Centripetal acceleration
The acceleration directed toward the centre of a circular path, responsible for continuously changing the direction of velocity without changing its magnitude. Centripetal acceleration is given by a = v²/r = ω²r, where v is tangential speed, ω is angular velocity, and r is radius. It is always perpendicular to velocity.
Formula
a = v²/r = ω²r
Real World
NASA engineers calculated the centripetal acceleration experienced by astronauts in the centrifuge trainer at the Johnson Space Center to simulate the 3g forces felt during a rocket launch.
Exam Focus
State that centripetal acceleration is always directed toward the centre and perpendicular to velocity — both points are commonly required for full marks.
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