1. Student observed ten antinodes on a string of length 1.70 m under tension pro

Question

1. Student observed ten antinodes on a string of length 1.70 m under tension produced by a mass of 0.22 kg. The string linear density is 1.3 gram/meter. What is the difference between the transverse wave velocity calculated from the string material properties and the one following from the standing wave configuration?

2. The experimental strings are not ideally rigid, and have some elasticity: the stronger the pull, the bigger the elongation. What is the effect on the transverse wave velocity as compared to the transverse wave velocity in an ideal string?

Explanation / Answer

Linear density for string
mu =1.3 g/m=1.3*10-3kg/m
Tension on string
T=.22*9.8= 2.16N
Wave speed on string
v=root(T/mu)= 40.72 m/s
Wave length
f=v/2L = 11.97

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