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 2.5 rad/sec. After 5.26 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
^{2}
?
7.68 x 10
^{0}
rad/sec
^{2}
4.29 x 10
^{1}
rad/sec
^{2}
4.75 x 10
^{-1}
rad/sec
^{2}
2.62 x 10
^{-2}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.26 seconds?
40.4 rad/sec
42.9 rad/sec
119.4 rad/sec
22.7 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.26 seconds if the pulley's diameter is 43 cm?
1.00 m/sec
9.22 m/sec
18.44 m/sec
8.68 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
268.8 m/sec
^{2}
165.1 m/sec
^{2}
145.5 m/sec
^{2}
395.5 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 64 meters of cord around the rim?
8.50 seconds
6.96 seconds
9.15 seconds
8.81 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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