Standing Waves In Organ Pipes - Closed & Open Tubes - Physics Problems | Summary and Q&A

TL;DR

Learn how to solve basic problems dealing with organ pipes, including calculating fundamental frequencies, harmonics, and wavelengths.

Key Insights

• 🫥 The fundamental frequency of an open pipe can be found using the equation nv / 2l, where n is the harmonic number, v is the speed of sound, and l is the length of the pipe.
• 🤗 The frequency of harmonics in open pipes is calculated by multiplying the fundamental frequency by the harmonic number.
• 😚 In closed pipes, the fundamental frequency is determined using the equation nv / 4l, where n is the harmonic number.
• 😚 The wavelength of different harmonics can be found using the equation 2l / n for closed pipes and n times the speed of sound divided by the frequency for open pipes.

Transcript

in this video i'm going to show you how to solve some basic problems dealing with organ pipes pipes that are open at both ends and the one that's closed or open at just one end so in this problem we have an organ pipe that is 0.85 meters long and it's open at both ends what is the fundamental frequency at a temperature of 15 degrees celsius well th... Read More

Questions & Answers

Q: How do you calculate the fundamental frequency of an organ pipe that is open at both ends?

To calculate the fundamental frequency of an open pipe, use the equation nv / 2l, where n is 1, the speed is determined by the temperature, and l is the length of the pipe.

Q: What is the frequency of the fourth harmonic in an open pipe?

The frequency of the fourth harmonic in an open pipe is four times the fundamental frequency. Multiply the fundamental frequency by 4 to find the frequency of the fourth harmonic.

Q: How do you find the wavelength of the second overtone in a closed organ pipe?

The wavelength of the second overtone in a closed pipe can be calculated using the equation 2l / n, where n is the harmonic number. In this case, n is 3, so the equation becomes 2l / 3.

Q: How can you determine if an organ pipe is open or closed based on the given harmonic frequencies?

By comparing the given harmonic frequencies, you can determine if the pipe is open or closed. If the difference between consecutive frequencies is constant, it is an open pipe. If the difference varies, it is a closed pipe.

Summary & Key Takeaways

• The video demonstrates how to solve problems related to organ pipes that are open at both ends and those that are closed or open at one end.

• It explains how to calculate the fundamental frequency using the equation nv / 2l for open pipes and nv / 4l for closed pipes.

• It also shows how to find the frequency of harmonics and the wavelength of different harmonics using various equations.