p11_012.pdf
(
77 KB
)
Pobierz
Chapter 11 - 11.12
12. We assume the sense of rotation is positive, which (since it starts from rest) means all quantities (angular
displacements, accelerations, etc.) are positive-valued.
(a) The angular acceleration satisfies Eq. 11-13:
2
α
(5
.
0s)
2
=
⇒
α
=2
.
0rad
/
s
2
.
(b) The average angular velocity is given by Eq. 11-5:
ω
avg
=
∆
θ
∆
t
=
25 rad
5
.
0s
=5
.
0rad
/
s
.
(c) Using Eq. 11-12, the instantaneous angular velocity at
t
=5
.
0sis
ω
=
2
.
0rad
/
s
2
(5
.
0s)=10rad
/
s
.
(d) According to Eq. 11-13, the angular displacement at
t
=10sis
2
αt
2
=0+
1
2
(2
.
0)(10)
2
= 100 rad
.
Thus, the displacement between
t
=5sand
t
=10sis∆
θ
= 100
−
25 = 75 rad.
25 rad =
1
θ
=
ω
0
+
1
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