Section 5.6: Modeling Harmonic Motion

1. State the equation for simple harmonic motion, and identify the amplitude, period, and frequency given the equation for simple harmonic motion.
2. Relate the angular frequency \(k\) of a sine wave to its temporal frequency, which we will denote by either \(\nu\) (the lowercase Greek letter nu) or \(f\). Your textbook calls temporal frequency simply ‘frequency’.
3. Identify the unit of frequency in the International System of Units.
4. State the equation for simple harmonic motion.
5. State the model for the displacement of a mass on a spring from its equilibrium position and identify the period, frequency, and amplitude of the mass’s motion.
6. Identify a model for a pure tone (sound), and identify how its parameters are related to loudness and tone.
7. Relate the frequency of a tone to the frequency of its octaves.