Question

A piezoelectric accelerometer is attached to a water pump to measure the vibration due to cavitation. Figure 1 shows the vibration spectrum of the pump vibration (in terms of g = 9.81 m/s²) when it is operating at 4000 rpm with and without cavitation. The cavitation region of frequencies is denoted in the figure. If the accelerometer has a damping ratio of (the last TWO digits of your SQU Number/100), answer the followings: a) What is the minimum natural frequency ($f_n$) (in Hz) of the accelerometer such that the dynamic error is within ±10%? b) Explain physically the meaning to have a Magnitude Ratio much greater than 1 (i.e., $M \gg$ 1). c) At what sampling frequency ($f_s$) (in Hz) the cavitation vibration can be acquired accurately? d) What is the cut-off frequency (in Hz) of the anti-aliasing filter?

          A piezoelectric accelerometer is attached to a water pump to measure the vibration due to cavitation. Figure
1 shows the vibration spectrum of the pump vibration (in terms of g = 9.81 m/s²) when it is operating at 4000
rpm with and without cavitation. The cavitation region of frequencies is denoted in the figure. If the
accelerometer has a damping ratio of (the last TWO digits of your SQU Number/100), answer the followings:
a) What is the minimum natural frequency ($f_n$) (in Hz) of the accelerometer such that the dynamic error
is within ±10%? 
b) Explain physically the meaning to have a Magnitude Ratio much greater than 1 (i.e., $M \gg$ 1).
c) At what sampling frequency ($f_s$) (in Hz) the cavitation vibration can be acquired accurately?
d) What is the cut-off frequency (in Hz) of the anti-aliasing filter?

A piezoelectric accelerometer is attached to a water pump to measure the vibration due to cavitation. Figure
1 shows the vibration spectrum of the pump vibration (in terms of g = 9.81 m/s²) when it is operating at 4000
rpm with and without cavitation. The cavitation region of frequencies is denoted in the figure. If the
accelerometer has a damping ratio of (the last TWO digits of your SQU Number/100), answer the followings:
a) What is the minimum natural frequency (fn) (in Hz) of the accelerometer such that the dynamic error
is within ±10%?
b) Explain physically the meaning to have a Magnitude Ratio much greater than 1 (i.e., M ≫ 1).
c) At what sampling frequency (fs) (in Hz) the cavitation vibration can be acquired accurately?
d) What is the cut-off frequency (in Hz) of the anti-aliasing filter?

Added by Holly S.

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