Practice Problems
Rotational Kinematics
Topics:
On this worksheet you will practice using the basic formulas for rotational motion.
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omit
Question 1
At t = 0, a pulley rotating on a fixed axle with a constant acceleration has an initial angular velocity of 2.7 rad/sec. After 5.97 seconds, it has completed 17 revolutions. What is its angular acceleration in rad/sec
2
?
3.31 x 10
1
rad/sec
2
4.52 x 10
-1
rad/sec
2
3.41 x 10
-2
rad/sec
2
5.09 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.97 seconds?
106.8 rad/sec
17.9 rad/sec
33.1 rad/sec
30.4 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.97 seconds if the pulley's diameter is 37 cm?
12.24 m/sec
5.62 m/sec
1.12 m/sec
6.12 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
109.6 m/sec
2
94.2 m/sec
2
202.5 m/sec
2
269.7 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 53 meters of cord around the rim?
8.72 seconds
10.13 seconds
11.19 seconds
10.63 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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