Homework Help is Here – Start Your Trial Now!
Science
Physics
When water drains out of a hole in the bottom of a tank, the stream radius contracts as the speed of the water increases. Assume that the stream starts with zero water velocity at the top of the tank, at a height H above the hole, and ignore all instabilities that will lead to breakup of the stream (turbulence, etc.). Find the distance d beneath the hole at which the radius of the stream is 80% of the hole radius. [Ans: 1.44 H]

When water drains out of a hole in the bottom of a tank, the stream radius contracts as the speed of the water increases. Assume that the stream starts with zero water velocity at the top of the tank, at a height H above the hole, and ignore all instabilities that will lead to breakup of the stream (turbulence, etc.). Find the distance d beneath the hole at which the radius of the stream is 80% of the hole radius. [Ans: 1.44 H]

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
Number 2 please and explain how you got the answer Thankyou
### Exercise 1 **Description:** Water flows out of a hole in the side of a large tank at a distance \( h \) below the water surface as shown. The tank is open at the top. **Tasks:** (a) Show that the speed of the water emerging from the hole is \( v^2 = 2gh \). (b) If the water were aimed straight upward coming out of the hole, to what height would it rise? **Diagram Explanation:** A diagram is shown with a large tank filled with water. There is a hole on the side of the tank at a distance \( h \) below the water surface. Water flows out of this hole at velocity \( v \). --- ### Exercise 2 **Description:** When water drains out of a hole in the bottom of a tank, the stream radius contracts as the speed of the water increases. Assume that the stream starts with zero water velocity at the top of the tank, at a height \( H \) above the hole, and ignore all instabilities that will lead to breakup of the stream (turbulence, etc.). **Task:** Find the distance \( d \) beneath the hole at which the radius of the stream is 80% of the hole radius. - **Answer:** \( d = 1.44H \) --- ### Exercise 3 **Description:** A siphon is a device for removing liquid from a container that is not to be tipped. It operates as shown. The tube must be initially filled, but once this has been done the liquid will flow until its level drops below the tube opening at \( A \). The liquid has density \( \rho \) and negligible viscosity. **Diagram Explanation:** The siphon diagram shows a U-shaped tube with points labeled \( A \) and \( B \). The tube is initially filled with liquid, allowing it to siphon the liquid out of the container. These exercises are designed to explore fluid dynamics concepts such as Torricelli's Law and the function of a siphon.
Transcribed Image Text:### Exercise 1 **Description:** Water flows out of a hole in the side of a large tank at a distance \( h \) below the water surface as shown. The tank is open at the top. **Tasks:** (a) Show that the speed of the water emerging from the hole is \( v^2 = 2gh \). (b) If the water were aimed straight upward coming out of the hole, to what height would it rise? **Diagram Explanation:** A diagram is shown with a large tank filled with water. There is a hole on the side of the tank at a distance \( h \) below the water surface. Water flows out of this hole at velocity \( v \). --- ### Exercise 2 **Description:** When water drains out of a hole in the bottom of a tank, the stream radius contracts as the speed of the water increases. Assume that the stream starts with zero water velocity at the top of the tank, at a height \( H \) above the hole, and ignore all instabilities that will lead to breakup of the stream (turbulence, etc.). **Task:** Find the distance \( d \) beneath the hole at which the radius of the stream is 80% of the hole radius. - **Answer:** \( d = 1.44H \) --- ### Exercise 3 **Description:** A siphon is a device for removing liquid from a container that is not to be tipped. It operates as shown. The tube must be initially filled, but once this has been done the liquid will flow until its level drops below the tube opening at \( A \). The liquid has density \( \rho \) and negligible viscosity. **Diagram Explanation:** The siphon diagram shows a U-shaped tube with points labeled \( A \) and \( B \). The tube is initially filled with liquid, allowing it to siphon the liquid out of the container. These exercises are designed to explore fluid dynamics concepts such as Torricelli's Law and the function of a siphon.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Relativistic speed and time
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