- Sinusoidal waves have equations like
y(x, t) = A sin(k*x - omega*t)

- The speed of a wave may be expressed as
v = wavelength/period = wavelength*frequency

- If one holds time fixed, a sinosoidal wave has a repeating, sinusoidal shape as a function of position
- If one looks at a fixed position, a sinosoidal wave moves in a repeating, sinusoidal fashion as a function of time
- The angular wave number k is defined as
k = 2*pi/wavelength

- Partial derivatives involve holding all but a single variable fixed, and then looking at the effect of small changes in that one variable
- Taking the partial derivative of a sinusoidal wave equation with respect to time yields simple harmonic motion
- The power transmitted to a medium of linear mass density "mu"
as a wave passes through it is
Power = 0.5 * mu * omega^2 * A^2 * velocity

This lecture discusses material in Chapter 16 of Serway.

- Viewgraph 1
- Viewgraph 2
- Viewgraph 3
- Viewgraph 4
- Viewgraph 5
- Viewgraph 6
- Viewgraph 7
- Viewgraph 8
- Viewgraph 9
- Viewgraph 10
- Viewgraph 11
- Viewgraph 12
- Viewgraph 13
- Viewgraph 14
- Viewgraph 15

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.