The Speed
Differentiating Eq. 11-17 with respect to time - with
held constant - leads to

However,
is the linear speed (the magnitude of the linear velocity) of the point in question, and
is the angular speed
of the rotating body. So
(radian measure). 11-18
Caution: The angular speed
must be expressed in radian measure.
Equation 11-18 tells us that since all points within the rigid body have the same angular speed
, points with greater radius
have greater linear speed
. Figure 1 l-9a reminds us that the linear velocity is always tangent to the circular path of the point in question.
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