The integration of physics, music, and mathematics has long been used to increase students' interest and motivation in these subjects. For example, previous articles in this journal have shown how to teach physical concepts in a musical context, use a smartphone to check the resonant frequencies of whistles, use a smartphone to examine the spectra…

Creating pleasant musical sounds by vibrating the strings of musical instruments such as guitars and violins is the result of the type of instrument played as well as the mastery of the player. This article explains the physics of vibrating strings caused either by a bow drawn over them or by being plucked, and provides a simple analysis to…

The goal of this dissertation project is to use embodied learning--an emerging approach to supporting student engagement--as a focal point to demonstrate how a multidimensional engagement framework can help us understand, evaluate, and design for new ways of learning. The project is situated in the context of third-grade students learning about…

Harmonics arise naturally from the resonances in strings and pipes. A video demonstration (Ruiz 2016 "YouTube: Tuba Harmonics" (https://youtu.be/souhEzOP9c4)) is provided where a tubist (coauthor Holmes) produces a phenomenal 24 harmonics using a single tuba pipe length by controlling the buzz of his lips. The frequencies of the…

The French horn is used to introduce the three basic properties of periodic waves: amplitude, frequency, and waveform. These features relate to the perceptual characteristics of loudness, pitch, and timbre encountered in everyday language. Visualizations are provided in the form of oscilloscope screenshots, spectrograms, and Fourier spectra to…

In a dramatic physics demonstration, a professional flutist produces four resonances with a 12 ounce Boylan soda bottle solely through her breath control. The 22cm bottle acts like a Helmholtz resonator for the lowest pitch. The three higher pitches fall near the 3rd, 5th, and 7th harmonics for a 22cm closed pipe. A video of this remarkable feat…

Quantum mechanics is a notoriously difficult subject to learn, due to a lack of real-world analogies that might help provide an intuitive grasp of the underlying ideas. Discrete energy levels and absorption and emission wavelengths in atoms are sometimes described as uniquely quantum phenomena, but are actually general to spatially confined waves…

The uniting of two seemingly disparate subjects in the classroom provides an interesting motivation for learning. Students are interested in how these subjects can possibly be integrated into related ideas. Such is the mixture of physics and music. Both are based upon mathematics, which becomes the interlocking theme. The connecting physical…

Producing a deep bass tone by striking a large 3 m (10 ft) flexible corrugated drainage pipe immediately grabs student attention. The fundamental pitch of the corrugated tube is found to be a semitone lower than a non-corrugated smooth pipe of the same length. A video (https://youtu.be/FU7a9d7N60Y) of the demonstration is included, which…

A simple pipe whistle can be made using pieces of PVC pipe. The whistle can be used to measure the resonant frequencies of open or closed pipes. A slightly modified version of the device can be used to also investigate the interesting dependence of the sound frequencies produced on the orifice-to-edge distance. The pipe whistle described here…

The physics of the plucked string has been treated in many articles and books. For our 12th-grade high school physics laboratory, we have built a cheap, simple sonometer apparatus for each pair of students on which they may investigate some interesting phenomena that arise when a string is plucked. Among these are the generation of harmonics…

The simultaneous sound of several voices or instruments requires proper tuning to achieve consonance for certain intervals and chords. Most instruments allow enough frequency variation to enable pure tuning while being played. Keyboard instruments such as organ and piano have given frequencies for individual notes and the tuning must be based on a…

Suggests using musical instruments to demonstrate physics concepts. Topics include: pitch and frequency; string vibrations; string-resonator system; wind instruments; harmonic content; transients; scales and temperament; psycho-acoustical affects; and electronic music. (SK)

Describes an improvised science lesson that grew out of elementary students' interests and questions about music and sound. Students designed, built, and performed with their own musical instruments. (WRM)