- #1

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## Homework Statement

I do not understand the difference between v=f [tex]\lambda[/tex] and v=[tex]\sqrt{T/\mu}[/tex]

If a string is vibrated twice the frequency but the same tension as previous. Would the speed of the wave doubled?

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- Thread starter tanzl
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- #1

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I do not understand the difference between v=f [tex]\lambda[/tex] and v=[tex]\sqrt{T/\mu}[/tex]

If a string is vibrated twice the frequency but the same tension as previous. Would the speed of the wave doubled?

- #2

LowlyPion

Homework Helper

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The other relates the velocity to the physical properties of the transmission media Tension and mass/length to the velocity of propagation.

Which properties can affect the speed of propagation? If you change the frequency of the wave how would you have affected the properties of the media that determine speed of propagation?

- #3

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If a string is vibrated twice the frequency but the same tension as previous. Would the speed of the wave doubled?

No. Yhe wacelength would be halved.

- #4

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- #5

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how fast is the train going?

- #6

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L is wavelength and f is frequency.

I understand this equation but I confused the two.

In your example, if I increase f the speed will increase but it is not the case in a string.

I am not convinced that by doubling the frequency of the vibration the speed of the wave is still the same.

- #7

LowlyPion

Homework Helper

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The statement says Tension is the same. Same wire. Same mass per length. Same velocity of propagation.

Hence the only thing that can change if you change frequency is λ.

- #8

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https://www.physicsforums.com/showthread.php?t=288922

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