Circular Motion: Periodic Time & Centripetal Acceleration

Periodic Time The time taken to complete one full cycle  Symbol = T Measured in seconds

Periodic Time & Angular Velocity T = 2π/ω T= periodic time ω = angular velocity

Periodic Time & Linear Velocity T = 2πr/v T = periodic time r = radius of rotation v = linear velocity

Centripetal Acceleration The acceleration of an object travelling in uniform circular motion The direction of this acceleration is towards the centre of the circle Vector quantity Unit = metres per second

a = ω²r a = acceleration ω = angular velocity r = radius

a = v²/r a = acceleration v = linear velocity r = radius

Examples of Centripetal Acceleration A car driving around a curve A roller coaster moving through a loop  Roulette

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