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 2.2 rad/sec. After 6.96 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.16 x 10
^{-1}
rad/sec
^{2}
2.31 x 10
^{1}
rad/sec
^{2}
2.75 x 10
^{-2}
rad/sec
^{2}
3 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.96 seconds?
88.0 rad/sec
20.9 rad/sec
23.1 rad/sec
12.6 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.96 seconds if the pulley's diameter is 28 cm?
2.92 m/sec
1.21 m/sec
3.23 m/sec
6.46 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
42 m/sec
^{2}
74.6 m/sec
^{2}
135.5 m/sec
^{2}
67.5 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 27 meters of cord around the rim?
10.65 seconds
8.39 seconds
11.34 seconds
12.12 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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