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 2.3 rad/sec. After 6.02 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.01 x 10
^{-2}
rad/sec
^{2}
4.09 x 10
^{0}
rad/sec
^{2}
2.69 x 10
^{1}
rad/sec
^{2}
3.82 x 10
^{-1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.02 seconds?
88.0 rad/sec
24.6 rad/sec
26.9 rad/sec
14.6 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.02 seconds if the pulley's diameter is 26 cm?
3.50 m/sec
0.97 m/sec
7.00 m/sec
3.20 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
63.2 m/sec
^{2}
94.2 m/sec
^{2}
53.2 m/sec
^{2}
137.5 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 26 meters of cord around the rim?
7.51 seconds
10.52 seconds
9.93 seconds
9.40 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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