A small seismic instrument is to be used for measurement of linear acceleration. It has  ωn = 100 rad/s and a displacement-sensing transducer which detects a maximum of ± 0.1in.  The certainty in the displacement measurement is ± 0.001in. Calculate the maximum  acceleration that may be measured with this instrument and the uncertainty in the measurement,  assuming ωn is known exactly.

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A small seismic instrument is to be used for measurement of linear acceleration. It has 
ωn = 100 rad/s and a displacement-sensing transducer which detects a maximum of ± 0.1in. 
The certainty in the displacement measurement is ± 0.001in. Calculate the maximum 
acceleration that may be measured with this instrument and the uncertainty in the measurement, 
assuming ωn is known exactly.

 

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