A disk of radius 26.0 cm is free to turn about an axle perpendicularto it through its center. It has very thin but strong string wrappedaround its rim, and the string is attached to a ball that is pulledtangentially away from the rim of the disk (Figure 1). The pullincreases in magnitude and produces an acceleration of the ball thatobeys the equation a (t) = At, where t is in seconds and A is aFind A.Express your answer in meters per second cubed.Γ ΑΣφ.?constant. The cylinder starts from rest, and at the end of the thirdsecond, the ball's acceleration is 2.30 m/s?.A =m/s3SubmitRequest AnswerPart BExpress the angular acceleration of the disk as a function of time.Express your answer in radians per second cubed multiplied by t.?a(t) =(rad/s)tSubmitRequest AnswerPart CHow much time after the disk has begun to turn does it reach an angular speed of 18.0 rad/s?Figure< 1 of 1 >Express your answer in seconds.V AEOΑΣφBallt =SPullSubmitRequest AnswerDiskPart DThrough what angle has the disk turned just as it reaches 18.0 rad/s? (Hint: See Section 2.6 in the textbook.)Express your answer in radians.

The rotational analogue of linear kinematic quantities are given as- Angular displacement is ,…

A disk of radius 26.0 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 (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 bal's acceleration is 2.30 m/s?.

A disk of radius 26.0 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 (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 bal's acceleration is 2.30 m/s?.

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)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

A disk of radius 26.0 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 (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
Find A.
Express your answer in meters per second cubed.
Γ ΑΣφ.
?
constant. The cylinder starts from rest, and at the end of the third
second, the ball's acceleration is 2.30 m/s?.
A =
m/s3
Submit
Request Answer
Part B
Express the angular acceleration of the disk as a function of time.
Express your answer in radians per second cubed multiplied by t.
?
a(t) =
(rad/s)t
Submit
Request Answer
Part C
How much time after the disk has begun to turn does it reach an angular speed of 18.0 rad/s?
Figure
< 1 of 1 >
Express your answer in seconds.
V AEO
ΑΣφ
Ball
t =
S
Pull
Submit
Request Answer
Disk
Part D
Through what angle has the disk turned just as it reaches 18.0 rad/s? (Hint: See Section 2.6 in the textbook.)
Express your answer in radians.

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