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 2.4 rad/sec. After 6.77 seconds, it has completed 15 revolutions. What is its angular acceleration in rad/sec
^{2}
?
2.54 x 10
^{1}
rad/sec
^{2}
3.06 x 10
^{-2}
rad/sec
^{2}
3.55 x 10
^{-1}
rad/sec
^{2}
3.4 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.77 seconds?
94.2 rad/sec
13.9 rad/sec
25.4 rad/sec
23.0 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.77 seconds if the pulley's diameter is 36 cm?
4.15 m/sec
9.16 m/sec
4.58 m/sec
1.41 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
116.5 m/sec
^{2}
207.4 m/sec
^{2}
93 m/sec
^{2}
61.3 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 41 meters of cord around the rim?
12.26 seconds
11.51 seconds
10.85 seconds
8.89 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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