MATERIALS SCIENCE+ENGINEERING:WILEY PLUS
MATERIALS SCIENCE+ENGINEERING:WILEY PLUS
10th Edition
ISBN: 9781119815242
Author: Callister
Publisher: WILEY
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Chapter 7, Problem 35QAP
To determine

The differences in grain structure for a metal that has been formed by cold worked and one that has been recrystallized after cold worked.

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A Carnot (ideal) heat pump is to be used to heat a house and maintain it at 22°C in winter. On a day when the average outdoor temperature remains at about 0°C, the house is estimated to lose heat at a rate of 65,000 kJ/h. If the heat pump consumes 6 kW of power while operating, determine: (a) how long the heat pump ran on that day (b) the total heating costs, assuming an average price of 11¢/kWh for electricity (c) the heating cost for the same day if an 85% efficient electric furnace is used instead of a heat pump.
From the information in the image, I needed to find the orientation of U relative to Q in vector basis q_hat. I transformed the euler angle/axis representation to euler parameters. Then I got its conjugate in order to get the euler parameter in N frame relative to Q. The problem gave the euler angle/axis representation in Q frame relative to N, so I needed to find the conjugate. Then I used the euler parameter rule of successive rotation to find the final euler parameters that describe the orientation of U relative to Q. However that orientation is in n_hat which is the intermediate frame. How do I get the final result in q_hat?
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