Tubes with anti-symmetrical boundary conditions

Definition

Tubes with anti-symmetrical boundary conditions are tubes in which one end is closed and the other end is open. These conditions create distinctive standing wave patterns and specific harmonic frequencies.

5 Must Know Facts For Your Next Test

1. The fundamental frequency of a tube with anti-symmetrical boundary conditions is determined by the length of the tube and the speed of sound in the medium inside the tube.
2. Only odd harmonics (1st, 3rd, 5th, etc.) are present in tubes with anti-symmetrical boundary conditions.
3. The wavelength of the fundamental frequency ($\lambda_1$) is four times the length of the tube: $\lambda_1 = 4L$ where $L$ is the length of the tube.
4. The second harmonic does not appear; instead, the next harmonic is three times the fundamental frequency ($f_3 = 3f_1$).
5. Pressure nodes occur at open ends while pressure antinodes occur at closed ends in such tubes.

Review Questions

• What type of harmonics are present in a tube with one closed end and one open end?
• How is the fundamental wavelength related to the length of a tube with anti-symmetrical boundary conditions?
• Where do pressure nodes and antinodes occur in tubes with anti-symmetrical boundary conditions?

Related terms

Standing Wave: A wave that remains stationary within a medium, characterized by nodes and antinodes.

Harmonics: Whole number multiples of a fundamental frequency produced by a vibrating system.

$\text{Fundamental Frequency}$: $\text{The lowest frequency at which a system oscillates.}$