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Question: Air flows through a convergent-divergent nozzle. The air has Mach 0.50 and a pressure and a temperature of 280 kPa and 10°C, respectively, at the inlet to the nozzle. The nozzle throat area is 6.5 × 10-4 m2 and the ratio of the exit area to the throat area is 4. If the pressure on the exit plane of the nozzle is 170 kPa, find the Mach number and the temperature on the nozzle exit plane and the nozzle area at the point in the nozzle at which the normal shock wave occurs.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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