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Rotation


In the above video we have attached the acceleration vector a to the particle, in order to show that it points at each instant of time in the direction of the center of the circle which is described by the particle.
The magnitude of the velocity vector a can be obtained by evaluation of its modulus.

|a| = √( ( -ω2R cos(ωt) )2 + ( -ω2R sin(ωt) )2 ) = ω2R

Hence, the acceleration of the particle equals ω2R.


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