Solution Found!
A dramatic demonstration, called “singing rods,” involves
Chapter 13, Problem 90GP(choose chapter or problem)
A dramatic demonstration, called “singing rods,” involves a long, slender aluminum rod held in the hand near the rod’s midpoint. The rod is stroked with the other hand. With a little practice, the rod can be made to “sing,” or emit a clear, loud, ringing sound. For a 90-cm-long rod, (a) what is the fundamental frequency of the sound? (b) What is its wavelength in the rod, and (c) what is the traveling wavelength in air at \(20^\circ \mathrm C\)?
Questions & Answers
QUESTION:
A dramatic demonstration, called “singing rods,” involves a long, slender aluminum rod held in the hand near the rod’s midpoint. The rod is stroked with the other hand. With a little practice, the rod can be made to “sing,” or emit a clear, loud, ringing sound. For a 90-cm-long rod, (a) what is the fundamental frequency of the sound? (b) What is its wavelength in the rod, and (c) what is the traveling wavelength in air at \(20^\circ \mathrm C\)?
ANSWER:Step 1 of 3
(a)
Let us assume that the speed of the sound in aluminium is 
Length of the rod;
Wavelength
Fundamental frequency is given by;
Therefore the fundamental frequency of the sound is 