he provided image shows vibrations from a car idle at 33 Hz. The fourier transform of the data is shown in the bottom plot. Are the following statements true or false? A fourier series that would represent the vibrational data would contain two frequences of 15 Hz and 30 Hz. This data has a vibrational noise at a fundamental frequency of 15 Hz as well as the three overtones to this fundamental.  The oscillations seen in the data are due to the vibrational noise at 15 Hz and 30 Hz.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter2: One Dimensional Motion
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Problem 17PQ: The position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points...
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The provided image shows vibrations from a car idle at 33 Hz. The fourier transform of the data is shown in the bottom plot. Are the following statements true or false?

  • A fourier series that would represent the vibrational data would contain two frequences of 15 Hz and 30 Hz.
  • This data has a vibrational noise at a fundamental frequency of 15 Hz as well as the three overtones to this fundamental. 
  • The oscillations seen in the data are due to the vibrational noise at 15 Hz and 30 Hz.
Amplitude (g)
Amplitude (g)
0.4
0.2
O
-0.2
-0.4
46
0.05
0.04
0.03
0.02
0.01
0°
Fourier Transform of Car Engine
Vibration of Car Engine during Idle (Zoomed In)
46.005 46.01 46.015 46.02 46.025 46.03 46.035 46.04 46.045 46.05
Time (s)
FFT of Car Engine during Idle
50
100
150
200
www.
MY
250
Frequency (Hz)
300
350
400
450
500
Transcribed Image Text:Amplitude (g) Amplitude (g) 0.4 0.2 O -0.2 -0.4 46 0.05 0.04 0.03 0.02 0.01 0° Fourier Transform of Car Engine Vibration of Car Engine during Idle (Zoomed In) 46.005 46.01 46.015 46.02 46.025 46.03 46.035 46.04 46.045 46.05 Time (s) FFT of Car Engine during Idle 50 100 150 200 www. MY 250 Frequency (Hz) 300 350 400 450 500
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