A large disc-shaped grindstone is spinning at 550 revolutions/min. The grindstone has a mass 5.0 kg and radius 7.5 cm. The moment of inertia of a disc rotating about its center is given by I = MR² The power is shut off by the operator and to slow it down, she sharpens a 5 kg axe by holding it against the grindstone until it stops 5 s later. Assume the angular acceleration is constant while the grindstone is slowing down. (A) Draw a diagram which shows the edge of the axe exerting a frictional torque on the large grindstone. Indicate the direction of rotation of the grindstone with an arrow. Then label the direction of the angular velocity (w) and the direction of the torque supplied by the axe (7) each with arrows. (B) Write relevant symbolic equation(s) which would provide a way to solve for angular acceleration and torque. Then solve these equations symbolically for torque exerted by the axe on the grindstone in terms of, the initial angular velocity (w), time it takes for the rotation to stop (t), the mass of the grindstone (m), the radius of the grindstone (r) and any needed constants. (C) Solve for the magnitude of the angular acceleration and the net frictional torque exerted by the axe on the grindstone.
A large disc-shaped grindstone is spinning at 550 revolutions/min. The grindstone has a mass 5.0 kg and radius 7.5 cm. The moment of inertia of a disc rotating about its center is given by I = MR² The power is shut off by the operator and to slow it down, she sharpens a 5 kg axe by holding it against the grindstone until it stops 5 s later. Assume the angular acceleration is constant while the grindstone is slowing down. (A) Draw a diagram which shows the edge of the axe exerting a frictional torque on the large grindstone. Indicate the direction of rotation of the grindstone with an arrow. Then label the direction of the angular velocity (w) and the direction of the torque supplied by the axe (7) each with arrows. (B) Write relevant symbolic equation(s) which would provide a way to solve for angular acceleration and torque. Then solve these equations symbolically for torque exerted by the axe on the grindstone in terms of, the initial angular velocity (w), time it takes for the rotation to stop (t), the mass of the grindstone (m), the radius of the grindstone (r) and any needed constants. (C) Solve for the magnitude of the angular acceleration and the net frictional torque exerted by the axe on the grindstone.
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 10.1CYU: Check Your Understanding The fan blades on a turbofan jet engine (shown below) accelerate from rest...
Related questions
Concept explainers
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
PLEASE ANSWER ALL PARTS ASAP!!!!!!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 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
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning