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 2.3 rad/sec. After 5.32 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
^{2}
?
4.32 x 10
^{-1}
rad/sec
^{2}
5.35 x 10
^{0}
rad/sec
^{2}
3.08 x 10
^{1}
rad/sec
^{2}
3.01 x 10
^{-2}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.32 seconds?
88.0 rad/sec
30.8 rad/sec
16.5 rad/sec
28.5 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.32 seconds if the pulley's diameter is 29 cm?
4.13 m/sec
4.46 m/sec
8.92 m/sec
0.94 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
137.3 m/sec
^{2}
153.4 m/sec
^{2}
71.2 m/sec
^{2}
77.6 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 29 meters of cord around the rim?
9.14 seconds
8.28 seconds
8.68 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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