Tutorial2 .pdf


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ENG243 - TUTORIAL EXERCISES - Set 2
The tutorials for this unit will come from two sources. There are problems taken directly
from the text book. The reference MYO 03.53 would mean problem 3.53 from chapter 3
of the set textbook. The information given in the textbook is reprinted in the tutorials for
your convenience. Other problems will give full details.
Some problems are given in BG units. I recommend you convert all numbers into
SI units, and then solve the problem in SI units. You can then convert the answer back
to BG units if necessary.

1.
(MYO 02.06) Bathyscaphes are capable of submerging to great depths in the
ocean. What is the pressure at a depth of 5.0 km, assuming that seawater has a
constant specific weight of 10.1 kN/m3 ? Express your answer in pascals and psi.

2.
(MYO 02.12) The basic elements of
a hydraulic press are shown below (Fig.
P2.12). The plunger has an area of 6.5
cm2, and a force, F1, can be applied to the
plunger through a lever mechanism having
a mechanical advantage of 8 to 1. If the
2
large piston has an area of 0.10 m what
load F2, can be raised by a force of 130 N
applied to the lever? Neglect the
hydrostatic pressure variation.

3.
(MYO 02. 24) A U-tube
manometer is connected to a closed
tank containing air and water as
shown below (Fig P2.24). At the
closed end of the manometer the air
pressure is 16.0 psia (note, psia
means absolute pressure in units of
psi). Determine the reading on the
pressure gauge for a differential
reading of 4.0 ft on the manometer.
Express your answer in psi (gauge).
Assume standard atmospheric
pressure and neglect the weight of
the air columns in the manometer.

4.
(MYO 02.38) An air-filled,
hemispherical shell is attached to the
ocean floor at a depth of 10.0 m as
shown in the figure below (Fig
P2.38). A mercury barometer located
insider the shell reads 765 mm Hg,
and a mercury U-tube manometer
designed to give the outside water
pressure indicates a differential
reading of 735mm Hg as illustrated.
Based on these data what is the
atmospheric pressure on the ocean
surface?

5.
The differential mercury manometer
below is connected to pipe B containing
gasoline (SG = 0.90), and to pipe A containing
water. Determine the gauge pressure at B, if
the gauge pressure at A is 4.0 kPa.

6.
(MYO 02.46) The diagram below shows an inclined tube manometer connecting
two pipes. Determine the change in elevation of the mercury in the left leg of the
manometer below (Fig. 2.46) if the pressure in pipe A is increased by 5.0 psi while the
pressure in pipe B remains constant.

ANSWERS

1.

50.5 MPa ; 7320 psi

2.

1.60 × 10 N

3.

32.1 kPa

4.

94.9 kPa

5.

41.4 kPa

6.

0.0927 m (down)

5


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