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 6.75 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
2
?
2.03 x 10
-2
rad/sec
2
4.59 x 10
0
rad/sec
2
3.26 x 10
-1
rad/sec
2
3.32 x 10
1
rad/sec
2
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Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.75 seconds?
31.0 rad/sec
119.4 rad/sec
33.2 rad/sec
17.7 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.75 seconds if the pulley's diameter is 31 cm?
5.14 m/sec
4.80 m/sec
10.28 m/sec
0.93 m/sec
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Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
150 m/sec
2
170.6 m/sec
2
104.1 m/sec
2
71.1 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 41 meters of cord around the rim?
10.69 seconds
7.92 seconds
11.19 seconds
10.23 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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