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Rotational motion formulas
15 formulas for Rotational motion, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Torque | τ = r × F = rF sin θ = Iα 🧮 Solve step by step | N·m |
| Angular momentum | L = Iω = r × p 🧮 Solve step by step | kg·m²/s |
| Rotational KE | KE = ½Iω² 🧮 Solve step by step | J |
| Rolling KE | ½mv² + ½Iω² | v = ωR |
| Parallel axis theorem | I = I_cm + Md² 🧮 Solve step by step | |
| Perpendicular axis theorem | I_z = I_x + I_y 🧮 Solve step by step | planar body |
| Radius of gyration | I = MK² 🧮 Solve step by step | |
| MI — ring (axis) | MR² | |
| MI — disc (axis) | ½MR² | |
| MI — solid sphere | (2/5)MR² | |
| MI — hollow sphere | (2/3)MR² | |
| MI — rod (centre / end) | ML²/12 / ML²/3 | |
| MI — solid cylinder | ½MR² | |
| Rolling down incline | a = g sin θ / (1 + K²/R²) 🧮 Solve step by step | |
| Centre of mass | x_cm = Σmᵢxᵢ / Σmᵢ |
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