The reason I am stating this is because on calculating the units of w(omega) I found is equal to s^-1 not regular the rad/s. Proof:
F=-kx => k= -F/x Newton/metre = (Kg-m)/s^2m = Kg/s^2 (Units of K)
If we take the book definition of kx=mw^2x the we get
k=mw^2 then w^2= K/m Units of this (Kg/s^2Kg)^1/2 = 1/s or s^-1 meaning frequency.
Which makes more sense to me when considering a spring where applying w(angular velocity) seems less effective than f(frequency).
But I'd like to know if I made any mistakes if yes then an explanation would be very appreciated.