All Problems

Elastic Waves. Acoustics.

Problem 4.177

A source of sonic oscillations with frequency v0=1700 Hzv_{0}=1700 \mathrm{~Hz} and a receiver are located at the same point. At the moment t=0t=0 the source starts receding from the receiver with constant acceleration w=10.0 m/s2.w=10.0 \mathrm{~m} / \mathrm{s}^{2} . Assuming the velocity of sound to be equal to v=340 m/s,v=340 \mathrm{~m} / \mathrm{s}, find the oscillation frequency registered by the stationary receiver t=10.0 st=10.0 \mathrm{~s} after the start of motion.

Reveal Answer
v=v0/1+2wt/v=1.35kHv=v_{0} / \sqrt{1+2 w t / v}=1.35 \mathrm{kH}