31. (a) The angular speed in rad/s is
ω
=
F
H
G
I
K
J
F
H
G
I
K
J
=
33
1
3
2
60
349
rev / min
rad / rev
s/min
rad / s.
π
.
Consequently, the radial (centripetal) acceleration is (using Eq. 1023)
ar
==
×
=
−
2
2
2
60 10
.(
.
.
rad / s
m)
0.73 m/ s
2
b
g
(b) Using Ch. 6 methods, we have
ma = f
s
≤
f
s
,
max
=
μ
s
mg
, which is used to obtain the
(minimum allowable) coefficient of friction:
s
a
g
,min
.
.
..
=
073
98
0075
(c) The radial acceleration of the object is
a
r
=
2
r
, while the tangential acceleration is
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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, Acceleration

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