All Problems

Elastic Waves. Acoustics.

Problem 4.186

A ball of radius \(R=50 \mathrm{~cm}\) is located in the way of propagation of a plane sound wave. The sonic wavelength is \(\lambda=20 \mathrm{~cm}\) the frequency is \(v=1700 \mathrm{~Hz},\) the pressure oscillation amplitude in air is \((\Delta p)_{m}=3.5 \mathrm{~Pa}\). Find the mean energy flow, averaged over an oscillation period, reaching the surface of the ball.

Reveal Answer
Φ=πR2(Δp)m2/2ρvλ=11 mW\langle\Phi\rangle=\pi R^{2}(\Delta p)_{m}^{2} / 2 \rho v \lambda=11 \mathrm{~mW}