it rotates at 200 rpm. Calculate the power lost
in the oil for a sleeve length of 100 mm. The thickness of the oil film is 1
mm. [2.15 kW]
7. Find the
change in volume of 1 m3 of water when subjected to a pressure
increase of 2 MN/ m2. The bulk modulus of elasticity of water is
2.24 X 10 9 N/m2. [0.89 X 10 -3m3
8. From the
following data, determine the bulk modulus of elasticity of water at 3.5 MN/ m2,
the volume was 1 m3 and at 24 MN/ m2, the volume was
0.990 m3. [2.05 X 10
9 N/ m2
9. An atomizer
forms water droplets with a diameter of 5 X 10-5 m, what is the
pressure within the droplets at 20 oC, if the pressure outside the
droplets is 101 kN/m2. Assume the surface tension of water at 200C
as 0.0718 N/m. [106.74 kN/m2
10. By how much
does the pressure in a cylindrical jet of water 4 mm in diameter exceed the
pressure of the surrounding atmosphere if the surface tension of the water is
0.0718 N/m. [35.9 N/m2
11. A shaft 80
mm in diameter is being pushed through a bearing sleeve 80.2 mm in diameter and
0.3 m long. The clearance assumed the uniform, is flooded with lubricating oil
of viscosity 0.1 kg/ms and specific gravity 0.9.
a) If the
shaft moves axially at 0.8 m/s, estimate the resistance force exerted by the
oil and the shaft.
b) If the
shaft is axially fixed and rotated at 1800 rpm, estimate the resisting torque
exerted by the oil and the power required to rotate the shaft.
[60.32 N, 22.74 Nm, 4.29 kW
12. A 30 cm
diameter pipe carries oil of specific gravity 0.8 at a velocity of 2 m/s. At
another section the diameter is 20 cm. Find the velocity at this section and also
mass rate of flow of oil. [4.5
m/s, 113 kg/s
13. A 40 cm
diameter pipe, conveying water, branches into two pipes of diameters 30 cm and
20 cm respectively. If the average velocity in the 40 cm diameter is 3 m/s,
find the discharge in the pipe. Also determine the velocity in 20 cm pipe if
the average velocity in 30 cm diameter pipe is 2 m/s. [0.3769 m3/s, 7.5 m/s
14. At point A
in a pipe line carrying water, the diameter is 1 m, the pressure is 98 kPa and
then velocity is 1 m/s. At point B, 2 m higher than A, the diameter is 0.5 m
and the pressure is 20 kPa. Determine the direction of the flow. [A to B]
15. The
capillary rise in the glass tube used for measuring water level is not to
exceed 0.5 mm. Determine its minimum size given that surface tension for water
in contact with air is 0.07112 N/m. [5.8 cm
16. The water
is flowing through a taper pipe of length 50 m having diameters 40 cm at the
upper end and 20 cm at the lower end at the rate of 60 lps. The pipe has a
slope of 1 in 40. Find the pressure at the higher level is 24.525 N/cm2. [25.58 N/cm2]
17. A pipe of
diameter 30 cm carries water at a velocity of 20 cm/s. The pressure at points A
and B are given as 34.335 N/cm2 and 29.43 N/cm2
respectively, while the datum head at A and B are 25 m and 28 m. Find the loss of head between A and B. [2 m
18. A nozzle of
diameter 30 mm is filled to a pipe of 60 mm diameter. Find the force exerted by
the nozzle on the water which is flowing through the pipe at the rate of 4 m3/min. [7057.7 N
19. A 450
reducing pipe bend in a horizontal plane tapers from 600 mm diameter at the
inlet to 300 mm diameter at the outlet. The pressure at the inlet is 140 kPa
and the rate of flow of water through the bend is 0.425 m3/s.
calculate the net resultant horizontal force exerted by the water on the bend. [33.23 kN]
20. Fig.1 shows
an unsymmetrical sprinkler. It has a frictionless shaft and equal flow through
each nozzle with a velocity of 8 m/s relative to nozzle. Find the speed of
rotation in rpm. [29.4 rpm]
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