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 2.8 rad/sec. After 6.58 seconds, it has completed 18 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.47 x 10
^{-2}
rad/sec
^{2}
3.16 x 10
^{1}
rad/sec
^{2}
4.26 x 10
^{-1}
rad/sec
^{2}
4.37 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.58 seconds?
17.2 rad/sec
31.6 rad/sec
113.1 rad/sec
28.8 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.58 seconds if the pulley's diameter is 32 cm?
5.05 m/sec
10.10 m/sec
4.60 m/sec
1.01 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
70 m/sec
^{2}
159.5 m/sec
^{2}
250.9 m/sec
^{2}
99.7 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 51 meters of cord around the rim?
12.02 seconds
11.41 seconds
12.69 seconds
10.03 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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