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Assignment No.

1. What is the mass in grams and weight in dynes and in gram-force of 12 oz of salt?
Local gravity is 9.65 m/s2. (1 lbm = 16 oz)

Answer: 340.20 gm and 334.77 gf

2. A mass of 0.10 slug in space is subjected to an external vertical force of 4 lb f. If the


local gravity acceleration is g = 30.5 fps 2 and if friction effects are neglected
determine the acceleration of the mass if the external vertical force is acting (a)
upward and (b) downward in fps2.

Answer: (a) 9.50 fps2 and (b) 70.5 fps2.

3. The mass of a given airplane at sea level (g = 32.1 fps 2) is 10 short tons. Find its
mass in (a) lbm, (b) slugs, (c) kgm, and (d) gravitational weight in lbf when it is
travelling at a 50,000 ft elevation. The acceleration of gravity g decreases by 3.33 x
10-6 fps2 for each foot of elevation.

Answer: (a) 20,000.00 lbm, (b) 621.62 slugs, (c) 9,071.94 kgm, and (d) 19,850.50 lbf.

4. A lunar excursion module (LEM) weights 1500 kg f on earth where g = 9.75 m/s 2.
What will be its weight on the surface of the moon where gm = 1.70 m/s2. On the
surface of the moon, what will be the force in kgf what will be the force in (a) kg f and
(b) in newtons required to accelerate the module at 10 m/s 2.

Answer: (a)1538.46 kgf and (b) 15,087.08 N.

3
5. The mass of a fluid system is 0.311 slug, its density is 30 lb m /ft and g is 31.90 fps2.
3 3
Find (a) the specific volume in ft /lb m , (b) the specific weight in lb f /ft , and (c) the
total volume in ft 3.

3 3
Answer: (a) 0.03 ft /lb m , (b) 29,74lb f /ft , and (c) 0.33 ft 3.

6. A cylindrical drum (2-ft diameter, 3-ft height) is filled with a fluid whose density is
3
40 lb m /ft . Calculate (a) the total volume of fluid in ft 3, (b) its total mass in pounds
and slugs, (c) its specific volume in ft 3 /lb m , and (d) its specific weight in lb f /ft 3. Note
that the local gravity is 31.90 fps2.

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Answer: (a) 9.42 ft 3, (b) 377.00 lb m and 11.72 slugs, (c) 0.03 ft /lb m , and
3
(d) 39.66lb f /ft .
7. A vacuum gauge mounted on a condenser reads 0.66 mHg (meter of mercury). What
is the absolute pressure in the condenser in kPa when the atmospheric pressure is
101.3 kPa?

Answer: 13.31 kPa

8. Convert the following readings of pressure to kPa absolute, assuming that the
barometer reads 760 mmHg: (a) 90 cmHg gage, (b) 40 cmHg vacuum, (c) 100 psig,
(d) 8 inHg and (e) 76 inHg gage.

Answers: (a) 221.32 kPa, (b) 48.00 kPa, (c) 790.80 kPa, (d) 74.23 kPa, and
(e) 358.70 kPa.

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