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 2.6 rad/sec. After 6.41 seconds, it has completed 18 revolutions. What is its angular acceleration in rad/sec
^{2}
?
4.06 x 10
^{-1}
rad/sec
^{2}
2.99 x 10
^{-2}
rad/sec
^{2}
3.27 x 10
^{1}
rad/sec
^{2}
4.69 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.41 seconds?
17.6 rad/sec
113.1 rad/sec
32.7 rad/sec
30.1 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.41 seconds if the pulley's diameter is 43 cm?
1.32 m/sec
6.47 m/sec
7.03 m/sec
14.06 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
229.7 m/sec
^{2}
135.1 m/sec
^{2}
100.9 m/sec
^{2}
290.7 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 63 meters of cord around the rim?
10.65 seconds
9.00 seconds
11.18 seconds
11.76 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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