high School⏱ 4 min

Circular Motion

Centripetal acceleration a = v²/r

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Parameters

Radius r (m)1.2

Speed v (m/s)2.0

a_c = \frac{v^2}{r} = 3.33\,\tfrac{\text{m}}{\text{s}^2}

Period T = 2πr/v = 3.77 s

• Velocity is always tangent to the circle • Acceleration always points to the centre • Faster motion or smaller radius -> larger a