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 2.8 rad/sec. After 6.83 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
2
?
4.1 x 10
-1
rad/sec
2
2.66 x 10
1
rad/sec
2
3.9 x 10
-2
rad/sec
2
3.49 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.83 seconds?
23.8 rad/sec
14.7 rad/sec
26.6 rad/sec
100.5 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.83 seconds if the pulley's diameter is 34 cm?
4.05 m/sec
1.28 m/sec
9.06 m/sec
4.53 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
120.6 m/sec
2
92.8 m/sec
2
59.3 m/sec
2
266.6 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 48 meters of cord around the rim?
13.53 seconds
11.92 seconds
12.68 seconds
10.57 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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