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 6.92 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
2
?
4.29 x 10
0
rad/sec
2
2.41 x 10
-2
rad/sec
2
3.47 x 10
-1
rad/sec
2
3.21 x 10
1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.92 seconds?
29.7 rad/sec
119.4 rad/sec
32.1 rad/sec
17.3 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.92 seconds if the pulley's diameter is 41 cm?
1.28 m/sec
13.16 m/sec
6.58 m/sec
6.09 m/sec
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Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
236.2 m/sec
2
88 m/sec
2
211.3 m/sec
2
136.6 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 59 meters of cord around the rim?
12.13 seconds
11.01 seconds
11.54 seconds
8.92 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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