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 2.6 rad/sec. After 7.64 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
2
?
3.36 x 10
-2
rad/sec
2
2.76 x 10
0
rad/sec
2
3.4 x 10
-1
rad/sec
2
2.37 x 10
1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.64 seconds?
13.2 rad/sec
21.1 rad/sec
23.7 rad/sec
100.5 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.64 seconds if the pulley's diameter is 31 cm?
3.68 m/sec
7.35 m/sec
3.27 m/sec
1.31 m/sec
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Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
42.8 m/sec
2
84.3 m/sec
2
87.2 m/sec
2
209.6 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 41 meters of cord around the rim?
13.72 seconds
11.02 seconds
14.73 seconds
12.84 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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