If the oscillation amplitude is 0.22m, from a 0.29kg harmonic oscillator which has a total of mechanical energy 3.6j, the oscillation frequency is 4.141Hz.
What is oscillation frequency?
It is a number of oscillations in the one-time unit, says per second. For example, a pendulum that takes 0.5s to make one full oscillation has a frequency of 1 oscillation per 0.5s or 2 oscillations / second.
How to calculate the oscillation frequency?
mass (m) = 0.29kg
Total energy (E) = 3.6j
amplitude (x) = 0.22m
E = 1/2 k*x^2
k = 2*E / x^2
= 2 * 3.6 / 0.22^2
= 148.76 N/m
Frequency (v) = 1/2π √k/m
= 1/2*3.14 * √148.76 / 0.22
= 4.141Hz
Therefore, the oscillation frequency is 4.141Hz.
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