Mathematical relationship between angular acceleration and linear acceleration
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In the context of circular motion, linear acceleration is also called tangentialacceleration at. Linear or tangentialacceleration refers to changes in the magnitude of velocity but not its direction. ... Centripetal acceleration acoccurs as the direction of velocity changes; it is perpendicular to the circular motion.
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These equations mean that linear acceleration and angular acceleration are directly proportional. The greater the angular acceleration is, the larger the linear (tangential) acceleration is, and vice versa. ... For example, the smaller a wheel, the smaller its linear acceleration for a given angular acceleration α.
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