All Problems

Elastic Waves. Acoustics.

Problem 4.184

An observer AA located at a distance rA=5,0 mr_{A}=5,0 \mathrm{~m} from a ringing tuning fork notes the sound to fade away τ=19 s\tau=19 \mathrm{~s} later than an observer BB who is located at a distance rB=50 mr_{B}=50 \mathrm{~m} from the tuning fork. Find the damping coefficient β\beta of oscillations of the tuning fork. The sound velocity v=340 m/sv=340 \mathrm{~m} / \mathrm{s}.

Reveal Answer
β=ln⁡(rB/rA)/[τ+(rB−rA)/v]=0.12 s−1\beta=\ln \left(r_{B} / r_{A}\right) /\left[\tau+\left(r_{B}-r_{A}\right) / v\right]=0.12 \mathrm{~s}^{-1}
Prev
Next