Page 185 - Fisika Terapan for Engineers and Scientists
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Summary 385
FREQUENCY
f (12.4)
2p
PERIOD OF MOTION 1 2p
T (12.5)
f
AVERAGE ANGULAR ACCELERATION ¢
(12.6)
¢t
INSTANTANEOUS ANGULAR ACCELERATION d
(12.7)
dt
SPEED OF PARTICLE ON ROTATING BODY v R y (12.11)
v 1
v 2
v 3
R 2 R 1
R R 3 3
O x
ACCELERATION OF PARTICLE ON ROTATING BODY a R, y (12.13)
tangential
2 a tan
a R (12.15)
centripetal
a net P
a cent
O x
MOTION WITH CONSTANT ANGULAR t (12.17)
0
ACCELERATION
1 2
0
f f t t (12.18)
0
2
2
2
1
(f f ) ( ) (12.19)
0
0
2
MOTION WITH TIME-DEPENDENT ANGULAR t
0
ACCELERATION dt
(12.22)
0
0 t
f f dt
(12.23)
0
MOMENT OF INERTIA 2 2 3
I m R m R m R (12.29)
1 1 2 2 3 3
where R is the radial distance of m from the
i i
axis of rotation.
