How do you calculate centripetal acceleration?

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04-02-2022
Physics

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How do you calculate centripetal acceleration?

Sagot :

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LammettHashidn LammettHashidn · Answer 1 · 2022-02-04T14:32:54-05:00

A particle has centripetal acceleration whenever it's a making a turn of radius R. If the particle is moving at a constant tangential speed v throughout the turn, then the magnitude of centripetal acceleration is

v²/R

If the particle is following a uniformly circular path, then it moves in a circle of radius R and travels a distance equal to its circumference, 2πR. Let T be the time it takes to complete one such loop. Then the entire circle is traversed with speed v = 2πR/T, so that the centripetal acceleration is also given by

v²/R = (2πR/T)²/R = 4π²R/T²

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