A steel cable on a bridge has a linear mass density of 15 kg/m. If the cable has been pulled taunt with a tension of 6,545 N, what is the speed of a wave on it?

Respuesta :

The wave is a transverse wave. The formula for calculating the speed of transverse wave is expressed as

[tex]\begin{gathered} v\text{ = }\sqrt[]{\frac{T}{\mu}} \\ \text{where} \\ T\text{ = tension }on\text{ the wire} \\ \mu\text{ = mass per unit length} \\ \text{From the information given, } \\ \mu\text{ = 15} \\ T\text{ = 6545} \\ v\text{ = }\sqrt[]{\frac{6545}{15}}\text{ =20.89} \end{gathered}[/tex]

Speed of wave = 20.89 m/s