Power
The equation for rotational power can be easily derived from the linear equation for power.
Recall that
P
=
Fv
is the equation that gives us instantaneous power. Similarly, in the rotational
case:
P
=
τσ
With the equation for rotational power we have generated rotational analogues to every dynamic
equation we derived in linear motion and completed our study of rotational dynamics. To provide
a summary of our results, the two sets of equations, linear and rotational, are given below: Linear
Motion:
F
=
ma
W
=
Fx
K
=
mv
2
P
=
Fv
Rotational Motion:
τ
=
Iα
W
=
τμ
K
=
Iσ
2
P
=
τσ
Equipped with these equations, we can now turn to the complicated case of combined rotational
and translational motion.
Combined Rotational and Translational Motion
We have studied rotation on its own, and translation on its own, but what happens when the two
are combined? In this section we study the case in which an object moves linearly, but in such a
manner so that the object's axis of rotation remains unchanged. If the axis of rotation is changed,
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 Fall '10
 DavidJudd
 Physics, Kinetic Energy, Power, Rigid Body, Total kinetic energy, rotational power, Combined Motion

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