diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 1a2508a..ffebfa8 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -659,6 +659,9 @@ For observable diffraction, the wavelength must be greater than or equal to the A standing wave does not travel, so no energy is transferred. They are caused by the interference of symmetrical travelling waves moving in opposite directions. +!!! definition + **Resonance** is when an external driver oscillating at a system's natural frequency transfers energy into the system, in this case a standing wave. + The locations of zero amplitude are called **nodes** and the locations of maximum amplitude are **anti-nodes**. Adjacent nodes are separated by $\frac{\lambda}{2}$. The wave speed is determined by the medium and the wavelengths of standing waves that fit on the medium are determined by the length of the medium. @@ -671,6 +674,12 @@ $$ f_n=\frac{nv}{2L} $$ +Inside an **air column**, the difference in pressure allows for the formation of standing waves as waves reflect off of the interface where air changes pressure. A closed end must have nodes while open ends must have antinodes. + +(Source: Kognity) + +Resonance occurs in an air column when the length of the open tube is a multiple of half the wavelength of the sound. **Resonant lengths** occur at each antinode. + ## 6.1 - Circular motion Circular motion is any motion along a circular path. The instantaneous velocity of an object in circular motion at any point is always tangent to its point on the circle, so the difference between any two velocities ($\Delta \vec{v}$) is radial (lies along the radius).