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## Does Centripetal force cause a tangential force?

If I have a string with a lump on the end and is being swung in a circle with a continuous angular velocity then I know that:

$$F= m\frac{v^2}{r}$$

or using angular velocity,

$$F= m r \omega^2$$

But, is there a tangential force acting at the point of mass in its instantaneous direction, and if so, what is it equal to?
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