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3. Water flows through a schedule-40 pipe that changes gradually in diameter from 6 in (154 mm) at point A to 18 in (429 mm) at point B. The volumetric flow rate is 5.0 ft³/sec (130 L/s). The respective pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All losses are insignificant. What are the direction of flow and velocity at point A? (A) 3.2 ft/sec (1 m/s); from A to B (B) 25 ft/sec (7.0 m/s); from A to B (C) 3.2 ft/sec (1 m/s); from B to A (D) 25 ft/sec (7.5 m/s); from A to B

3. Water flows through a schedule-40 pipe that changes gradually in diameter from 6 in (154 mm) at point A to 18 in (429 mm) at point B. The volumetric flow rate is 5.0 ft³/sec (130 L/s). The respective pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All losses are insignificant. What are the direction of flow and velocity at point A? (A) 3.2 ft/sec (1 m/s); from A to B (B) 25 ft/sec (7.0 m/s); from A to B (C) 3.2 ft/sec (1 m/s); from B to A (D) 25 ft/sec (7.5 m/s); from A to B

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** Water flows through a schedule-40 pipe that changes gradually in diameter from 6 inches (154 mm) at point A to 18 inches (429 mm) at point B. The volumetric flow rate is 5.0 ft³/sec (130 L/s). The respective pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All losses are insignificant. What are the direction of flow and velocity at point A? **Options:** (A) 3.2 ft/sec (1 m/s); from A to B (B) 25 ft/sec (7.0 m/s); from A to B (C) 3.2 ft/sec (1 m/s); from B to A (D) 25 ft/sec (7.5 m/s); from A to B **Explanation of Concepts:** - **Volumetric Flow Rate:** The volume of fluid that passes through a section of the pipe per unit time. - **Pressure Difference:** The change in pressure that drives the flow from high pressure to low pressure. - **Continuity Equation:** Ensures mass conservation in fluid dynamics; the flow rate must remain constant. - **Velocity Calculation:** Can be determined using the formula \( v = \frac{Q}{A} \), where \( v \) is velocity, \( Q \) is flow rate, and \( A \) is the cross-sectional area. **Solution Strategy:** 1. Calculate the cross-sectional area at point A. 2. Use the continuity equation to solve for velocity at point A. 3. Determine the direction of flow based on pressure differences (flow from high to low pressure). Engage with these ideas to understand the foundational principles of fluid dynamics.
Transcribed Image Text:**Problem Statement:** Water flows through a schedule-40 pipe that changes gradually in diameter from 6 inches (154 mm) at point A to 18 inches (429 mm) at point B. The volumetric flow rate is 5.0 ft³/sec (130 L/s). The respective pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All losses are insignificant. What are the direction of flow and velocity at point A? **Options:** (A) 3.2 ft/sec (1 m/s); from A to B (B) 25 ft/sec (7.0 m/s); from A to B (C) 3.2 ft/sec (1 m/s); from B to A (D) 25 ft/sec (7.5 m/s); from A to B **Explanation of Concepts:** - **Volumetric Flow Rate:** The volume of fluid that passes through a section of the pipe per unit time. - **Pressure Difference:** The change in pressure that drives the flow from high pressure to low pressure. - **Continuity Equation:** Ensures mass conservation in fluid dynamics; the flow rate must remain constant. - **Velocity Calculation:** Can be determined using the formula \( v = \frac{Q}{A} \), where \( v \) is velocity, \( Q \) is flow rate, and \( A \) is the cross-sectional area. **Solution Strategy:** 1. Calculate the cross-sectional area at point A. 2. Use the continuity equation to solve for velocity at point A. 3. Determine the direction of flow based on pressure differences (flow from high to low pressure). Engage with these ideas to understand the foundational principles of fluid dynamics.
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