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

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...
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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
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