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Prove the following using dimentional analysis

v = 1 / 2l + sqrt{t/n}

v = frequency T= tension force n = mass per length.

1
by Shrine

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v = 1 / 2l + sqrt{t/n}

v = frequency T= tension force n = mass per length.

by Shrine

Log in to add a comment

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Fundamental resonance frequency of a transverse wave on a thin rod or rope that has a uniform mass per unit length n is given by the following formula.

T is the force of tension in the rope or string or thin rod of length L. The string is fixed firmly at both ends or open at both ends.

So the dimensions on both sides match.

Fundamental resonance frequency of a transverse wave on a thin rod or rope that has a uniform mass per unit length n is given by the following formula.

T is the force of tension in the rope or string or thin rod of length L. The string is fixed firmly at both ends or open at both ends.

So the dimensions on both sides match.