A 2.0-m long piano string of mass 10 g is under a tension of 338 n. find the speed with which a wave travels on this string.

In physics lecture, we know that the formula for wave speed on a harmonic series is given as:

v = sqrt (T / (M/L))

Where,

v = wave velocity in m / s = unknown

T = tension force in Newtons = 338 N

M/L = mass per unit length in kg / m = 0.01 kg / 2 m = 0.005 kg / m

Therefore substituting the given values to the equation will result in:

v = sqrt (338 N / (0.005 kg / m))

v = sqrt (67,600 m^2 / s^2)

v = 260 m / s