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Question 1. A pump for a wastewater treatment plant has a motor with a nameplate rating of 20 HP. When the pump operates the measured power draw is equivalent to 15 HP. The pump operates 80% of the time. The energy company bills the plant at a rate of $0.15 per kilowatt-hour of energy used. Describe how to calculate the yearly energy cost for the motor. Assume the motor is 100% efficient. (Note also that 1 kilowatt-hour = 3,600 kJ although you don't necessarily need this conversion.)Question 2. If you had been tasked to remove the water from New Orleans after Hurricane Katrina would you select a radial flow, mixed flow or axial flow pump for this purpose? Explain it briefly.
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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