Question

A solid sphere is rotating about an axis that passes through its center, and so is a thin-walled spherical shell. They have identical masses, radii, and kinetic energies. The angular speed of the shell is 6.54 rad/s. What is the angular speed of the solid sphere? 

          A solid sphere is rotating about an axis that passes through its center, and so is a thin-walled spherical shell. They have identical masses, radii, and kinetic energies. The angular speed of the shell is 6.54 rad/s. What is the angular speed of the solid sphere?
Show more…

Added by Eileen B.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
A solid sphere is rotating about an axis that passes through its center, and so is a thin-walled spherical shell. They have identical masses, radii, and kinetic energies. The angular speed of the shell is 6.54 rad/s. What is the angular speed of the solid sphere?
Close icon
Play audio
Feedback
Powered by NumerAI
Kathleen Carty Danielle Fairburn
Ivan Kochetkov verified

Ivan Kochetkov and 93 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
a-hoop-solid-cylinder-solid-sphere-and-thin-spherical-shell-each-has-the-same-mass-of-208-kg-and-the-same-radius-of-0174-m_-each-is-also-rotating-about-its-central-axis-with-an-angular-speed-74945

A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.08 kg and the same radius of 0.174 m. Each is also rotating about its central axis with an angular speed of 37.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg · m^2/s.) (a) hoop (b) solid cylinder (c) solid sphere (d) thin, spherical shell

Ivan K.
a-hollow-spherical-shell-of-radius-r-that-is-rotating-about-an-axis-through-its-center-has-rotationa-69332

A hollow spherical shell of radius $R$ that is rotating about an axis through its center has rotational kinetic energy $K .$ If you want to modify this sphere so that it has throe times as much kinetic energy at the same angular speed while keeping the same mass, what should be its radius in terms of $R ?$

Madhur L.
a-spherical-shell-of-radius-334-cm-and-a-sphere-of-radius-697-cm-are-rolling-without-slipping-along-the-same-floor-the-two-objects-have-the-same-mass-if-they-are-to-have-the-same-total-kinet-77599

A spherical shell of radius 3.34 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed to the sphere's angular speed be?

Khoobchandra A.
*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,712 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,893 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,908 solutions
*

Transcript

-
00:01 Hello, here we have to solve the following problem.
00:02 Each object has the same mass of 2 .08 kg and the same radius of 0 .174 m.
00:15 In addition, each is also rotating at 37 radians per second.
00:21 And here we have to find magnitude of angular momentum of each object.
00:26 So the first one is hoop.
00:29 Let's calculate its l.
00:32 That is i omega which is m r squared omega.
01:04 Let's move on to the next one which is solid cylinder.
01:20 As we can notice that is 2 .33 kg m per second over 2.
01:32 That is 1 .17 kg m per second.
01:38 Let's move on to the next one which is a solid sphere.
01:54 That is 0 .4 times 2 .33 kg m per second...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever