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4. If we make the units explicit, the function is
θ
=−
+
40
30
10
3
..
.
rad / s
rad / s
rad / s
22
3
b
g
ch
tt
t
but generally we will proceed as shown in the problem—letting these units be understood.
Also, in our manipulations we will generally not display the coefficients with their proper
number of significant figures.
(a) Eq. 106 leads to
ω
+
=
−
+
d
dt
ttt
43
4
63
23
2
c
h
.
Evaluating this at
t
= 2 s yields
2
= 4.0 rad/s.
(b) Evaluating the expression in part (a) at
t
= 4 s gives
4
= 28 rad/s.
(c) Consequently, Eq. 107 gives
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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