College

Cables supporting a suspension bridge have a linear mass density of [tex]3700 \, \text{kg/m}[/tex]; the tension is [tex]1.7 \times 10^8 \, \text{N}[/tex]. What would be the transverse wave speed in such a cable?

Answer :

Answer:

The speed is [tex]v = 214.35 \ m/s[/tex]

Explanation:

From the question we are told that

The linear mass density is [tex]\mu = 3700 \ kg/m[/tex]

The tension is [tex]T = 1.7*10^8 \ N[/tex]

The transverse wave speed is mathematically represented as

[tex]v = \sqrt{\frac{T}{\mu} }[/tex]

substituting values

[tex]v = \sqrt{\frac{1.7 *10^{8}}{3700} }[/tex]

[tex]v = 214.35 \ m/s[/tex]