# physics

Calculate the speed of a wave in m/s along a taut string with tension 139 Newtons and a mass per unit length of 3.6 grams per metre.

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1. The fundamental frequency of a wave along a taut string is
f=√(T/m)/(2L)
T=tension in N
m=mass of string in kg/m
Since the fundamental mode of vibration consists of only half a wave, the wave velocity is f*2L, or
λ=√(T/m).
Here N=139 N, m=0.0036 kg/m
v=√(139/0.0036)= 196.5 m/s

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