A. Assuming this is a pressure diagram, is this an open pipe, closed pipe or double closed pipe? $$ \begin{array}{ll} ext { B. How many wavelengths are shown in the diagram? } & ext { E. What is the frequency? } \ ext { C. What fraction of the total length is one wavelength? } & ext { W. Which resonance is this? }\end{array} $$

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A. Assuming this is a pressure diagram, is this an open pipe, closed pipe or double closed pipe? $$ \begin{array}{ll}	ext { B. How many wavelengths are shown in the diagram? } & 	ext { E. What is the frequency? } \ 	ext { C. What fraction of the total length is one wavelength? } & 	ext { W. Which resonance is this? }\end{array} $$

UpStudy AI · Accepted Answer

To answer your questions, I would need to see the pressure diagram you are referring to. However, I can provide you with general guidelines on how to interpret a pressure diagram for an open pipe, closed pipe, or double closed pipe, as well as how to determine the number of wavelengths, frequency, fraction of total length for one wavelength, and the resonance type.

### A. Type of Pipe
1. **Open Pipe**: Both ends are open, and the pressure diagram will show antinodes (maximum pressure) at both ends.
2. **Closed Pipe**: One end is closed, and the pressure diagram will show a node (minimum pressure) at the closed end and an antinode at the open end.
3. **Double Closed Pipe**: Both ends are closed, and the pressure diagram will show nodes at both ends.

### B. Number of Wavelengths
To determine the number of wavelengths in the diagram, look for the repeating pattern of the pressure variations. Count how many complete cycles (one cycle consists of a crest and a trough) are present in the length of the pipe shown.

### C. Fraction of Total Length for One Wavelength
The fraction of the total length that corresponds to one wavelength can be calculated by measuring the length of one complete wavelength and dividing it by the total length of the pipe.

### E. Frequency
To find the frequency, you would need to know the speed of sound in the medium (usually air, approximately 343 m/s at room temperature) and the wavelength (λ). The frequency (f) can be calculated using the formula:
$$ f = \frac{v}{\lambda} $$
where $$ v $$ is the speed of sound and $$ \lambda $$ is the wavelength.

### W. Resonance Type
The resonance type can be determined based on the number of nodes and antinodes:
- For an open pipe, the resonances are at integer multiples of half wavelengths.
- For a closed pipe, the resonances occur at odd multiples of quarter wavelengths.

If you can provide the specific details or characteristics of the pressure diagram, I can give you more precise answers to each of these questions.
To identify the type of pipe, count the nodes and antinodes. For wavelengths, count the complete cycles. The fraction of the pipe for one wavelength is the length of one cycle divided by the total length. Frequency is calculated using the speed of sound and wavelength. Resonance type depends on the number of nodes and antinodes.

A. Assuming this is a pressure diagram, is this an open pipe, closed pipe or double closed pipe?

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