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Centripetal Force Orbit Park

Move in a circle • follow the inward force

Live circular-motion changes

Inward force50.0 N

Inward acceleration5.0 m/s²

One orbit2.81 s

Force sourceTension

Scene

Mass 2.0 kg

Speed 5.0 m/s

Circle radius 2.0 m

Tension pulls the ball inward with 25.0 N.

Why does it turn?

The string continuously pulls the ball toward the center, changing its direction.

Red = inward force

Blue = velocity

Force = mass × speed² ÷ radius

Inward force25.0 N

Inward acceleration12.5 m/s²

Angular speed2.50 rad/s

Orbit time2.51 s

Equations and live calculation

Inward acceleration: aᶜ = v² ÷ rHow quickly the direction of velocity changes.12.50 = 5.0² ÷ 2.0 m/s²

Centripetal force: Fᶜ = m × aᶜ = m × v² ÷ rThe net inward force required for the circular path.25.0 = 2.0 × 5.0² ÷ 2.0 N

Angular speed: ω = v ÷ rHow quickly the object turns through an angle.2.50 = 5.0 ÷ 2.0 rad/s

Orbit period: T = 2πr ÷ v = 2π ÷ ωThe time needed to complete one circle.2.51 = 2π × 2.0 ÷ 5.0 s

m = mass, v = speed, r = radius, aᶜ = inward acceleration, Fᶜ = inward force, ω = angular speed, T = period.

Simulation speed 1×

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Language

Narrator

The closest available device voice will be used.

Voice speed 1×

All chapters continue automatically after a two-second visual pause.