How do I find the spring constant of a harmonic oscillator when given mass, time, and amplitude?

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A harmonic oscillator with an amplitude of 0.69 m and a mass of 0.94 kg oscillates with a period of 0.25 seconds.  What is the spring constant of this harmonic oscillator, in N/m?

Sep 9th, 2015

Thank you for the opportunity to help you with your question!

amplitude=0.69m

mass=0.94kg

period=0.25 seconds

F=Kx=mg

taking g=9.81

T=2Pi sqrt(m/k)

0.25=2*3.142 sqrt (0.94/k)

0.04^2=0.94/k

k=594N/m

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 9th, 2015

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Sep 9th, 2015
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