In this lesson Chad provides a lesson on Standing Waves. An introduction first explains the condition of resonance that leads to standing waves along with the identification of both nodes and antinodes in standing waves. Standing waves on a string fixed at both ends are covered first along with the derivation of the equations for both wavelength and frequency. The first few standing waves are drawn. The longest standing wave is referred to as the fundamental frequency or the first harmonic, while each successive standing wave is referred to as the second harmonic, third harmonic, etc. The lesson moves next to waves on a string fixed at one end and the derivation of the equations for both wavelength and frequency. It is also shown how the equations differ from the waves on a string fixed at both ends, and how only the odd harmonics exist (1st harmonic, 3rd harmonic, 5th harmonic, etc.).
The lesson moves on to a pipe open at both ends and a pipe closed at one end. Chad shows how the equations for the wavelengths and frequencies for a pipe open at both ends are the same as for the string fixed at both ends, and how the equations for a pipe closed at one end are the same as for a string fixed at one end. The lesson is concluded with the solving of a few physics standing waves practice problems.
00:00 Lesson Introduction
00:40 Introduction to Standing Waves
03:08 Standing Waves on a String Fixed at Both Ends
10:08 Standing Waves on a String Fixed at One End
13:45 Standing Waves in a Pipe Open at Both Ends or Closed at One End
15:46 Standing Waves Practice Problems
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