(Figure 1) shows a section of a long tube that narrows near its open end to a diameter of 2.0 mm. Water at 20°C flows out of the open end at 0.030 L/s. Part A What is the gauge pressure at point P, where the diameter is 4.0 mm ? The viscosity of water is 1.0 x 10-3 Pa ·s Express your answer in pascals. ? Ap = Pa Figure <) 1 of 1 Submit Previous Answers Request Answer 1.0 m 1.0 m Provide Feedback Next P

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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### Understanding Fluid Flow Through Tubes

**Description:**

This educational module provides a visual and analytical exploration of fluid dynamics within a tube. The scenario involves a section of a long tube that narrows to a diameter of 2.0 mm near its open end. Water at 20°C flows out of the open end at a rate of 0.030 L/s.

**Figure Analysis:**

- The diagram depicts a horizontal tube divided into two main segments, each 1.0 meter in length.
- The tube initially has a larger diameter where point P is marked, indicating the location where pressure is measured.
- The figure illustrates how the tube tapers to a smaller diameter, representing the exit point of the water flow.

**Problem Statement:**

**Part A:**
- **Objective:** Calculate the gauge pressure at point P, where the tube's diameter is 4.0 mm.
- **Given Data:**
  - Viscosity of water: \( \eta = 1.0 \times 10^{-3} \, \text{Pa} \cdot \text{s} \)
  - Flow rate: 0.030 L/s
- **Task:** Express the gauge pressure in Pascals.

**Interactive Section:**
- Input field provided for calculating and entering the pressure (\(\Delta p\)) in Pascals.
- Action buttons include "Submit" for answers, with options for reviewing previous answers and requesting solutions.

This module is designed to reinforce the understanding of fluid dynamics principles, particularly the calculation of pressure and its relation to flow and viscosity.
Transcribed Image Text:### Understanding Fluid Flow Through Tubes **Description:** This educational module provides a visual and analytical exploration of fluid dynamics within a tube. The scenario involves a section of a long tube that narrows to a diameter of 2.0 mm near its open end. Water at 20°C flows out of the open end at a rate of 0.030 L/s. **Figure Analysis:** - The diagram depicts a horizontal tube divided into two main segments, each 1.0 meter in length. - The tube initially has a larger diameter where point P is marked, indicating the location where pressure is measured. - The figure illustrates how the tube tapers to a smaller diameter, representing the exit point of the water flow. **Problem Statement:** **Part A:** - **Objective:** Calculate the gauge pressure at point P, where the tube's diameter is 4.0 mm. - **Given Data:** - Viscosity of water: \( \eta = 1.0 \times 10^{-3} \, \text{Pa} \cdot \text{s} \) - Flow rate: 0.030 L/s - **Task:** Express the gauge pressure in Pascals. **Interactive Section:** - Input field provided for calculating and entering the pressure (\(\Delta p\)) in Pascals. - Action buttons include "Submit" for answers, with options for reviewing previous answers and requesting solutions. This module is designed to reinforce the understanding of fluid dynamics principles, particularly the calculation of pressure and its relation to flow and viscosity.
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