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 7.55 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.71 x 10
^{-1}
rad/sec
^{2}
2.38 x 10
^{1}
rad/sec
^{2}
3.9 x 10
^{-2}
rad/sec
^{2}
2.79 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.55 seconds?
13.3 rad/sec
100.5 rad/sec
21.0 rad/sec
23.8 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.55 seconds if the pulley's diameter is 30 cm?
3.57 m/sec
1.26 m/sec
3.15 m/sec
7.15 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
41.8 m/sec
^{2}
81 m/sec
^{2}
235.2 m/sec
^{2}
85.2 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 42 meters of cord around the rim?
14.18 seconds
15.26 seconds
13.25 seconds
11.81 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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