Physics 16.3 questionf

Question

A 100 cm-long steel string with a linear density of 1.0 g/m is under 200 N tension. It is plucked and vibrates at its fundamental frequency.

What is the wavelength of the sound wave that reaches your ear in a 20 degrees C room?

Answer 1

frequency of fundamental = sqrt(tension/density) / (2*length)

= sqrt(200/0.001)/2

= 224 Hz

wavelength = speed of sound / frequency

= 331 / 224 = 1.48 meters