Question

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.

Answer 1

Answer:

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