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

Answer:

T = 46.3 N

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

$v = \sqrt{\frac{T}{m/L}}$

now we know that

m = 19.3 g

L = 1.99 m

$69.08 = \sqrt{\frac{T}{0.0193/1.99}}$

$T = 46.3 N$