A stretched string is 1.91 m long and has a mass of 19.3 g. When the string is oscillated at 440 Hz, which is the frequency of the standard A pitch that orchestras tune to, transverse waves with a wavelength of 17.1 cm travel along the string. Calculate the tension in the string.

so tension in the string is 57.199 N

Explanation:

given data

long = 1.91 m

mass = 19.3 g

oscillated = 440 Hz

wavelength = 17.1 cm = 0.171 m

to find out

tension in the string

solution

we know equation

v = √ (T/u) ... 1

here

v = oscillation * wavelength = 440 * 0.171 = 75.24 m/s

and u = mass / length = 0.0193 / 1.91 = 0.010104712

so from equation 1

v = √ (T/u)

75.24 = √ (T/0.010104)

T = 57.199 N

so tension in the string is 57.199 N