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Independent Orthogonal Coordinate Frames in Euclidean Spaces In 3D Euclidean space, we need a triad to locate a point. There are two independent and non superposable triads. How many different nonsuperposable Cartesian coordinate systems can be imagined in 4D Euclidean space? How many Cartesian coordinate systems do we have in an nD Euclidean space?
Steam flows through a small steam turbine at the rate of 10,000 kg/hr, entering at 600 C and 2 MPa and emerging at 0.01 MPa with 4% moisture. The flow enters at 50 m/s at a point 2 m above the discharge and leaves at 80 m/s. Compute the shaft-power o..
Compute the shear buckling coefficient for a long, simply-supported, rectangular plate.
A rigid tank initially contains 3 kg of saturated water vapor at 140°C. Heat transfer occurs, and the pressure drops to 200 kPa. Assume that kinetic and potential energies are negligible. Determine the amount of energy transfer by heat, in kJ.
A body moves through standard air at 200 m/s. What is the stagnation pressure on the body? Assume (a) compressible flow and (b) incompressible flow.
The 60-W fan of a central heating system is to circulate air through the ducts. The analysis of the flow shows that the fan needs to raise the pressure of air by 50 Pa to maintain flow. The fan is located in a horizontal flow section whose diameter i..
the heat flux through a 1-mm thick layer of skin is 1.05 x 104 wm2. the temperature at the inside surface is 37degc and
An autoclave contains 1000 cans of pea soup. It is heated to an overall temperature of 100°C. If the cans are to be cooled to 40°C before leaving the autoclave, how much cooling water is required if it enters at 15°C and leaves at 35°C? The speci..
a piston-cylinder device contains 5 kg of refrigerant-134a at 0.7 mpa and 60 degrees c. the refrigerant is now cooled
Ten pounds-mass of R-22 is at an initial volume of 4.059 ft3 and pressure of 200 psia. It is compressed isobaric ally until its volume is two-thirds of its initial volume. The piston is then held in place as the refrigerant cools until its temperatur..
A steel cylinder with closed ends has an internal diameter of 160 mm and external diameter of 320 mm OD. It is subject to an internal pressure of 150 MPa. Determine the radial and tangential stress distributions
a simple sling can be built by placing a projectile in a tube and then spinning it. consider a simple model in which
air modeled as an ideal gas enters a steady state adiabatic turbine at 1200 k and exits at 100 kpa 700 k. the
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