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The power P generated by a certain windmill design depends on its diameter D, the air density P, the wind velocity V, the rotation rate Ω , and the number of blades n.
(a) Write this relationship in dimensionless form. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V =40 m/s and when rotating at 4800 r/min.
(b) What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 12 m/s at 2000 m standard altitude?
(c) What is the appropriate rotation rate of the prototype?
You are asked to design a system that will improve the cooling system for microprocessors that resembles the Intel Pentium®4. The Pentium 4 processor is packaged in a Flip-Chip Land Grid Array package that interfaces with the motherboard.
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Compute an Arrow-Debreu equilibrium for an economy with two consumers, A and B, and two states, 1 and 2. Each consumer has a von Neumann-Morgenstern utility function for lotteries of money, and for each consumer the utility of x units of money is ..
The top of a car has an area of 4 m2 and is at a temperature of 40 C. It’s speed is 40 mph. At what rate will it lose heat to surrounding air at 10 C if heat transfer coefficient is 400 W/m2C?
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