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 2.5 rad/sec. After 5.64 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
2
?
4.43 x 10
-1
rad/sec
2
3.31 x 10
1
rad/sec
2
3.11 x 10
-2
rad/sec
2
5.43 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.64 seconds?
100.5 rad/sec
30.6 rad/sec
33.1 rad/sec
17.8 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.64 seconds if the pulley's diameter is 25 cm?
3.83 m/sec
8.29 m/sec
4.14 m/sec
0.75 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
137.4 m/sec
2
67.9 m/sec
2
156.2 m/sec
2
70.1 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 31 meters of cord around the rim?
10.09 seconds
9.61 seconds
9.17 seconds
7.58 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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