All Problems

Elastic Waves. Acoustics.

Problem 4.168

Determine in what way and how many times will the fundamental tone frequency of a stretched wire change if its length is shortened by \(35 \%\) and the tension increased by \(70 \%\)

Reveal Answer
 Will increase η=1ΔT/T1+Δl/l=2 times. \text { Will increase } \eta=\frac{\sqrt{1-\Delta T / T}}{1+\Delta l / l}=2 \text { times. }