A spinning figure skater who brings their arms close in to their body will then spin faster. The stick person figure skater we're looking at has a mass of M 50 kg and arms of length R₁ = 0.8 m. The skater originally spins with angular speed w; = 2 radians/second, and has their arms fully extended. At this initial state, the figure skater can be modeled as a hollow cylinder with moment of inertia I = MR²\ When the skater brings their arms in towards their body, they can be modeled as a solid cylinder with radius Rf 0.2 m. O Wi = J² = wf Determine the final angular speed wf of the skater when their arms are tucked in.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 113AP: Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater...
icon
Related questions
Question
A spinning figure skater who brings their arms close in to their body will then spin faster.
The stick person figure skater we're looking at has a mass of M
50 kg and arms of length
Ri
0.8 m. The skater originally spins with angular speed w; = 2 radians/second, and has
their arms fully extended. At this initial state, the figure skater can be modeled as a hollow
cylinder with moment of inertia I = MR²\
=
When the skater brings their arms in towards their body, they can be modeled as a solid
cylinder with radius Rf = 0.2 m.
old
Wi
$
=
wf
Determine the final angular speed wf of the skater when their arms are tucked in.
Transcribed Image Text:A spinning figure skater who brings their arms close in to their body will then spin faster. The stick person figure skater we're looking at has a mass of M 50 kg and arms of length Ri 0.8 m. The skater originally spins with angular speed w; = 2 radians/second, and has their arms fully extended. At this initial state, the figure skater can be modeled as a hollow cylinder with moment of inertia I = MR²\ = When the skater brings their arms in towards their body, they can be modeled as a solid cylinder with radius Rf = 0.2 m. old Wi $ = wf Determine the final angular speed wf of the skater when their arms are tucked in.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Torque
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill