Question

A piano string having a mass per unit length equal to 4.80 ✕ 10−3 kg/m is under a tension of 1,200 N. Find the speed with which a wave travels on this string.

Answer 1

Answer:

500 m/s

Explanation:

From the question,

V = √(T/m')................. Equation 1

Where V = Speed with which the wave travels on the string, T = Tension of the string, m' = Mass per unit length of the string.

Given: T = 1200 N, m' = 4.80×10⁻³ kg/m

Substitute these values into equation 1

V = √(1200/4.80×10⁻³)

V = √(250000)

V = 500 m/s

Hence the speed of the wave in the string is 500 m/s