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 5.78 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
^{2}
?
5.22 x 10
^{0}
rad/sec
^{2}
3.25 x 10
^{1}
rad/sec
^{2}
2.63 x 10
^{-2}
rad/sec
^{2}
3.98 x 10
^{-1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.78 seconds?
30.2 rad/sec
17.4 rad/sec
32.5 rad/sec
100.5 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.78 seconds if the pulley's diameter is 39 cm?
1.20 m/sec
5.89 m/sec
6.33 m/sec
12.67 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
109.8 m/sec
^{2}
205.8 m/sec
^{2}
101.8 m/sec
^{2}
206.3 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 45 meters of cord around the rim?
9.86 seconds
9.40 seconds
7.12 seconds
8.98 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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