How to derive Mersenne's fundamental frequency formula?

Mars Yeung · Feb 18, 2016

I'm talking about equation 22,

Does anyone know how to derive this? It's Marin Mersenne's formula for fundamental frequency, but I'm perplexed as to how he derived it.

L would be the length, F would be force, and μ would be mass per unit length.
f is the frequency

Thanks

fresh_42 · Feb 18, 2016

I don't know your source. Can you specify what is given to derive it from?

How to derive Mersenne's fundamental frequency formula?

Discussion

Undergrad Measured Spectrum of Stopped Wood Organ Pipe Shows ALL Overtones

Graduate Does a moving particle count as a wave?

Undergrad Is Water's Volume Expansion Upon Freezing an Intrinsic Property?

High School Is it safe to fly in a spinning hollow asteroid?

Undergrad The effect of a radio wave on an electron

Graduate Electromagnetic Skrymion Created

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

How to derive Mersenne's fundamental frequency formula?

Discussion

Similar threads

Graduate Fundamental frequency of a rectangular-cavity whistle

T Section Lowpass LC Filter Frequency Formula

Waves: fundamental frequency of taut cable

Fundamental frequency of a wire wheel spoke

Graduate Find Fundamental Frequency of Vibrating Mylar Membrane

Formula relating thickness of pipe to fundamental frequency

Fundamental frequency if string halved and tension * 4

Graduate Power at fundamental frequency

Undergrad Do sound waves have modes like vibrating strings do?

Tension and Fundamental frequency