A machine shop floor is subjected to the following vibration due to electric motors running at different
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A machine shop floor is subjected to the following vibration due to electric motors running at different speeds:
\[x(t)=20 \sin 4 \pi t+10 \sin 8 \pi t+5 \sin 12 \pi t \mathrm{~mm}\]
If a vibrometer having an undamped natural frequency of \(0.5 \mathrm{~Hz}\), and a damped natural frequency of \(0.48 \mathrm{~Hz}\) is used to record the vibration of the machine shop floor, what will be the accuracy of the recorded vibration?
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