CHAPTER 16. THE PHYSICS OF MUSIC 16.3
This chart shows some standing waves in a pipeopen at both ends. Thepipe (shown with
dashed lines) has lengthL.- Fill in the:
- number of nodes
- number of anti-nodes
- wavelength in terms of L
The first and last wavesare done for you.
Wave Nodes Antinodes Wavelength
1 2 2 L
4 5 L 2
- Use the chart to finda formula for the wavelength in terms of the number of nodes.
The formula is differentbecause there are moreanti-nodes than nodes. The right formula is:
λn=2 L
n
Here, n is still the number of nodes.
Example 2: The Organ Pipe
QUESTIONAn open organ pipe is 0,853 m long. The speedof sound in air is 345 m.s−^1. Can this pipe
play middle C? (MiddleC has a frequency of about 262 Hz)0,853 m