A light rope is wrapped several times around a large wheel with a radius of 0.450 mm. The wheel rotates on frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of 19.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.65 m/s when it reaches the ground. Part A:Calculate the angular velocity of the wheel when the suitcase reaches the ground. Express your answer in radians per second. Part B:Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared.
A light rope is wrapped several times around a large wheel with a radius of 0.450 mm. The wheel rotates on frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of 19.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.65 m/s when it reaches the ground. Part A:Calculate the angular velocity of the wheel when the suitcase reaches the ground. Express your answer in radians per second. Part B:Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 21PQ
Related questions
Question
A light rope is wrapped several times around a large wheel with a radius of 0.450 mm. The wheel rotates on frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of 19.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.65 m/s when it reaches the ground.
Part A:Calculate the
Part B:Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared.
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
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: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
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
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
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
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning