16.6 Exercise 10

A cable with a linear density of $\mu = 0.02 \text{kg}/\text{m}$ is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The speed of sound at the current temperature $T = 20 ° \text{C}$ is $343.00 \text{m}/\text{s}$. What are the frequency and wavelength of the hum?