Practice Problems
Rotational Kinematics
Topics:
On this worksheet you will practice using the basic formulas for rotational motion.
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omit
Question 1
At t = 0, a pulley rotating on a fixed axle with a constant acceleration has an initial angular velocity of 2.1 rad/sec. After 5.76 seconds, it has completed 18 revolutions. What is its angular acceleration in rad/sec
^{2}
?
1.95 x 10
^{-2}
rad/sec
^{2}
3.65 x 10
^{-1}
rad/sec
^{2}
6.09 x 10
^{0}
rad/sec
^{2}
3.72 x 10
^{1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.76 seconds?
35.1 rad/sec
19.6 rad/sec
113.1 rad/sec
37.2 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.76 seconds if the pulley's diameter is 41 cm?
7.62 m/sec
1.10 m/sec
7.19 m/sec
15.24 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
124.8 m/sec
^{2}
180.8 m/sec
^{2}
131.7 m/sec
^{2}
283.2 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?
6.39 seconds
8.49 seconds
8.83 seconds
9.18 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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