vibration monitoring

(I am a mechanical grad student, so i am very basic at arduino stuff. Please excuse and correct me wherever I am wrong.)

Hello reader,

My project is to read vibrations of a simple gear train, and save data to the computer.

The gear meshing frequency of the setup is 696Hz,it means the max frequency of vibration will be around 1KHz

I am unable to decide whether the ADXL335 accelerometer will be sufficient for the experiment.
the bandwidth of the accelerometer Xout, Yout is 1600Hz and Zout is 500Hz. Is this something I should check out?

According to an article, it was written that the sampling frequency should be 2.56 times the frequency to be measured. so how to check or alter the sampling frequency in an accclerrometer?