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 2.6 rad/sec. After 6.89 seconds, it has completed 14 revolutions. What is its angular acceleration in rad/sec
2
?
3.84 x 10
-2
rad/sec
2
3.77 x 10
-1
rad/sec
2
2.95 x 10
0
rad/sec
2
2.29 x 10
1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 6.89 seconds?
12.8 rad/sec
22.9 rad/sec
20.3 rad/sec
88.0 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 6.89 seconds if the pulley's diameter is 32 cm?
3.67 m/sec
1.40 m/sec
7.34 m/sec
3.25 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
47.2 m/sec
2
216.3 m/sec
2
84.2 m/sec
2
75.8 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 37 meters of cord around the rim?
12.42 seconds
11.60 seconds
9.97 seconds
13.36 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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