You were asked to design a measurement system to study the vibrational spectrum of a diesel engine. A strong resonance is likely at 350 Hz, and weaker frequencies of up to 2500Hz may be excited also. You have selected an accelerometer that you would like to read out with a computer at a specific sample rate.
a) what is the minimum sample rate that reproduces the frequencies of the vibrational spectrum correctly?
b) How many measurements need to be read out to achieve a relative error of better than 2% in determining the resonance frequency?