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 2.3 rad/sec. After 5.75 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
2
?
4.52 x 10
0
rad/sec
2
4 x 10
-1
rad/sec
2
3.01 x 10
-2
rad/sec
2
2.83 x 10
1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.75 seconds?
26.0 rad/sec
28.3 rad/sec
88.0 rad/sec
15.3 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.75 seconds if the pulley's diameter is 31 cm?
4.39 m/sec
8.77 m/sec
4.03 m/sec
1.10 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
164 m/sec
2
124.1 m/sec
2
75.7 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?
9.98 seconds
7.15 seconds
8.97 seconds
9.45 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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