Problem 9.6 Consider an object initially at rest that begins auniform rotational motion with constant angular acceleration inthe xy-plane about a fixed axis that is perpendicular to the xy-plane. If the magnitude of the constant angular acceleration is0.95 rad/s, determine: (a) the angular velocity o of theobject at t = 1.5 s, t2 = 2.0 s, and t3motion began; (b) the angular position 0 of the object withrespect to its initial position at t = 1.5 s, t2 = 2.0 s, andt3 = 3.5 s after the rotational motion began; and (c) convertangles obtained in radians into corresponding angles indegrees.a =3.5 s after the rotational%3|Answers:(а) 01(b) 01(с) 01= 1.43 rad/s, w2 = 1.9 rad/s, @3 = 3.33 rad/s1.07 rad, 02 = 1.9 rad, 03 = 5.82 rad61.3°, 02108.9°, 03 = 333.6°

Given in question - angular acceleration (α) = 0.95 rad/s2 t1 =…

Problem 9.6 Consider an object initially at rest that begins a uniform rotational motion with constant angular acceleration in the xy-plane about a fixed axis that is perpendicular to the xy- plane. If the magnitude of the constant angular acceleration is a = 0.95 rad/s², determine: (a) the angular velocity o of the object at ti = 1.5 s, t2 = 2.0 s, and t3 motion began; (b) the angular position 0 of the object with respect to its initial position at t = 1.5 s, t2 = 2.0 s, and 3.5 s after the rotational motion began; and (c) convert 3.5 s after the rotational t3 angles obtained in radians into corresponding angles in degrees.

Problem 9.6 Consider an object initially at rest that begins a uniform rotational motion with constant angular acceleration in the xy-plane about a fixed axis that is perpendicular to the xy- plane. If the magnitude of the constant angular acceleration is a = 0.95 rad/s², determine: (a) the angular velocity o of the object at ti = 1.5 s, t2 = 2.0 s, and t3 motion began; (b) the angular position 0 of the object with respect to its initial position at t = 1.5 s, t2 = 2.0 s, and 3.5 s after the rotational motion began; and (c) convert 3.5 s after the rotational t3 angles obtained in radians into corresponding angles in degrees.

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

Problem 9.6 Consider an object initially at rest that begins a
uniform rotational motion with constant angular acceleration in
the xy-plane about a fixed axis that is perpendicular to the xy-
plane. If the magnitude of the constant angular acceleration is
0.95 rad/s, determine: (a) the angular velocity o of the
object at t = 1.5 s, t2 = 2.0 s, and t3
motion began; (b) the angular position 0 of the object with
respect to its initial position at t = 1.5 s, t2 = 2.0 s, and
t3 = 3.5 s after the rotational motion began; and (c) convert
angles obtained in radians into corresponding angles in
degrees.
a =
3.5 s after the rotational
%3|
Answers:
(а) 01
(b) 01
(с) 01
= 1.43 rad/s, w2 = 1.9 rad/s, @3 = 3.33 rad/s
1.07 rad, 02 = 1.9 rad, 03 = 5.82 rad
61.3°, 02
108.9°, 03 = 333.6°

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