Problem 9.6 Consider an object initially at rest that begins a uniform rotational motion with constant angular acceleration in the xy-plane about a fixed axis that is perpendicular to the xy- plane. If the magnitude of the constant angular acceleration is a = 0.95 rad/s², determine: (a) the angular velocity o of the object at ti = 1.5 s, t2 = 2.0 s, and t3 motion began; (b) the angular position 0 of the object with respect to its initial position at t = 1.5 s, t2 = 2.0 s, and 3.5 s after the rotational motion began; and (c) convert 3.5 s after the rotational t3 angles obtained in radians into corresponding angles in degrees.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 9.6 Consider an object initially at rest that begins a
uniform rotational motion with constant angular acceleration in
the xy-plane about a fixed axis that is perpendicular to the xy-
plane. If the magnitude of the constant angular acceleration is
0.95 rad/s, determine: (a) the angular velocity o of the
object at t = 1.5 s, t2 = 2.0 s, and t3
motion began; (b) the angular position 0 of the object with
respect to its initial position at t = 1.5 s, t2 = 2.0 s, and
t3 = 3.5 s after the rotational motion began; and (c) convert
angles obtained in radians into corresponding angles in
degrees.
a =
3.5 s after the rotational
%3|
Answers:
(а) 01
(b) 01
(с) 01
= 1.43 rad/s, w2 = 1.9 rad/s, @3 = 3.33 rad/s
1.07 rad, 02 = 1.9 rad, 03 = 5.82 rad
61.3°, 02
108.9°, 03 = 333.6°
Transcribed Image Text:Problem 9.6 Consider an object initially at rest that begins a uniform rotational motion with constant angular acceleration in the xy-plane about a fixed axis that is perpendicular to the xy- plane. If the magnitude of the constant angular acceleration is 0.95 rad/s, determine: (a) the angular velocity o of the object at t = 1.5 s, t2 = 2.0 s, and t3 motion began; (b) the angular position 0 of the object with respect to its initial position at t = 1.5 s, t2 = 2.0 s, and t3 = 3.5 s after the rotational motion began; and (c) convert angles obtained in radians into corresponding angles in degrees. a = 3.5 s after the rotational %3| Answers: (а) 01 (b) 01 (с) 01 = 1.43 rad/s, w2 = 1.9 rad/s, @3 = 3.33 rad/s 1.07 rad, 02 = 1.9 rad, 03 = 5.82 rad 61.3°, 02 108.9°, 03 = 333.6°
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