An airship with a displacement volume of 2400 cu – m and total mass of 1.6 tonnes is released into the atmosphere with a polytropic index equal to 1.24. Assuming that the airship displacement volume does not change with altitude, determine (i) the temperature lapse rate of the atmosphere. (ii) the maximum height above sea level to which the aircraft can rise. NB: Atmospheric temperature and pressure at sea-level are 15°C and 101kPa, respectively. For air, the characteristics gas constant is equal to 287J/kg.

An airship with a displacement volume of 2400 cu – m and total mass of 1.6 tonnes is released into the atmosphere with a polytropic index equal to 1.24. Assuming that the airship displacement volume does not change with altitude, determine (i) the temperature lapse rate of the atmosphere. (ii) the maximum height above sea level to which the aircraft can rise. NB: Atmospheric temperature and pressure at sea-level are 15°C and 101kPa, respectively. For air, the characteristics gas constant is equal to 287J/kg.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The specific weight and the specific gravity of a body of unknown composition are desired. Its weight in air is found to be 890 N, and in water it weighs 667 N.
A volume of 400 cm3 of air is measured at a pressure of 740 mmHg absolute and a temperature of 18 deg.C. What will be the volume at 760 mmHg and 0 deg.C?
The piston of a vertical piston-cylinder device containing a gas has a mass of 40 kg and a cross-sectional area of 0.012 m2 . The local atmospheric pressure is 95 kPa, and the gravitational acceleration is 9.81 m/s2 (a) Determine the pressure inside the cylinder. (b) If some heat is transferred to the gas and its volume is doubled, do you expect the pressure inside the cylinder to change?
A solid block is floating on mercury with SG = 13.6. Determine the following if the total volume of the block is 0.02 m^3. Use SG of block = 3.5. Use g = 9.81m/s² and specific weight of water %3D 9.81KN/m3. weight of the block in kN; percentage of the total volume of the block exposed above the liquid surface; and the additional vertical force (kN) required to fully submerge the block. Note: Do not include units in your answers. Do not round off intermediate values and answer in four decimal places.
PROBLEM SET 4 1. Oxygen at 30°C and 300 kPa absolute pressure expands isotherrnally to an absolute pressure of 120 kPa. Determine the final density of the gas. Ans. 1.52 kg/m³ 2. Air is enclosed by a rigid cylinder containing a piston. A pressure gage attached to the cylinder indicates an initial reading of 25 psi. Determine the reading on the gage when the piston has compressed the air to one-third its original volume. Assume the compression process to be isothermal and the local atmospheric pressure to be 14.7 psi. Ans. 104 psig
H.w: A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass of 4 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 60 N on the piston. If the atmospheric pressure is 95 kPa, determine the pressure inside the cylinder 60 N P= 95 kPa mp=4 kg A = 35 cm www
Determine the absolute pressure in kPa exerted on an object submerged 1000 m below the surface of the sea. The density of sea water is 1020 kg/m³ and the accelaration due to gravity is 9.7 m/s?. The local atmospheric pressure is 0.98 bar.
A certain mass of air confined in a tank has an initial temp of 21 degress centigrade and an initialabsolute pressure of 1.2 bar.If the gas is heated until the final absolute pressure is 2.8 bar. What is the final temperature of the gas in degrees Celsius?
Kevin's favorite hiking route is on the foothills of Rocky's in Colorado. Kevin's barometer reads 740 mbars at the beginning of a hiking trip and 630 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance Kevin climbed. Assume an average air density of 1.20 kg/m³. Hint: mbar is millibar, and pressure drops with altitude.
Determine the weight (in Ib;) of an 160-lbm person at sea level (z = 0), in Denver (z = 1610 m) and on top of Mount Everest (z = 8848 m). %3D
Q2/ The pressure in a natural gas pipeline is measured by a double U-tube manometer with one of the arms open to the atmosphere. The absolute pressure in the pipeline is to be determined if hy-0.7 m, h-0.4 m, and h-1.0 m. Take the densities of water, oil, and mercury to be 1000 kg/m2, 840 kg/m, and 13,600 kg/m2, respectively. Oil Water ho Natural Mercury (1-1)
(3) The barometer of a mountain hiker reads 757 mmHg at the beginning of a hiking trip and 715 mmHg at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20 kg/m³ and the density of the mercury is 13600 kg/m³. (a) 416 m (b) 446 m (c) 476 m (d) 506 m (e) 536 m