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 2.7 rad/sec. After 7.85 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
2
?
2.17 x 10
0
rad/sec
2
4.14 x 10
-2
rad/sec
2
1.97 x 10
1
rad/sec
2
3.44 x 10
-1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.85 seconds?
17.0 rad/sec
88.0 rad/sec
11.2 rad/sec
19.7 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.85 seconds if the pulley's diameter is 44 cm?
2.23 m/sec
8.67 m/sec
3.74 m/sec
4.34 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
320.8 m/sec
2
47.7 m/sec
2
102.1 m/sec
2
85.5 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 52 meters of cord around the rim?
16.10 seconds
13.61 seconds
14.75 seconds
12.05 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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