Use the picture as a guide. P is the pressure in the pipe, and v¡ is the speed of a non-viscous incompressible fluid at locations i = 1,2,3,4,5.(For each statement select correctly) Delmm D-2mm P4 is P3 is P1 is V V4 is P1 is V1 is P5. P4. P4. Greater than v .... True .... False False V5. P2. 2v3. .... True .... False .... E> || >|| > || >
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can you answer these qustions using, true, false, greater than, less than or equal to
![**Transcription and Explanation:**
**Header**:
Use the picture as a guide. \( P \) is the pressure in the pipe, and \( v_i \) is the speed of a non-viscous incompressible fluid at locations \( i = 1, 2, 3, 4, 5 \). (For each statement select correctly)
**Diagram**:
The diagram depicts a pipe with varying diameters and curves. Key points on the pipe are numbered 1 through 5:
- At position 1, the diameter is \( D = 1 \, \text{mm} \).
- At position 3, the diameter is \( D = 2 \, \text{mm} \).
- The pipe has bends and changes in elevation, affecting the pressure and velocity of the fluid.
**Statements and Selections**:
1. **Pressure Comparison:**
- \( P_4 \) is greater than \( P_5 \).
2. **True/False Selections:**
- \( P_3 \) is true for comparison to \( P_4 \).
- \( P_1 \) is false for comparison to \( P_4 \).
- \( V_4 \) is false for comparison to \( V_5 \).
- \( P_1 \) is true for comparison to \( P_2 \).
- \( V_1 \) is false for being equal to \( 2V_3 \).
- \( V_1 \) is true for comparison to \( V_2 \).
**Explanation**:
The scenario illustrated involves the principles of fluid dynamics, where changes in pipe diameter and elevation affect the pressure and velocity of a fluid. According to Bernoulli’s principle, in areas where the pipe’s diameter is smaller, the velocity of the fluid is higher, and the pressure is lower. This exercise tests your understanding of these concepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffef29e8a-9cde-4dab-a8ca-f9b40140f207%2F0aea3e9c-5d84-4901-9dd6-791a06c00b02%2F1nutnp_processed.jpeg&w=3840&q=75)
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