An accelerometer on a footbridge records two nearby vibration modes at and

PHYSICS · Subjective · Fermi University Physics · Computational Physics · Scientific programming for physicists · Scientific programming for physicists

Computational Physics, Ch Spectra of sampled signals

Problem

An accelerometer on a footbridge records two nearby vibration modes at

3.200\,\mathrm{Hz}

and

3.245\,\mathrm{Hz}

, sampled at

f_s = 50\,\mathrm{Hz}

. As for the pendulum's close modes, a Hann-windowed spectrum needs about

2.46

times the record length that an unwindowed one needs to resolve the same pair. (a) Find the shortest unwindowed record length that separates the two modes, and the corresponding sample count

N

. (b) Find the shortest Hann-windowed record length and its sample count.

Browse the problem library