SECTION 10.2 Analysis Model: Rigid Object Under ConstantAngular Acceleration3. A wheel starts from rest and rotates with constant angularV acceleration to reach an angular speed of 12.0 rad/s in 3.00 s.Find (a) the magnitude of the angular acceleration of thewheel and (b) the angle in radians through which it rotatesin this time interval.4. A machine part rotates at an angular speed of 0.060 rad/s;QIC its speed is then increased to 2.2 rad/s at an angular accel-eration of 0.70 rad/s². (a) Find the angle through which thepart rotates before reaching this final speed. (b) If boththe initial and final angular speeds are doubled and theangular acceleration remains the same, by what factor is theangular displacement changed? Why?

Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 12.0 rad/s Time (t) = 3.00 s Required: Angular acceleration (α) and angular displacement (Δθ) in radians Since you have asked multiple question, as per our guidelines we are supposed to answer only one question. Kindly repost other questions as the next question. Part(a) Using equation of angular motion ω = ω0 + αtα = ω - ω0t= 12.0 rad/s - 0 rad/s3.00 s= 4.00 rad/s2 The magnitude of the angular acceleration of the wheel is equals to 4.00 rad/s2Part(b) Using equation of angular motion ∆θ =ω0t + 12αt2= 0 +124.00 rad/s23.00 s2= 18.0 rad The angle rotated by the wheel is equals to 18.0 radians

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A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12.0 rad/s in 3.00 s. Find (a) the magnitude of the angular acceleration of the wheel and (b) the angle in radians through which it rotates in this time interval.

A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12.0 rad/s in 3.00 s. Find (a) the magnitude of the angular acceleration of the wheel and (b) the angle in radians through which it rotates in this time interval.

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

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

SECTION 10.2 Analysis Model: Rigid Object Under Constant
Angular Acceleration
3. A wheel starts from rest and rotates with constant angular
V acceleration to reach an angular speed of 12.0 rad/s in 3.00 s.
Find (a) the magnitude of the angular acceleration of the
wheel and (b) the angle in radians through which it rotates
in this time interval.
4. A machine part rotates at an angular speed of 0.060 rad/s;
QIC its speed is then increased to 2.2 rad/s at an angular accel-
eration of 0.70 rad/s². (a) Find the angle through which the
part rotates before reaching this final speed. (b) If both
the initial and final angular speeds are doubled and the
angular acceleration remains the same, by what factor is the
angular displacement changed? Why?

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