Radial acceleration is not affected by which of the following?

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Radial acceleration, also known as centripetal acceleration, is directly related to both the radius of rotation and the tangential velocity or angular velocity of an object moving in a circular path. The formula for radial acceleration is given by ( a_r = \frac{v^2}{r} ) or ( a_r = r \omega^2 ), where ( v ) is the tangential velocity, ( \omega ) is the angular velocity, and ( r ) is the radius of the circular path.

Linear displacement, while important in understanding the overall motion of the object, does not have a direct relationship with radial acceleration. Radial acceleration specifically relates to the changes in direction of the object moving along a curved path at a constant speed, rather than the distance traveled or the displacement of the object from its initial position.

Thus, since linear displacement does not influence the concepts of velocity or radius necessary for calculating radial acceleration, it is the factor that does not affect radial acceleration.

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