Final answer:
The pattern of standing waves in a pipe open at both ends features antinodes at each end and is used to calculate resonant frequencies for musical instruments like flutes and oboes.
Step-by-step explanation:
The pattern of standing waves that can occur in a pipe open at both ends is the same as the pattern seen in other types of resonant systems with symmetrical boundary conditions. In such pipes, you'll find antinodes at both ends, which is where the air displacement is at a maximum. This contrasts with a pipe that is closed at one end, where a node occurs at the closed end and an antinode at the open end.
Resonant frequencies in a pipe open at both ends can be calculated with an understanding that these frequencies are the ones at which standing waves perfectly fit inside the pipe, with antinodes coinciding with the open ends. Instruments like flutes, oboes, and some organ pipes utilize this principle to produce sound. The standing waves can be visualized as in Figure 17.30, demonstrating the resonance condition within such tubes.