Uniform Circular Motion

An object moves in a circle at constant speed. Velocity (teal) is always tangent; the net (centripetal) force and acceleration (coral) always point to the center: ac = v²/r.

→ velocity (tangent)   → centripetal force / accel (to center)

ac = v²/r = m/s²
Fc = m·ac = N
period T = s, ω = rad/s
6 m/s
3 m
1 kg

Try: double the speed — ac goes up by 4× (it depends on v²). Then double the radius at fixed speed — ac is halved.