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 2.5 rad/sec. After 6.00 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
2
?
2.62 x 10
-2
rad/sec
2
3.73 x 10
1
rad/sec
2
5.8 x 10
0
rad/sec
2
4.17 x 10
-1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.00 seconds?
34.8 rad/sec
119.4 rad/sec
37.3 rad/sec
19.9 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.00 seconds if the pulley's diameter is 33 cm?
6.15 m/sec
5.74 m/sec
12.31 m/sec
0.88 m/sec
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Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
229.5 m/sec
2
95.7 m/sec
2
110.8 m/sec
2
206.2 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 49 meters of cord around the rim?
9.72 seconds
10.59 seconds
8.00 seconds
10.14 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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