Fast Fourier Transform of a Wilberforce Pendulum

How can I perform the fast Fourier transform larger data that derived in excel for the behavior of a Wilberforce pendulum. How can I import it into Matlab and then make Matlab carry out the transform. Thank you

Answer 1

[Kush]

To perform fast fourier transform on the data derived in the Excel for the behaviour of a Wilberforce pendulum, you can import the data into MATLAB and then use the built in 'fft' function to perform the fourier transform.

https://in.mathworks.com/help/matlab/ref/fft.html

Here is a sample code for reference:

data = readmatrix('filename.csv');
%assuming data has two columns; time and displacement.
time = data(:,1);
displacement = data(:,2);

%calculate the frequency resolution.
Fs = 1/(time(2)-time(1));
N = length(displacement);
f_resolution = Fs/N;

%perform  fourier transform.
amplitude = abs(fft(displacement))/N; %amplitude spectrum
freq = (0:N-1)*f_resolution;

plot(freq,amplitude);
xlabel('frequency (Hz)');
ylabel('Amplitude');