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a 0.29 kg harmonic oscillator has a total mechanical energy of 3.6 j. if the oscillation amplitude is 0.22 meters, what is the oscillation frequency f?

Sagot :

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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