The following table values were obtained by measuring the velocity of the length flowing in a 10 cm half-length pipe at certain points. Here, r is the pipe length measurement of the measuring points, and V represents the measurement speeds. Obtain a force function that gives the Velocity distribution using all values.
The following table values were obtained by measuring the velocity of the length flowing in a 10 cm half-length pipe at certain points. Here, r is the pipe length measurement of the measuring points, and V represents the measurement speeds. Obtain a force function that gives the Velocity distribution using all values.
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The following table values were obtained by measuring the velocity of the length flowing in a 10 cm half-length pipe at certain points. Here, r is the pipe length measurement of the measuring points, and V represents the measurement speeds.
Obtain a force function that gives the Velocity distribution using all values.
please do not provide solution in image format thank you!
Transcribed Image Text:### Table Explanation
This table presents data for radius (r) in meters and velocity (V) in meters per second (m/s). It showcases variation in velocity depending on different values of radius.
| \( r \) (m) | 0 | 0.02 | 0.04 | 0.06 | 0.08 | 1 |
|-------------|------|--------|--------|--------|-------|----|
| \( V \) (m/s) | 5 | 4.817 | 4.592 | 4.292 | 3.823 | 0 |
#### Explanation of the Values:
- **\( r \) (m)**: Radius measured in meters. The values provided are **0**, **0.02**, **0.04**, **0.06**, **0.08**, **1**.
- **\( V \) (m/s)**: Velocity measured in meters per second. The corresponding values are **5**, **4.817**, **4.592**, **4.292**, **3.823**, **0**.
#### Detailed Insight:
- When the radius \( r \) is 0 meters, the velocity \( V \) is at its maximum with a value of 5 m/s.
- As the radius increases to 0.02 meters, the velocity slightly decreases to 4.817 m/s.
- This decreasing trend continues with increasing radius: at 0.04 meters the velocity is 4.592 m/s; at 0.06 meters the velocity drops to 4.292 m/s.
- At a radius of 0.08 meters, the velocity further falls to 3.823 m/s.
- Finally, when the radius is 1 meter, the velocity reaches its minimum value of 0 m/s.
This table can be used in an educational context to discuss the relationship between the radius and velocity, potentially relating to principles in physics such as circular motion dynamics or fluid dynamics.
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