Homework Help is Here – Start Your Trial Now!
Science
Physics
Part A - Practice Problem: Determine the gauge pressure for a 1.0-cm-diameter faucet located next to the washing machine in the basement, 2.6 m below where the pipe enters the house. Express your answer with the appropriate units. ?

Part A - Practice Problem: Determine the gauge pressure for a 1.0-cm-diameter faucet located next to the washing machine in the basement, 2.6 m below where the pipe enters the house. Express your answer with the appropriate units. ?

College Physics
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)...
See similar textbooks
icon
Related questions
Question
10:38 PM Fri Apr 22 69% Books & Tools b https://www.bartleby.com X MasteringPhysics: Home X G A piece of wood is floatin X + A session.masteringphysics.com 4 <Homework 5 PHY 201 Spring - Attempt 1 Practice Problem 13.09 - Enhanced - with Feedback 14 of 15 SOLVE From the continuity equation, the flow speed v2 in the bathroom is A1 V2 = T(1.0 cm)? T(0.50 cm)? (2.0 m/s) = 8.0 m/s. From Bernoulli's equation, the gauge pressure p2 in the bathroom is pi - 5e(v2? – vi?) – pg(y2 – y1) P2 4.0 × 105 Pa = -5(1.0 x 10° kg/m³)(64 m² /s² – 4.0 m² /s²) 2 -(1.0 x 10° kg/m³)(9.80 m/s²)(5.0 m) 3.2 x 105 Pa 3.2 atm = 47 lb/in.? (gauge pressure). The volume flow rate is A2 v2 = T(0.50 × 10-2 m)² (8.0 m/s) 6.3 x 10-4 m³ /s = 0.63 L/s. AV/At The time needed to fill the tub is 100 L/(0.63 L/s) = 160 s. REFLECT Note that when the water is turned off, the second term on the right of the pressure equation vanishes, and the pressure rises to 3.5 × 10° Pa. In fact, when the fluid is not moving, Bernoulli's equation reduces to the pressure relationship that we derived for a fluid at rest. Part A - Practice Problem: Determine the gauge pressure for a 1.0-cm-diameter faucet located next to the washing machine in the basement, 2.6 m below where the pipe enters the house. Express your answer with the appropriate units. HÀ Value Units Submit Request Answer Provide Feedback Next
Transcribed Image Text:10:38 PM Fri Apr 22 69% Books & Tools b https://www.bartleby.com X MasteringPhysics: Home X G A piece of wood is floatin X + A session.masteringphysics.com 4 <Homework 5 PHY 201 Spring - Attempt 1 Practice Problem 13.09 - Enhanced - with Feedback 14 of 15 SOLVE From the continuity equation, the flow speed v2 in the bathroom is A1 V2 = T(1.0 cm)? T(0.50 cm)? (2.0 m/s) = 8.0 m/s. From Bernoulli's equation, the gauge pressure p2 in the bathroom is pi - 5e(v2? – vi?) – pg(y2 – y1) P2 4.0 × 105 Pa = -5(1.0 x 10° kg/m³)(64 m² /s² – 4.0 m² /s²) 2 -(1.0 x 10° kg/m³)(9.80 m/s²)(5.0 m) 3.2 x 105 Pa 3.2 atm = 47 lb/in.? (gauge pressure). The volume flow rate is A2 v2 = T(0.50 × 10-2 m)² (8.0 m/s) 6.3 x 10-4 m³ /s = 0.63 L/s. AV/At The time needed to fill the tub is 100 L/(0.63 L/s) = 160 s. REFLECT Note that when the water is turned off, the second term on the right of the pressure equation vanishes, and the pressure rises to 3.5 × 10° Pa. In fact, when the fluid is not moving, Bernoulli's equation reduces to the pressure relationship that we derived for a fluid at rest. Part A - Practice Problem: Determine the gauge pressure for a 1.0-cm-diameter faucet located next to the washing machine in the basement, 2.6 m below where the pipe enters the house. Express your answer with the appropriate units. HÀ Value Units Submit Request Answer Provide Feedback Next
Let's begin by looking at a flow problem in which the diameter of a pipe changes along the flow path. We will need to use both the continuity equation and Bernoulli's equation for this problem. Water enters a house through a pipe with an inside diameter of 2.0 cm at a gauge pressure of 4.0 × 10° Pa (about 4 atm, or 60 lb/in.2). The cold-water pipe leading to the second-floor bathroom 5.0 m above is 1.0 cm in diameter . Find the flow speed and gauge pressure in the bathroom when the flow speed at the inlet pipe is 2.0 m/s. How much time would be required to fill a 100 L bathtub with cold water? To second floor (1 cm pipe) 5.0 m From water Hot-water supply (2 cm pipe) tank SOLUTION SET UP Let point 1 be at the inlet pipe and point 2 at the bathroom. The speed v2 of the water at the bathroom is obtained from the continuity equation, A1V1 = A2v2. We take y1 bathroom. We are given pi and v1; we can find p2 from Bernoulli's equation. To find the time required to fill the bathtub, we use the volume flow-rate relationship AV/At = Av. The bathtub's volume is 100 L = 100 × 10-3 m³. 0 at the inlet and y2 :5.0 m at the SOLVE From the continuity equation, the flow speed v2 in the bathroom is T(1.0 cm)? A1 V1 = A2 (2.0 m/s) = 8.0 m/s. V2 = 7(0.50 cm)? From Bernoulli's equation, the gauge pressure p2 in the bathroom is P1 – 5P(v2² – vi²) – eg(y2 – y1) P2 4.0 × 105 Pa -(1.0 x 10° kg/m³)(64 m² /s² – 4.0 m² /s²) 2 -(1.0 x 10° kg/m³)(9.80 m/s²)(5.0 m) 3.2 x 105 Pa 3.2 atm 47 lb/in.? (gauge pressure). The volume flow rate is AVLA
Transcribed Image Text:Let's begin by looking at a flow problem in which the diameter of a pipe changes along the flow path. We will need to use both the continuity equation and Bernoulli's equation for this problem. Water enters a house through a pipe with an inside diameter of 2.0 cm at a gauge pressure of 4.0 × 10° Pa (about 4 atm, or 60 lb/in.2). The cold-water pipe leading to the second-floor bathroom 5.0 m above is 1.0 cm in diameter . Find the flow speed and gauge pressure in the bathroom when the flow speed at the inlet pipe is 2.0 m/s. How much time would be required to fill a 100 L bathtub with cold water? To second floor (1 cm pipe) 5.0 m From water Hot-water supply (2 cm pipe) tank SOLUTION SET UP Let point 1 be at the inlet pipe and point 2 at the bathroom. The speed v2 of the water at the bathroom is obtained from the continuity equation, A1V1 = A2v2. We take y1 bathroom. We are given pi and v1; we can find p2 from Bernoulli's equation. To find the time required to fill the bathtub, we use the volume flow-rate relationship AV/At = Av. The bathtub's volume is 100 L = 100 × 10-3 m³. 0 at the inlet and y2 :5.0 m at the SOLVE From the continuity equation, the flow speed v2 in the bathroom is T(1.0 cm)? A1 V1 = A2 (2.0 m/s) = 8.0 m/s. V2 = 7(0.50 cm)? From Bernoulli's equation, the gauge pressure p2 in the bathroom is P1 – 5P(v2² – vi²) – eg(y2 – y1) P2 4.0 × 105 Pa -(1.0 x 10° kg/m³)(64 m² /s² – 4.0 m² /s²) 2 -(1.0 x 10° kg/m³)(9.80 m/s²)(5.0 m) 3.2 x 105 Pa 3.2 atm 47 lb/in.? (gauge pressure). The volume flow rate is AVLA
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Variation of pressure
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.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS