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About the calculation formula for the natural frequency (f)

keyword
the number of vibrations
natural frequency

Question HY

I would like to ask you about the calculation formula for the natural frequency (f) of the compression spring. Generally, f=1/(2π)×√(k/m), but JIS B 2704, the formula is f=i/2×√(k/m) and this does not contain π. Why are there two formulas? Which formula is correct? Thank you in advance!

Answer Tokai Spring

Thank you for your inquiry, HY!

Regarding the calculation formula of natural frequency (f), the general formula f=1/(2π)×√(k/m) calculates the frequency f of the vibration system consisting of an object with mass m and a spring with spring constant k.
For f=i/2×√(k/m) described in JIS, it is a calculation formula for calculating the natural frequency f of the spring, and m represents the mass of the spring.
Therefore, it seems that the two formulas have different properties (^.^)!

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