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 5.75 seconds, it has completed 18 revolutions. What is its angular acceleration in rad/sec
^{2}
?
5.9 x 10
^{0}
rad/sec
^{2}
4.7 x 10
^{-1}
rad/sec
^{2}
3.66 x 10
^{1}
rad/sec
^{2}
3.22 x 10
^{-2}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.75 seconds?
113.1 rad/sec
36.6 rad/sec
33.9 rad/sec
19.7 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.75 seconds if the pulley's diameter is 25 cm?
4.24 m/sec
9.16 m/sec
4.58 m/sec
0.68 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
167.8 m/sec
^{2}
182.3 m/sec
^{2}
79 m/sec
^{2}
73.8 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 38 meters of cord around the rim?
10.64 seconds
9.72 seconds
8.33 seconds
10.16 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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