3D Rolling Without Slipping Simulation

Explore how translation and rotation combine when a wheel rolls without sliding.

Interactive fraction laboratory

Rolling caption and live values

Radius

Angular speed

Center speed

Visual stage

Contact speed

Visual step

3D Rolling Without Slipping Simulation

Discover rolling without slipping

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Rolling without slipping occurs when the contact point is instantaneously at rest and the center speed satisfies v = ωR.

1 Track the center2 Track rotation3 Inspect contact4 Verify v = ωR

Pure rolling matches forward distance to the arc length turned by the wheel.

Experiment

Wheel radius R (m)

Angular speed ω (rad/s)

Slope angle (degrees)

Shape: 0 disk, 1 hoop

Predict center speed

Show the current equation on canvas

Simulation speed1×

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Speed history

Each change adds a point. Tracking a group highlights its contribution.