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 6.70 seconds, it has completed 19 revolutions. What is its angular acceleration in rad/sec
2
?
3.31 x 10
1
rad/sec
2
3.73 x 10
-1
rad/sec
2
2.62 x 10
-2
rad/sec
2
4.57 x 10
0
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.70 seconds?
17.8 rad/sec
119.4 rad/sec
33.1 rad/sec
30.6 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.70 seconds if the pulley's diameter is 30 cm?
0.91 m/sec
4.97 m/sec
9.94 m/sec
4.60 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
99.9 m/sec
2
68.6 m/sec
2
187.5 m/sec
2
164.7 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 45 meters of cord around the rim?
11.41 seconds
11.99 seconds
10.89 seconds
9.01 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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