Why is centripetal force directed towards the centre?
Quick answer
An object moving in a circle is constantly changing direction, which means its velocity is changing — so it is accelerating, even at constant speed. By Newton's second law, this acceleration needs a net force.
The acceleration of circular motion (centripetal acceleration) always points towards the centre of the circle, because that is the direction in which the velocity vector is turning. Therefore the net force causing it, the centripetal force, must also point towards the centre.
Its magnitude is F = mv²/r = mω²r. Remove this force and the object flies off along a tangent.
Still have a doubt?
Ask Synapse's AI tutor any question — by text or photo — and get a step-by-step solution instantly, free.
Ask your doubt free →