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You have a 1.99-m-long stretched string with a mass of 19.3 g. When you oscillate the string at 440 Hz., which is the frequency of the standard A pitch that orchestras tune to, you observe transverse waves with a wavelength of 15.7 cm traveling along the string. Calculate the tension in the string.

Respuesta :

Answer:

T = 46.3 N

Explanation:

As we know that the wavelength of the wave is given as

[tex]\lambda = 15.7 cm = 0.157 m[/tex]

frequency is given as

[tex] f = 440 Hz[/tex]

now the speed of the wave is given as

[tex]v = \lambda f [/tex]

[tex]v = (0.157)(440)[/tex]

[tex]v = 69.08 m/s[/tex]

now we have

[tex]v = \sqrt{\frac{T}{m/L}}[/tex]

now we know that

m = 19.3 g

L = 1.99 m

[tex]69.08 = \sqrt{\frac{T}{0.0193/1.99}}[/tex]

[tex]T = 46.3 N[/tex]

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