Answer:
[tex]A = \frac{g \lambda^2 \mu}{4\pi^2 T_s}[/tex]
Explanation:
As we know that the speed of the wave in string is given as
[tex]v = \sqrt{\frac{T_s}{\mu}}[/tex]
now we will have
frequency of the wave is given as
[tex]f = \frac{v}{\lambda}[/tex]
[tex]f = \frac{1}{\lambda}\sqrt{\frac{T_s}{\mu}}[/tex]
now if the ant will feel weightlessness then we will have
[tex]mg = m\omega^2 A[/tex]
so we will have
[tex]A = \frac{g}{\omega^2}[/tex]
[tex]A = \frac{g}{4\pi^2 f^2}[/tex]
[tex]A = \frac{g \lambda^2 \mu}{4\pi^2 T_s}[/tex]
