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## Main Question or Discussion Point

Purely mathematically, how does the expression for the centripetal acceleration a=v^2/R give information about the direction of the acceleration vector? I don't seem to notice any indication that the acceleration vector should be perpendicular to the velocity, or pointing towards the center.

It's more of a conceptual question, really: I understand that we get the result with the ASSUMPTION that the acceleration has such direction, but I am only wondering whether it should be explicit in the result.

Thank you.

It's more of a conceptual question, really: I understand that we get the result with the ASSUMPTION that the acceleration has such direction, but I am only wondering whether it should be explicit in the result.

Thank you.