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 2.6 rad/sec. After 5.71 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
2
?
2.82 x 10
1
rad/sec
2
3.84 x 10
-2
rad/sec
2
4.55 x 10
-1
rad/sec
2
4.49 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.71 seconds?
28.2 rad/sec
88.0 rad/sec
15.4 rad/sec
25.6 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.71 seconds if the pulley's diameter is 44 cm?
1.56 m/sec
6.21 m/sec
12.41 m/sec
5.63 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
106.3 m/sec
2
98.7 m/sec
2
297.4 m/sec
2
175.1 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 50 meters of cord around the rim?
10.69 seconds
8.11 seconds
9.54 seconds
10.08 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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