Part B What fraction of its kinetic energy is rotational? View Available Hint(s) Hint 1. How to approach the problem In Part A, you found an expression for the total and rotational kinetic energies of the solid sphere. Use it to find the ratio of rotational kinetic energy to total. Hint 2. Simplify: rotational kinetic energy of the solid sphere Recall the expressions for linear velocity, kinetic energy of rotation, and the moment of inertia of a solid sphere, then combine them, and give an expression for the kinetic energy of rotation sphere in terms of the variables of the mass of the sphere M, the radius of the sphere R, and the angular velocity w of the sphere. Express your answer in terms of some, all, or none of the variables w, R, M. Krot = ΑΣΦ Submit Request Answer ? Hint 3. Simplify: total kinetic energy of the solid sphere Use the expressions for linear kinetic energy and rotational kinetic energy to find the total kinetic energy. Write below an expression for the total kinetic energy of the sphere in terms of the the mass M, radius R and angular velocity w. Express your answer in terms of some, all, or none of the variables w, R, M. ΑΣΦ Ktotal = Submit Request Answer Krot Ktotal = VO ΑΣΦ ? Submit Request Answer ? O 2024 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | Part B What fraction of its kinetic energy is rotational? View Available Hint(s) Hint 1. How to approach the problem In Part A, you found an expression for the total and rotational kinetic energies of the solid sphere. Use it to find the ratio of rotational kinetic energy to total. Hint 2. Simplify: rotational kinetic energy of the solid sphere Recall the expressions for linear velocity, kinetic energy of rotation, and the moment of inertia of a solid sphere, then combine them, and give an expression for the kinetic energy of rotation sphere in terms of the variables of the mass of the sphere M, the radius of the sphere R, and the angular velocity w of the sphere. Express your answer in terms of some, all, or none of the variables w, R, M. Krot = ΑΣΦ Submit Request Answer ? Hint 3. Simplify: total kinetic energy of the solid sphere Use the expressions for linear kinetic energy and rotational kinetic energy to find the total kinetic energy. Write below an expression for the total kinetic energy of the sphere in terms of the the mass M, radius R and angular velocity w. Express your answer in terms of some, all, or none of the variables w, R, M. ΑΣΦ Ktotal = Submit Request Answer Krot Ktotal = VO ΑΣΦ ? Submit Request Answer ? O 2024 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
Part B What fraction of its kinetic energy is rotational? View Available Hint(s) Hint 1. How to approach the problem In Part A, you found an expression for the total and rotational kinetic energies of the solid sphere. Use it to find the ratio of rotational kinetic energy to total. Hint 2. Simplify: rotational kinetic energy of the solid sphere Recall the expressions for linear velocity, kinetic energy of rotation, and the moment of inertia of a solid sphere, then combine them, and give an expression for the kinetic energy of rotation sphere in terms of the variables of the mass of the sphere M, the radius of the sphere R, and the angular velocity w of the sphere. Express your answer in terms of some, all, or none of the variables w, R, M. Krot = ΑΣΦ Submit Request Answer ? Hint 3. Simplify: total kinetic energy of the solid sphere Use the expressions for linear kinetic energy and rotational kinetic energy to find the total kinetic energy. Write below an expression for the total kinetic energy of the sphere in terms of the the mass M, radius R and angular velocity w. Express your answer in terms of some, all, or none of the variables w, R, M. ΑΣΦ Ktotal = Submit Request Answer Krot Ktotal = VO ΑΣΦ ? Submit Request Answer ? O 2024 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | Part B What fraction of its kinetic energy is rotational? View Available Hint(s) Hint 1. How to approach the problem In Part A, you found an expression for the total and rotational kinetic energies of the solid sphere. Use it to find the ratio of rotational kinetic energy to total. Hint 2. Simplify: rotational kinetic energy of the solid sphere Recall the expressions for linear velocity, kinetic energy of rotation, and the moment of inertia of a solid sphere, then combine them, and give an expression for the kinetic energy of rotation sphere in terms of the variables of the mass of the sphere M, the radius of the sphere R, and the angular velocity w of the sphere. Express your answer in terms of some, all, or none of the variables w, R, M. Krot = ΑΣΦ Submit Request Answer ? Hint 3. Simplify: total kinetic energy of the solid sphere Use the expressions for linear kinetic energy and rotational kinetic energy to find the total kinetic energy. Write below an expression for the total kinetic energy of the sphere in terms of the the mass M, radius R and angular velocity w. Express your answer in terms of some, all, or none of the variables w, R, M. ΑΣΦ Ktotal = Submit Request Answer Krot Ktotal = VO ΑΣΦ ? Submit Request Answer ? O 2024 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
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)...
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