Angular velocity:

$\overline{){\mathbf{\omega}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi}}{\mathbf{f}}}$, where f is frequency.

Speed, v:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\omega}}}$

The 3.50-cm-long second hand on a watch rotates smoothly.

What is its angular velocity?

What is the speed of the tip of the hand?

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