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 7.43 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec
^{2}
?
3.1 x 10
^{-1}
rad/sec
^{2}
2.63 x 10
^{-2}
rad/sec
^{2}
2.48 x 10
^{1}
rad/sec
^{2}
3.02 x 10
^{0}
rad/sec
^{2}
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 7.43 seconds?
13.5 rad/sec
22.5 rad/sec
24.8 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 7.43 seconds if the pulley's diameter is 43 cm?
5.32 m/sec
4.83 m/sec
10.65 m/sec
1.74 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
118.7 m/sec
^{2}
131.8 m/sec
^{2}
65 m/sec
^{2}
227.5 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 50 meters of cord around the rim?
11.63 seconds
12.34 seconds
13.15 seconds
9.34 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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