Water is traveling through a horizontal pipe with a speed of 1.9 m/s and at a pressure of 200 kPa. This pipe is reduced to a new pipe which has a diameter half that of the first section of pipe. Determine the speed and pressure of the water in the new, reduced in size pipe. (a) speed m/s (b) pressure |kPa
Water is traveling through a horizontal pipe with a speed of 1.9 m/s and at a pressure of 200 kPa. This pipe is reduced to a new pipe which has a diameter half that of the first section of pipe. Determine the speed and pressure of the water in the new, reduced in size pipe. (a) speed m/s (b) pressure |kPa
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
![**Problem Statement:**
Water is traveling through a horizontal pipe with a speed of 1.9 m/s and at a pressure of 200 kPa. This pipe is reduced to a new pipe which has a diameter half that of the first section of pipe. Determine the speed and pressure of the water in the new, reduced in size pipe.
**Questions:**
(a) Speed
[ ] m/s
(b) Pressure
[ ] kPa
**Explanation:**
This problem involves fluid dynamics, specifically the principles of continuity and Bernoulli's equation. The continuity equation will help determine the speed of the water in the reduced pipe, while Bernoulli’s equation will help find the pressure. The key concepts to apply here are:
1. **Continuity Equation:** \( A_1V_1 = A_2V_2 \)
- Where \( A \) is the cross-sectional area of the pipe, and \( V \) is the velocity of the fluid.
2. **Bernoulli's Equation:** \( P_1 + \frac{1}{2}\rho V_1^2 = P_2 + \frac{1}{2}\rho V_2^2 \)
- Where \( P \) is the pressure, \( \rho \) is the fluid density, and \( V \) is velocity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1def9bcf-e0b6-4f3f-82a1-faee2a34286b%2F681e76bf-0d8f-4656-9365-8953864199f8%2Fwc9xdj6_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Water is traveling through a horizontal pipe with a speed of 1.9 m/s and at a pressure of 200 kPa. This pipe is reduced to a new pipe which has a diameter half that of the first section of pipe. Determine the speed and pressure of the water in the new, reduced in size pipe.
**Questions:**
(a) Speed
[ ] m/s
(b) Pressure
[ ] kPa
**Explanation:**
This problem involves fluid dynamics, specifically the principles of continuity and Bernoulli's equation. The continuity equation will help determine the speed of the water in the reduced pipe, while Bernoulli’s equation will help find the pressure. The key concepts to apply here are:
1. **Continuity Equation:** \( A_1V_1 = A_2V_2 \)
- Where \( A \) is the cross-sectional area of the pipe, and \( V \) is the velocity of the fluid.
2. **Bernoulli's Equation:** \( P_1 + \frac{1}{2}\rho V_1^2 = P_2 + \frac{1}{2}\rho V_2^2 \)
- Where \( P \) is the pressure, \( \rho \) is the fluid density, and \( V \) is velocity.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley

College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON