Question
Asked Oct 24, 2019
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The inital angular velocity and the angular acceleration of four rotating objects at the same instant in time are listed in the table that follows. For each of the objects (a), (b), (c), and (d), determine the final angular speed after an elapsed time of 4 s.

extbook
our rotating objects at the same instant in time are listed in the table that fo
time of 4 s
Initial angular velocity we
Angular acceleration a
(a)
(b)
(c)
(d)
+22.0 rad/s
+5.0 rad/s2
-5,0 rad/s
+5.0 rad/s2
+22.0 rad/s
-22.0 rad/s
-22.0 rad/s
-5.0 rad/s
hile you earn points based on the Point Potential Policy set by your instructor.
Question Attempts: 1 of 6 used
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extbook our rotating objects at the same instant in time are listed in the table that fo time of 4 s Initial angular velocity we Angular acceleration a (a) (b) (c) (d) +22.0 rad/s +5.0 rad/s2 -5,0 rad/s +5.0 rad/s2 +22.0 rad/s -22.0 rad/s -22.0 rad/s -5.0 rad/s hile you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 1 of 6 used

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Expert Answer

Step 1

Given information:

Initial angular velocity of object 1 (ωi-1) = +22 rad/s

Angular acceleration of object 1 (α1) = +5 rad/s2

Initial angular velocity of object 2 (ωi-2) = +22 rad/s

Angular acceleration of object 2 (α2) = -5 rad/s2

Initial angular velocity of object 3 (ωi-3) = -22 rad/s

Angular acceleration of object 3 (α3) = +5 rad/s2

Initial angular velocity of object 4 (ωi-4) = -22 rad/s

Angular acceleration of object 4 (α4) = -5 rad/s2

Angular velocity of each object after time (t) = 4 s

Step 2

Angular velocity (ωf-1) of object 1 after time (t) is given f...

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= wi-1 at = 22 + 5(4) = 42 rad/sec Wf-1 Angular velocity (ae2) of object 2 after time (t) is given from the 1st equation of motion as follows: 2 rad/sec Wf-2 Wi-2 t azt = 22 + (-5) (4) Angular velocity (ae3) of object 3 after time (t) is given from the 1st equation of motion as follows: wf-3 Wi-3 + a3t = (-22) + 5(4) = -2 rad/sec Angular velocity (of4) of object 4 after time (t) is given from the 1st equation of motion as follows: = wi-1+ at =(-22) +(-5) (4) = -42 rad/sec Wf-4

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Physics

Angular Motion

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