Practice Problems
Rotational Kinematics
Directions:
On this worksheet you will practice using the basic formulas for rotational, or angular, motion.
omit
Question 1
At t = 0, a pulley rotating on a fixed axle with a constant acceleration has an initial angular velocity of 2.4 rad/sec. After 5.20 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
^{2}
?
4.62 x 10
^{-1}
rad/sec
^{2}
4.35 x 10
^{1}
rad/sec
^{2}
2.41 x 10
^{-2}
rad/sec
^{2}
7.91 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.20 seconds?
119.4 rad/sec
43.5 rad/sec
23.0 rad/sec
41.1 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.20 seconds if the pulley's diameter is 25 cm?
5.14 m/sec
5.44 m/sec
10.88 m/sec
0.57 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
236.7 m/sec
^{2}
144 m/sec
^{2}
84.9 m/sec
^{2}
98.8 m/sec
^{2}
omit
Question 5
If cord is being wrapped along the edge of the pulley in
Question #1
as it turns, how much time would be needed to accumulate 36 meters of cord around the rim?
8.82 seconds
8.51 seconds
8.21 seconds
6.58 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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