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 7.01 seconds, it has completed 15 revolutions. What is its angular acceleration in rad/sec
^{2}
?
2.44 x 10
^{1}
rad/sec
^{2}
3.12 x 10
^{0}
rad/sec
^{2}
3.32 x 10
^{-2}
rad/sec
^{2}
3.57 x 10
^{-1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.01 seconds?
24.4 rad/sec
13.4 rad/sec
94.2 rad/sec
21.9 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.01 seconds if the pulley's diameter is 36 cm?
8.78 m/sec
3.94 m/sec
1.48 m/sec
4.39 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
92.3 m/sec
^{2}
107.1 m/sec
^{2}
225 m/sec
^{2}
56.2 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?
9.66 seconds
13.11 seconds
12.26 seconds
11.51 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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