# MAE 350 Midterm 1 S20 Sol.pdf - Rutgers University...

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1Rutgers UniversityDepartment of Mechanical and Aerospace Engineering14:650:350 Mechanical Engineering MeasurementsSpring 2020Midterm 1 SolutionProblem 1:(a)=2200 Hzsmff(b)The Nyquist frequency is 50 Hz, so there is no alias frequency for the 40 Hzcomponent. For the three frequency components:60 Hz40 Hz (out-of-phase)80 Hz20 Hz (out-of-phase)100 Hz0 Hz.The reconstructed signal is=+=( )sin802sin803sin403sin40sin80x ttttttProblem 2:(a)For the transducer:The zero-order uncertainty can be calculated as()010.010.005 mm2Tu==The linearity error can be calculated as1%20.02 mm=The sensitivity error is0.02 V=0.02V/(2V/1 mm)0.01 mm=The zero-offset error is 0.01 mmThe instrument uncertainty is()2220.020.010.01=0.0245 mmCTu=++The design-stage uncertainty is()()()22= 0.025 mmDLKTTTuuu=+.(b)For the voltmeterThe full-scale range is 10 mm, which is equivalent to 20 V.The quantization error is()010.039 V2FSRMVEu+==The conversion error is()0.02 VCVu=The design-stage uncertainty is()()()22= 0.044 VDLKVVVuuu=+.

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Term
Spring
Professor
PENGSONG
Tags
Rutgers University, Mechanical and Aerospace Engineering, Mechanical Engineering Measurements