# Circular logic.

Classical Mechanics Level pending

A particle is exhibiting circular motion from an initial angular velocity $${ \omega '}$$ at $${ T }=0$$ .

Its radius of curvature is r . It is also know that the tangential acceleration of this particle is:

$${ a }_{ T }=\ T\times \sqrt { { a }_{ N } } \times \sqrt { r }$$

Find the correct relation for the time dependence of the angular velocity ( $$\omega$$ ) at the instant T($$\neq 0$$)

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