Vibrations and Waves for the Health Science Major Mark W. Plano Clark Doane College February 2002 Supported in part by NSF DUE0088712 Overview • • • • Develop an introductory physics curriculum Who: Health science majors Why: Students see little relevance to goals What: – – – – – Intrinsically motivating activities interactive engagement Problem solving strategy Multimedia Mathematical modeling Speech and Hearing • Base the physics on the human body - the hook! • Physics topics in this module: vibrations, waves, standing waves, Hooke’s Law, pressure, fluid flow, Bernoulli's principle • Emphasize mathematical modeling, problem solving, multimedia Motivation - The hook! • Thanks Chris Wentworth and his nose! Exploration • How does the human vocal system produce such amazing sounds? – Feel your throat while making the following sounds • make soft sounds, loud sounds • sing a high note, a low note • say aaah, say eeeee Invention • Study the properties of a simple larynx/pharynx model • Make a loud sound, a soft sound • Produce a high pitched sound, a low one • Produce the same pitch with different levels of loudness • What’s happening…? More Multimedia • High speed digital video (DV) of vocal folds model • Follow one point along the edge of the “vocal folds” - vibration • Can we produce a simple mathematical model that approximates the motion? Vibrations - The Ruler Mathematical Model - SHO? • • • • Repetitive motion Collect data using VideoPoint - more later! Model the data in Excel Introduce the simple harmonic oscillator – x(t) = Asin(2ft) • How well did we do? Vibrating Ruler Amplitude (m) 0.1 0.05 0 0 0.05 0.1 0.15 0.2 -0.05 -0.1 Time (s) 0.25 0.3 0.35 Conclusions - so far…. • Students definitely enjoyed manipulating the larynx model! • Many experiments are standard physics experiments but more personal • Investigators (well some) enjoyed discovering human applications