Rotational Race Lab

Compare pure rolling and slipping in real time for different bodies.

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Compare acceleration: a = (g·sinθ) / (1 + k²/R²). Watch for slipping!

Incline Angle (θ)40°

Friction Coeff (μ)0.5

Solid Sphere

⏱ 2.68s✅ Rolling

Hollow Sphere

⏱ 2.93s✅ Rolling

Solid Disc

⏱ 2.78s✅ Rolling

Ring

⏱ 3.21s✅ Rolling

📊 Real-Time Kinematics Leaderboard

Object	k² / R²	Required Friction (μ_req)	Acceleration (a)	Status
Solid Sphere	0.40	0.240	4.50 m/s²	Pure Rolling ✅
Disc / Solid Cyl	0.50	0.280	4.20 m/s²	Pure Rolling ✅
Hollow Sphere	0.67	0.336	3.78 m/s²	Pure Rolling ✅
Ring / Hollow Cyl	1.00	0.420	3.15 m/s²	Pure Rolling ✅

* If slipping occurs, acceleration changes to a = g(sinθ - μ cosθ) due to kinetic friction.

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