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 5.74 seconds, it has completed 18 revolutions. What is its angular acceleration in rad/sec
^{2}
?
6.13 x 10
^{0}
rad/sec
^{2}
3.66 x 10
^{-1}
rad/sec
^{2}
1.95 x 10
^{-2}
rad/sec
^{2}
3.73 x 10
^{1}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.74 seconds?
35.2 rad/sec
37.3 rad/sec
19.7 rad/sec
113.1 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.74 seconds if the pulley's diameter is 39 cm?
7.27 m/sec
1.05 m/sec
14.55 m/sec
6.87 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
172 m/sec
^{2}
271.4 m/sec
^{2}
125.3 m/sec
^{2}
119.6 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 46 meters of cord around the rim?
8.79 seconds
9.15 seconds
8.46 seconds
6.37 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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