Buoyant force question: A cylindrically shaped object is placed into a glass of water as shown in the image below. If the radius of the cylinder is 0.2 meter and height of the cylinder is 0.50 meters, what is the magnitude of the buoyant force the object experiences. Give answer in Newton’s.

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)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Buoyant force question: A cylindrically shaped object is placed into a glass of water as shown in the image below. If the radius of the cylinder is 0.2 meter and height of the cylinder is 0.50 meters, what is the magnitude of the buoyant force the object experiences. Give answer in Newton’s.
### Understanding Buoyant Force in Fluids

In the given image, we see a diagram illustrating the concept of buoyant force acting on an object submerged in a fluid. Here's a detailed explanation:

#### Explanation of Diagram

The diagram shows a cross-sectional view of a cylindrical object (like a block) submerged in a liquid within a container. Several labels and measurements are indicated in the diagram.

1. **h₁ and h₂**: These labels represent the heights of the liquid column at two different points. 
   - \( h_1 \) is the height from the top surface of the liquid to the upper surface of the submerged object.
   - \( h_2 \) is the height from the top surface of the liquid to the bottom surface of the submerged object.
   
2. **Δh**: The difference in height (\( Δh \)) between \( h_1 \) and \( h_2 \). Mathematically, \( Δh = h_2 - h_1 \).

3. **F₁ and F₂**: These are forces acting on the object due to water pressure.
   - \( F₁ \) is the downward force exerted by the fluid pressure at the depth \( h_1 \).
   - \( F₂ \) is the upward force exerted by the fluid pressure at the depth \( h_2 \).

4. **ρF**: This symbol represents the density of the fluid.

#### Key Concepts

- **Buoyant Force**: The net upward force exerted by a fluid on a submerged object. This force is what makes objects float or sink.
- **Pressure Difference**: The buoyant force can be calculated using the difference in pressures at the two depths (\( h_1 \) and \( h_2 \)).
- **Force Calculation**: The forces due to pressure are given by \( F_1 = \rho_F \cdot g \cdot h_1 \cdot A \) and \( F_2 = \rho_F \cdot g \cdot h_2 \cdot A \), where \( g \) is the gravitational acceleration, and \( A \) is the area of the object's surface in contact with the fluid.

### Problem to Solve
Using the given values \( h_1 \), \( h_2 \), and \( ρF \), the problem is to calculate the magnitude of the buoyant
Transcribed Image Text:### Understanding Buoyant Force in Fluids In the given image, we see a diagram illustrating the concept of buoyant force acting on an object submerged in a fluid. Here's a detailed explanation: #### Explanation of Diagram The diagram shows a cross-sectional view of a cylindrical object (like a block) submerged in a liquid within a container. Several labels and measurements are indicated in the diagram. 1. **h₁ and h₂**: These labels represent the heights of the liquid column at two different points. - \( h_1 \) is the height from the top surface of the liquid to the upper surface of the submerged object. - \( h_2 \) is the height from the top surface of the liquid to the bottom surface of the submerged object. 2. **Δh**: The difference in height (\( Δh \)) between \( h_1 \) and \( h_2 \). Mathematically, \( Δh = h_2 - h_1 \). 3. **F₁ and F₂**: These are forces acting on the object due to water pressure. - \( F₁ \) is the downward force exerted by the fluid pressure at the depth \( h_1 \). - \( F₂ \) is the upward force exerted by the fluid pressure at the depth \( h_2 \). 4. **ρF**: This symbol represents the density of the fluid. #### Key Concepts - **Buoyant Force**: The net upward force exerted by a fluid on a submerged object. This force is what makes objects float or sink. - **Pressure Difference**: The buoyant force can be calculated using the difference in pressures at the two depths (\( h_1 \) and \( h_2 \)). - **Force Calculation**: The forces due to pressure are given by \( F_1 = \rho_F \cdot g \cdot h_1 \cdot A \) and \( F_2 = \rho_F \cdot g \cdot h_2 \cdot A \), where \( g \) is the gravitational acceleration, and \( A \) is the area of the object's surface in contact with the fluid. ### Problem to Solve Using the given values \( h_1 \), \( h_2 \), and \( ρF \), the problem is to calculate the magnitude of the buoyant
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Fluid 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
  • SEE MORE 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