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Obtain an Expression for Linear Acceleration of the Particle Performing Non-uniform Circular Motion. - Physics

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For a particle performing uniform circular motion `vecv=vecomegaxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.

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Solution

`vecv=vecomegaxxvecr`

`vec(dv)/dt=vec(domega)/dtxxvecr+vecomegaxxvec(dr)/dt`

where 

`(dvecomega)/dt=vecalpha,`

`(dr)/dt=vecv`

`(dvecv)/dt=veca`

`:.veca=vecalphaxxvecr+vecomegaxxvecv`

Concept: Uniform Circular Motion
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