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 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 angular velocity versus time of this rotation: (rad/s) 20 10 12 -12
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 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 angular velocity versus time of this rotation: (rad/s) 20 10 12 -12
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 1PQ
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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 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 angular velocity versus time of this rotation:
frad/s)
t(s)
10
-12
1. 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:
e-f(t)
1. 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:
Slope:
Origin intercept:
Equation:
o-f(t)
1. 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.
2 Determine how is the acceleration in the range from 2 to 4 seconds where the
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