The velocity of water changes uniformly along the transition from VA = 10 m/s to VB = 4 m/s. Pw = 1000 kg/m³ . Assume the fluid is an ideal fluid, that is, incompressible and frictionless. (Figure 1) Part A Determine the pressure difference between A and x = 1.5 m. Express your answer using three significant figures. ? p(x) – PA = – 39875 Ра Submit Previous Answers Request Answer
The velocity of water changes uniformly along the transition from VA = 10 m/s to VB = 4 m/s. Pw = 1000 kg/m³ . Assume the fluid is an ideal fluid, that is, incompressible and frictionless. (Figure 1) Part A Determine the pressure difference between A and x = 1.5 m. Express your answer using three significant figures. ? p(x) – PA = – 39875 Ра Submit Previous Answers Request Answer
Chapter2: Loads On Structures
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![**Text on Image:**
The velocity of water changes uniformly along the transition from \( V_A = 10 \, \text{m/s} \) to \( V_B = 4 \, \text{m/s} \).
\( \rho_w = 1000 \, \text{kg/m}^3 \). Assume the fluid is an ideal fluid, that is, incompressible and frictionless. (Figure 1)
**Part A**
Determine the pressure difference between \( A \) and \( x = 1.5 \, \text{m} \).
Express your answer using three significant figures.
\[
p(x) - p_A = -39875 \, \text{Pa}
\]
Incorrect; Try Again; 5 attempts remaining
**Diagram Explanation:**
- The diagram illustrates a horizontal pipe with varying cross-sectional area between points \( A \) and \( B \).
- At the entrance (point \( A \)), the velocity of water is \( 10 \, \text{m/s} \).
- At the exit (point \( B \)), the velocity reduces to \( 4 \, \text{m/s} \).
- The length of the pipe between \( A \) and \( B \) is marked as \( 2 \, \text{m} \).
- The diagram shows a typical venturi tube with converging-diverging sections, indicating flow dynamics based on the principles of fluid mechanics.
This setup is commonly used to understand concepts related to Bernoulli’s equation, where pressure and velocity changes are analyzed in ideal fluid conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb0db590-5d37-48a1-bf5a-623f4987797d%2F6e6bf382-223a-4336-b6ac-bacf1ae74d5f%2F2dcmhs_processed.png&w=3840&q=75)
Transcribed Image Text:**Text on Image:**
The velocity of water changes uniformly along the transition from \( V_A = 10 \, \text{m/s} \) to \( V_B = 4 \, \text{m/s} \).
\( \rho_w = 1000 \, \text{kg/m}^3 \). Assume the fluid is an ideal fluid, that is, incompressible and frictionless. (Figure 1)
**Part A**
Determine the pressure difference between \( A \) and \( x = 1.5 \, \text{m} \).
Express your answer using three significant figures.
\[
p(x) - p_A = -39875 \, \text{Pa}
\]
Incorrect; Try Again; 5 attempts remaining
**Diagram Explanation:**
- The diagram illustrates a horizontal pipe with varying cross-sectional area between points \( A \) and \( B \).
- At the entrance (point \( A \)), the velocity of water is \( 10 \, \text{m/s} \).
- At the exit (point \( B \)), the velocity reduces to \( 4 \, \text{m/s} \).
- The length of the pipe between \( A \) and \( B \) is marked as \( 2 \, \text{m} \).
- The diagram shows a typical venturi tube with converging-diverging sections, indicating flow dynamics based on the principles of fluid mechanics.
This setup is commonly used to understand concepts related to Bernoulli’s equation, where pressure and velocity changes are analyzed in ideal fluid conditions.
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