2 years ago

The state of matter that has particles that slide by one another

Physics

1 answer:

Dvinal [7]2 years ago

7 0

The state of matter that has particles that slide by one another is liquid because liquid is very slippery.

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The tension is 75.22 Newtons

Explanation:

The velocity of a wave on a rope is:

$v=\sqrt{\frac{TL}{M}}$ (1)

With T the tension, L the length of the string and M its mass.

Another more general expression for the velocity of a wave is the product of the wavelength (λ) and the frequency (f) of the wave:

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We can equate expression (1) and (2):

$\sqrt{\frac{TL}{M}}$ = $\lambda f$

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$T= \frac{M(\lambda f)^2}{L}$ (3)

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$\lambda_{harmonic}=\frac{2l}{N_{harmonic}}$

It's is important to note that in our case L the length of the string is different from l the distance between the pin and fret to produce a Concert A, so for the first harmonic:

$\lambda_{1}=\frac{2(0.425m)}{1}=0.85 m$

We can now find T on (3) using all the values we have:

$T= \frac{2.42\times10^{-3}(0.85* 440)^2}{0.45}$

$T=75.22 N$

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