1- A wheel rotates with a constant angular acceleration of 3.5 rad/s2. If the angular velocity ofthe wheel is 2 rad/s at to = 0,(a) What angle does the wheel rotate through in 2 s?(b) What is the angular velocity at t = 2 s? 2- A turntable rotates initially at a rate of 33 revolutions/min and takes 20 s to come to rest.(a) What is the angular acceleration of the turntable, assuming the acceleration is uniform?(b) How many rotations does the turntable make before coming to rest?(c) If the radius of the turntable is 14 cm, what are the magnitudes of the radial and tangentialcomponents of the linear acceleration of a point on the rim at t = 0? 1- A wheel rotates with a constant angular acceleration of 3.5 rad/s². If the angular velocity ofthe wheel is 2 rad/s at t₁ = 0,(a) What angle does the wheel rotate through in 2 s?(b) What is the angular velocity at t = 2 s?2- A turntable rotates initially at a rate of 33 revolutions/min and takes 20 s to come to rest.(a) What is the angular acceleration of the turntable, assuming the acceleration is uniform?(b) How many rotations does the turntable make before coming to rest?(c) If the radius of the turntable is 14 cm, what are the magnitudes of the radial and tangentialcomponents of the linear acceleration of a point on the rim at t = 0?

Constant angular acceleration (α)=3.5 rad/s2 At to = 0 second Angular velocity (ωo)= 2 rad/s

Answered: 1- A wheel rotates with a constant…

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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1- A wheel rotates with a constant angular acceleration of 3.5 rad/s2
. If the angular velocity of
the wheel is 2 rad/s at to = 0,
(a) What angle does the wheel rotate through in 2 s?
(b) What is the angular velocity at t = 2 s?

2- A turntable rotates initially at a rate of 33 revolutions/min and takes 20 s to come to rest.
(a) What is the angular acceleration of the turntable, assuming the acceleration is uniform?
(b) How many rotations does the turntable make before coming to rest?
(c) If the radius of the turntable is 14 cm, what are the magnitudes of the radial and tangential
components of the linear acceleration of a point on the rim at t = 0?

1- A wheel rotates with a constant angular acceleration of 3.5 rad/s². If the angular velocity of
the wheel is 2 rad/s at t₁ = 0,
(a) What angle does the wheel rotate through in 2 s?
(b) What is the angular velocity at t = 2 s?
2- A turntable rotates initially at a rate of 33 revolutions/min and takes 20 s to come to rest.
(a) What is the angular acceleration of the turntable, assuming the acceleration is uniform?
(b) How many rotations does the turntable make before coming to rest?
(c) If the radius of the turntable is 14 cm, what are the magnitudes of the radial and tangential
components of the linear acceleration of a point on the rim at t = 0?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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