Speed of a point on a rotating rigid object (8-3)

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Question

\(\textbf{Angular speed}\) (in rad/s) of the rotating rigid object

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Review

\(\Delta{\theta}/\Delta{t}\) is the angular speed \(\omega\) of a rotating blade. (Since the blade is rotating in the positive direction, its angular velocity \(\omega_z = \Delta{\theta}/\Delta{t}\) is positive and so the angular speed \(\omega\)—which is always positive—is the same as \(\omega_z\).) So we can rewrite Equation 8-2 for the speed of a point on the blade as