Calculate Force Constant of Spring: Vibrational Frequency 7.00/s

AI Thread Summary
To calculate the force constant of a spring with a vibrational frequency of 7.00 s-1, the relevant formula is k = (2πcω)²μ, where ω needs to be converted to the appropriate units. The discussion highlights confusion over the use of equations from optics instead of mechanics for simple harmonic motion (SHM). Participants express uncertainty about how to apply the given frequency in the correct context. Additionally, there is a need for clarification on the correct equations for SHM involving a mass on a spring. Understanding these concepts is crucial for solving the problem accurately.
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Homework Statement



Two 3.5 g masses are attached by a spring has a vibrational frequency of 7.00 s-1. Calculate
(a) the force constant of the spring; (b) the zero point energy; (c) the potential energy if the
maximum displacement is 0.5 cm.

Homework Equations


k=((2πcω)^2)μ
E=(1/2)hcw

(NOTE: The omega(w) in the formulas has a ~ over the top representing wave number which has the units 1/cm)

The Attempt at a Solution



The question gave me the vibrational frequency of 7.00/s. I don't how to put the frequency in terms of 1/cm so i can plug it into the force constant formula
 
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These don't look like the right equations for the problem. They're from optics, not mechanics. Do you not have an equation for the SHM of a mass on a spring?
 

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