Problem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.) Part (a) What are the dimensions of ∫ρdV? dimensions = ______ Part (b) What are the dimensions of dV/dt? dimensions = ______ Part (c) What are the dimensions of ρ(dV/dt)? dimensions = ______
Problem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.) Part (a) What are the dimensions of ∫ρdV? dimensions = ______ Part (b) What are the dimensions of dV/dt? dimensions = ______ Part (c) What are the dimensions of ρ(dV/dt)? dimensions = ______
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 1.6CYU: Check Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs...
Related questions
Question
Problem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.)
Part (a) What are the dimensions of ∫ρdV?
dimensions = ______
Part (b) What are the dimensions of dV/dt?
dimensions = ______
Part (c) What are the dimensions of ρ(dV/dt)?
dimensions = ______
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Physics for Scientists and Engineers with Modern …](https://www.bartleby.com/isbn_cover_images/9781337553292/9781337553292_smallCoverImage.gif)
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning