Calculateur d'Accélération Centripète Gratuit

Calculez l'accélération centripète à partir de la vitesse et du rayon.

m/s
m

Centripetal Acceleration

20.0000 m/s²

Centripetal Acceleration vs Tangential Velocity

Formule

Centripetal Acceleration

An object moving in a circle at constant speed still accelerates because its direction changes.

Formula

a_c = v² / r

This acceleration always points toward the center of the circular path.

Exemple Résolu

A car travels at 10 m/s around a curve of radius 5 m.

  1. 01a_c = v² / r
  2. 02a_c = 100 / 5
  3. 03a_c = 20 m/s²

Questions Fréquentes

Why is there acceleration if speed is constant?

Acceleration is the rate of change of velocity, which is a vector. Even at constant speed, the direction changes continuously, so the velocity vector changes.

What direction does centripetal acceleration point?

It always points radially inward, toward the center of the circular path.

How does centripetal acceleration relate to angular velocity?

Since v = omega * r, we can write a_c = omega² * r, where omega is the angular velocity in radians per second.

Apprendre

Understanding Newton's Laws of Motion

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