Complete Question
The speed of a transverse wave on a string of length L and mass m under T is given by the formula
[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]
If the maximum tension in the simulation is 10.0 N, what is the linear mass density (m/L) of the string
Answer:
[tex](m/l)=\frac{10}{V^2}[/tex]
Explanation:
From the question we are told that
Speed of a transverse wave given by
[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]
Maximum Tension is [tex]T=10.0N[/tex]
Generally making [tex](m/l)[/tex] subject from the equation mathematically we have
[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]
[tex]v^2=\frac{T}{(m/l)}[/tex]
[tex](m/l)=\frac{T}{V^2}[/tex]
[tex](m/l)=\frac{10}{V^2}[/tex]
Therefore the Linear mass in terms of Velocity is given by
[tex](m/l)=\frac{10}{V^2}[/tex]