The Humming Power Line · AI Generator #GEN-B3DDEDAD
Physics
Problem
High-voltage power lines sometimes produce an audible humming sound due to small vibrations caused by electromagnetic forces. Consider a horizontal power line cable with linear mass density μ=0.85kg/m suspended between two towers 240m apart. The cable hangs under its own weight with a tension of T=2800N at its lowest point.
When the electromagnetic forces cause the cable to vibrate in its fundamental mode (like a guitar string), it produces a low-frequency hum. Calculate the frequency of this fundamental vibration mode.