In theory, should there be any difference between the angular velocity and angular acceleration values determined from the two equations theta = -4.6276t2 - 0.1865t - 0.0166 omega = -9.4127t- 0.1326

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)...
icon
Related questions
icon
Concept explainers
Question

In theory, should there be any difference between the angular velocity and angular acceleration values determined from the two equations

theta = -4.6276t2 - 0.1865t - 0.0166

omega = -9.4127t- 0.1326

Expert Solution
Step 1

θ = -4.6276t2 -0.1865 t - 0.0166w = dθ/dt w = -9.2552 t - 0.1865 rad/secα = dw/dtα = -9.2552 rad/sec2it must be noted that w and α are angular velocity and angular acceleration respectively

 

Step 2

w = -9.4127 t - 0.1326 α = dw/dt α = -9.4127 rad/sec2

 

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Moment of inertia
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
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON