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 5.37 seconds, it has completed 17 revolutions. What is its angular acceleration in rad/sec
2
?
6.37 x 10
0
rad/sec
2
3.67 x 10
-2
rad/sec
2
5.21 x 10
-1
rad/sec
2
3.7 x 10
1
rad/sec
2
omit
Question 2
In
Question #1
, what is the pulley's angular velocity at the end of the 5.37 seconds?
34.2 rad/sec
37.0 rad/sec
106.8 rad/sec
19.9 rad/sec
omit
Question 3
From
Question #2
, what is the linear velocity of a point on the rim of the pulley at exactly 5.37 seconds if the pulley's diameter is 31 cm?
0.84 m/sec
5.30 m/sec
11.46 m/sec
5.73 m/sec
omit
Question 4
What is the instantaneous centripetal acceleration experienced by the point on the rim in
Question #3
?
243 m/sec
2
212.0 m/sec
2
98.7 m/sec
2
92.3 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 46 meters of cord around the rim?
10.14 seconds
9.68 seconds
8.09 seconds
9.26 seconds
omit
Question 6
Which of the following graphs of
omega vs time
correctly protrays the behavior ot this pulley?
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