What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of 440 N? The wire is 0.630 m long and has a mass of 5.69 g.

Explanation:

The fundamental frequency f₀ is expressed as f₀ =V/2L where;

V is the speed of the string =

m is the mass of the string

L is the length of the string

T is the tension in the string

f₀ =

Given datas

m = 5.69g = 0.00569 kg

T = 440N

L = 0.630 m

Required

Fundamental frequency of the steel piano wire f₀

Hence the frequency of the fundamental mode of vibration of the steel piano wire stretched to a tension of 440N is 220.698Hz

heat the gas and measure the pressure