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 2.2 rad/sec. After 7.83 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
2
?
2.35 x 10
1
rad/sec
2
2.41 x 10
-2
rad/sec
2
2.81 x 10
-1
rad/sec
2
2.72 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.83 seconds?
23.5 rad/sec
100.5 rad/sec
21.3 rad/sec
12.8 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.83 seconds if the pulley's diameter is 29 cm?
3.09 m/sec
3.40 m/sec
1.24 m/sec
6.81 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
80 m/sec
2
39.4 m/sec
2
79.9 m/sec
2
140.4 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 32 meters of cord around the rim?
12.73 seconds
9.42 seconds
11.97 seconds
13.59 seconds
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Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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