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. Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds. It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counterclockwise with positive angular velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally,. the wheel stops gradually in 2 seconds. Next you can see the graph of angutar velocity versus time of this rotation:

. Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds. It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counterclockwise with positive angular velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally,. the wheel stops gradually in 2 seconds. Next you can see the graph of angutar velocity versus time of this rotation:

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.2OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...
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1. Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds, It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counterclockwise with positive angufar velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally, the wheel stops gradually in 2 seconds. Next you can see the graph of angutar velocity versus time of this rotation: rads) 10 12 2 Find the angular acceleration in the range from 0 to 2 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity regarding the time. Write the results below: Acceleration: Equation: rfit) 3 Get the slope of the straight line in the range from 0 to 2 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below: Slkope: Origin intercept: Equation: e ft)
Transcribed Image Text:1. Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds, It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counterclockwise with positive angufar velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally, the wheel stops gradually in 2 seconds. Next you can see the graph of angutar velocity versus time of this rotation: rads) 10 12 2 Find the angular acceleration in the range from 0 to 2 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity regarding the time. Write the results below: Acceleration: Equation: rfit) 3 Get the slope of the straight line in the range from 0 to 2 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write the results below: Slkope: Origin intercept: Equation: e ft)
4 Compare the results in questions 2 and 3 by writing the relationship between the concepts of rotational kinematics and analytical geometry. Include an analysis of the acceleration sign. 5 Determine how is the acceleration in the range from 2 to 4 seconds where the velocity is constant. Also determine the slope of the straight line and the slope-intercept equation, writing the results below: Acceleration: Slope: Origin intercept: Equation: f(t) Find the angular acceleration in the range from 4 to 6 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below: Acceleration: Equation: o-f(t) 7 Get the slope of the straight line in the range from 4 to 6 seconds and use analytical geometry to build the equation of that line, in the slope-intercept equation form. Write the results below: Slope: Origin intercept: Equation: 0=f(t)
Transcribed Image Text:4 Compare the results in questions 2 and 3 by writing the relationship between the concepts of rotational kinematics and analytical geometry. Include an analysis of the acceleration sign. 5 Determine how is the acceleration in the range from 2 to 4 seconds where the velocity is constant. Also determine the slope of the straight line and the slope-intercept equation, writing the results below: Acceleration: Slope: Origin intercept: Equation: f(t) Find the angular acceleration in the range from 4 to 6 seconds by applying the corresponding rotational kinematics equation and write the equation as a function of angular velocity with regard to the time. Write the results below: Acceleration: Equation: o-f(t) 7 Get the slope of the straight line in the range from 4 to 6 seconds and use analytical geometry to build the equation of that line, in the slope-intercept equation form. Write the results below: Slope: Origin intercept: Equation: 0=f(t)
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