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HW6-S10

# HW6-S10 - ME 365 Out Thursday HOMEWORK SET 6 Spring 2010...

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ME 365 HOMEWORK SET 6 Spring 2010 Out: Thursday, February 25 2010 Due: Thursday, March 4 2010 -1- Solve each problem on separate sets of sheets. Dynamic System Response—Frequency Response Problem 1 (First Order Frequency Response) The time response of a thermocouple is described by the following first order differential equation: dy y KT dt  where y is the output voltage, T is the input temperature, is the time constant, K is the static sensitivity, and V 0 is the bias voltage. a. Write the frequency response function of the thermocouple and its magnitude and phase or argument as a function of angular frequency. b. For =2 seconds, K=0.001V/ C, T 0 =25 C, write the particular solutions for environmental temperatures following the following functions: i. T=25+3sin2πt C ii. T=25+3cos2πt C iii. T=25+3cos2πt+3sin2πt+2cos6πt+2sin6πt+cos10πt+sin10πt iv. T=25+3cos(2πt+10 )+4sin(2πt+50 ) c. Plot all of the input temperatures and voltage responses in part (b) for a time period of 10 seconds using MATLAB. Do this is a single plot with two subplots in MATLAB—with the input

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HW6-S10 - ME 365 Out Thursday HOMEWORK SET 6 Spring 2010...

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