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 2.1 rad/sec. After 7.51 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
^{2}
?
2.51 x 10
^{-2}
rad/sec
^{2}
2.8 x 10
^{-1}
rad/sec
^{2}
2.13 x 10
^{1}
rad/sec
^{2}
2.56 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.51 seconds?
19.2 rad/sec
21.3 rad/sec
11.7 rad/sec
88.0 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 7.51 seconds if the pulley's diameter is 40 cm?
1.88 m/sec
4.27 m/sec
8.53 m/sec
3.85 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
176.4 m/sec
^{2}
96.1 m/sec
^{2}
91.0 m/sec
^{2}
51.2 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 37 meters of cord around the rim?
11.22 seconds
8.66 seconds
12.86 seconds
11.99 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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