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Deriving the centripetal acceleration formula. A body that moves in a circular motion (of radius r) at constant speed (v) is always being accelerated. The acceleration is at right angles to the direction of motion (towards the center of the circle) and of magnitude v2 / r. The direction of acceleration is deduced by symmetry arguments.
Note that the right side of the equation is mass times acceleration. Mass is a scalar, and acceleration is a vector. So the right side of this equation is a scalar times a vector. This multiplication yields a vector that is called the force vector, or F, which is on the left side of the equation.ote that the right side of the equation is mass times acceleration. Mass is a scalar, and acceleration is a vector. So the right side of this equation is a scalar times a vector. This multiplication yields a vector that is called the force vector, or F, which is on the left side of the equation.