Express the angular acceleration of the disk as a function of time.

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
Find A.
A 0.567 m/s
A disk of radius 24.0 cm is free to turn about an axle perpendicular to it through
its center. It has very thin but strong string wrapped around its rim, and the string
is attached to a ball that is pulled tangentially away from the rim of the disk (the
figure (Figure 1)). The pull increases in magnitude and produces an acceleration
of the ball that obeys the equation a (t)= At, where t is in seconds and A is a
constant. The cylinder starts from rest, and at the end of the third second, the
ball's acceleration is 1.70 m/s .
%3D
Submit
Previous Anars
v Correct
Part B
Express the angular acceleration of the disk as a function of time.
?
a(t) =
– 4.166
(rad/s*)t
Submit
Previous Answers Request Answer
X Incorrect; Try Again; 3 attempts remaining
Part C
How much time after the disk has begun to turn does it reach an angular speed of 12.5 rad/s?
t = 3.25 s
Submit
Previous Answers
v Correct
Figure
1 0.1 >
Part D
Through what angle has the disk turned just as it reaches 12.5 rad/s ? (Hint: See Section 2.6 in the textbook.)
Ball
0-00 = 13.6 rad
%3D
Pull
Submit
Previous Answers
Disk
v Correct
Provide Feedback
Transcribed Image Text:Find A. A 0.567 m/s A disk of radius 24.0 cm is free to turn about an axle perpendicular to it through its center. It has very thin but strong string wrapped around its rim, and the string is attached to a ball that is pulled tangentially away from the rim of the disk (the figure (Figure 1)). The pull increases in magnitude and produces an acceleration of the ball that obeys the equation a (t)= At, where t is in seconds and A is a constant. The cylinder starts from rest, and at the end of the third second, the ball's acceleration is 1.70 m/s . %3D Submit Previous Anars v Correct Part B Express the angular acceleration of the disk as a function of time. ? a(t) = – 4.166 (rad/s*)t Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Part C How much time after the disk has begun to turn does it reach an angular speed of 12.5 rad/s? t = 3.25 s Submit Previous Answers v Correct Figure 1 0.1 > Part D Through what angle has the disk turned just as it reaches 12.5 rad/s ? (Hint: See Section 2.6 in the textbook.) Ball 0-00 = 13.6 rad %3D Pull Submit Previous Answers Disk v Correct Provide Feedback
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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
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