pset5SP10

pset5SP10 - UNIVERSITY OF MISSOURI COLUMBIA DEPARTMENT OF...

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UNIVERSITY OF MISSOURI - COLUMBIA DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING MAE 3800 Instrumentation and Measurements Laboratory Problem Set #5 Due: Thursday, May 6 Problem 1 (10 points) (Based on Prob. 4.3 and Prob. 5.8) Express the following waveform as sums of harmonic functions (i.e. find the Fourier series of the waveform) Problem 2 (10 points) [Prob. 5.13 from the textbook] A temperature sensor is expected to measure an input having frequency components as high as 50Hz with an error no greater than 5%. What is the maximum time constant for the temperature sensor that will permit this measurement? Problem 3 (10 points) [Prob. 5.19] A force transducer behaves like a second-order system. If the undamped natural frequency of the transducer is 1800Hz and its damping is 30% of critical, determine the error in the measured force for a harmonic input of 950Hz. What is the magnitude of the phase angle? Problem 4

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pset5SP10 - UNIVERSITY OF MISSOURI COLUMBIA DEPARTMENT OF...

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