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- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/17%3A_Sound/17.06%3A_Sources_of_Musical_SoundSome musical instruments can be modeled as pipes that have symmetrical boundary conditions: open/closed at both ends. Others can be modeled as pipes that have anti-symmetrical boundary conditions: clo...Some musical instruments can be modeled as pipes that have symmetrical boundary conditions: open/closed at both ends. Others can be modeled as pipes that have anti-symmetrical boundary conditions: closed at one end and open at the other. String instruments produce sound using a vibrating string with nodes at each end. The air around the string oscillates at the string's frequency. The relationship for the frequencies for the string is similar to the symmetrical boundary conditions of the pipe.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/12%3A_Waves/12.10%3A_Sources_of_Musical_SoundUse f n = \(n \frac{v}{4L}\) to find the fundamental frequency (n = 1), $f_{1} = \frac{v}{4L} \ldotp$Solve this equation for length, $L = \frac{v}{4f_{1}} \ldotp$Find the speed of sound using v = (331...Use f n = \(n \frac{v}{4L}\) to find the fundamental frequency (n = 1), $f_{1} = \frac{v}{4L} \ldotp$Solve this equation for length, $L = \frac{v}{4f_{1}} \ldotp$Find the speed of sound using v = (331 m/s)\(\sqrt{\frac{T}{273\; K}}\),$v = (331\; m/s) \sqrt{\frac{295\; K}{273\; K}} = 344\; m/s \ldotp$Enter the values of the speed of sound and frequency into the expression for L.$L = \frac{v}{4f_{1}} = \frac{344\; m/s}{4(128\; Hz)} =0.672\; m$
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/06%3A_Module_5_-_Oscillations_Waves_and_Sound/6.05%3A_Objective_5.b./6.5.08%3A_Sources_of_Musical_SoundSome musical instruments can be modeled as pipes that have symmetrical boundary conditions: open/closed at both ends. Others can be modeled as pipes that have anti-symmetrical boundary conditions: clo...Some musical instruments can be modeled as pipes that have symmetrical boundary conditions: open/closed at both ends. Others can be modeled as pipes that have anti-symmetrical boundary conditions: closed at one end and open at the other. String instruments produce sound using a vibrating string with nodes at each end. The air around the string oscillates at the string's frequency. The relationship for the frequencies for the string is similar to the symmetrical boundary conditions of the pipe.
