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 2.7 rad/sec. After 5.41 seconds, it has completed 15 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.21 x 10
^{1}
rad/sec
^{2}
5.44 x 10
^{0}
rad/sec
^{2}
3.87 x 10
^{-2}
rad/sec
^{2}
4.99 x 10
^{-1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.41 seconds?
32.1 rad/sec
29.4 rad/sec
17.4 rad/sec
94.2 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.41 seconds if the pulley's diameter is 36 cm?
11.57 m/sec
5.79 m/sec
5.30 m/sec
1.12 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
93.9 m/sec
^{2}
186.0 m/sec
^{2}
98 m/sec
^{2}
262.4 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 46 meters of cord around the rim?
9.19 seconds
7.92 seconds
10.18 seconds
9.66 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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