b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at the its center of mass, then uses the point mass formula (I=mr2). What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation? r = X m I = X kg-m2 Is Bob's method correct? no; you need to use the object's exact shape in your "I" calculations
b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at the its center of mass, then uses the point mass formula (I=mr2). What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation? r = X m I = X kg-m2 Is Bob's method correct? no; you need to use the object's exact shape in your "I" calculations
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 36AP: Review. Assume a certain liquid, with density 1 230 kg/m3, exerts no friction force on spherical...
Related questions
Question
100%

Transcribed Image Text:**The Ice Cream Cone Model**
The ice cream cone depicted can be analyzed through two geometric approximations:
- **Scoop on Top**: This can be modeled as a uniform solid sphere with a mass \( M_1 = 0.027 \, \text{kg} \) and a radius \( R_1 = 0.03 \, \text{m} \).
- **Waffle Cone Base**: This is approximated as a cylinder, with a mass \( M_2 = 0.038 \, \text{kg} \) and a radius \( R_2 = 0.01 \, \text{m} \). The cylinder is uniform and solid, assuming it is filled with ice cream.
**Diagram Explanation**
- The illustration shows a blue ice cream scoop on top of a waffle cone.
- Arrows indicate rotational movement around the axis of both the sphere and the cylinder.
- The labels \( M_1 \) and \( M_2 \) denote the masses of the sphere and cylinder, respectively.
- Lines indicate the radii \( R_1 \) of the sphere and \( R_2 \) of the cylinder.

Transcribed Image Text:**Problem Statement:**
Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at its center of mass, then uses the point mass formula \(I = mr^2\).
**Question:**
What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation?
- \(r = \_\_\_\_\) m ✖️
- \(I = \_\_\_\_\) kg·m² ✖️
Is Bob's method correct?
- No; you need to use the object's exact shape in your "I" calculations ✔️
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 1 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

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 …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College

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 …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College

Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University

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