Question

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.

Answer 1

T = 46.3 N

Step-by-step explanation:

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

`\lambda = 15.7 cm = 0.157 m`

frequency is given as

`f = 440 Hz`

now the speed of the wave is given as

`v = \lambda f`

`v = (0.157)(440)`

`v = 69.08 m/s`

now we have

`v = \sqrt{(T)/(m/L)}`

now we know that

m = 19.3 g

L = 1.99 m

`69.08 = \sqrt{(T)/(0.0193/1.99)}`

`T = 46.3 N`