No Title
Physics II
Solution to Quiz 1
Thursday 12/03/15
Name
O233: periods 1,2
CM #
The instantaneous angular displacement of a rotating wheel is described by the equation
q
(t) = (6.00 rad/s)t
-
(0.500 rad/s
3
)t
3
(a) What is the angular displacement of the wheel at t=1.00 s?
q
(1.00 s)
=
(6.00 rad/s)(1.00 s)
-
(0.500 rad/s
3
)(1.00 s)
3
=
5.50 rad
(b) What is the instantaneous angular speed of the wheel at t=1.00 s?
w
(t)
=
d
q
(t)
dt
=
6.00 rad/s
-
(1.50 rad/s
3
)t
2
w
(1.00 s)
=
6.00 rad/s
-
(1.50 rad/s
3
)(1.00 s)
2
=
4.50 rad/s
(c) At what time does the wheel momentarily stop and begin rotating in the opposite direction?
Set the angular speed to zero.
0
=
6.00 rad/s
-
(1.50 rad/s
3
)t
o
2
t
o
=
2.00 s
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On 07 Dec 2015, 12:43.