You need to run some vibrations tests and your lab has an accelerometer (2nd order system) that has a natural frequency (resonance) at 3,000 Hz and damping ratio of 0.05. The vibrations you wish to measure are in the range of 100 - 1,200 Hz. a. What are the amplitude error (in %) and phase shift (in degrees) expected at the upper end of the vibration frequency range (1,200 Hz)? b. What is the maximum frequency that you can measure to have no more than 1% error in the amplitude of the reading? c. Is this a suitable choice of accelerometer for this measurement? Why or why not?

You need to run some vibrations tests and your lab has an accelerometer (2nd order system) that has a natural frequency (resonance) at 3,000 Hz and damping ratio of 0.05. The vibrations you wish to measure are in the range of 100 - 1,200 Hz. a. What are the amplitude error (in %) and phase shift (in degrees) expected at the upper end of the vibration frequency range (1,200 Hz)? b. What is the maximum frequency that you can measure to have no more than 1% error in the amplitude of the reading? c. Is this a suitable choice of accelerometer for this measurement? Why or why not?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

You need to run some vibrations tests and your lab has an accelerometer (2nd order system) that
has a natural frequency (resonance) at 3,000 Hz and damping ratio of 0.05. The vibrations you
wish to measure are in the range of 100 - 1,200 Hz.
a. What are the amplitude error (in %) and phase shift (in degrees) expected at the upper
end of the vibration frequency range (1,200 Hz)?
b. What is the maximum frequency that you can measure to have no more than 1% error in
the amplitude of the reading?
c. Is this a suitable choice of accelerometer for this measurement? Why or why not?

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