As a consequence of the previous observation,
we conclude that for the
acceleration of rotation
not only the intensity of the force F
is of importance,
but also the position r where the force is applied.
For that reason, one defines for rotation a new quantity,
the torque τ, which is given by
τ
= r ×
F
It can be shown that the acceleration
of ω
is given by
I dω/dt
= τ
thereby assuming that the moment of inertia does not vary with time.
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