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sci.fluid-rotating-cylinder Calculator
Calculates lift force on a rotating cylinder via the Magnus effect and Kutta-Joukowski theorem: L = ρUΓ per unit length. The Magnus effect causes curveball trajectories in baseball and soccer — a spinning cylinder generates lift proportional to rotation rate and flow speed.
Inputs
Rotation Speed Rpm
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Cylinder Radius M
Distance from centre to edge of a circle. Radius = diameter / 2.
Fluid Density Kg M3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Cylinder Length M
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Results
circulation gamma (m²/s)
The value at the specified point or condition.
Magnus lift force (N) at v=10m/s
Aerodynamic force perpendicular to the direction of motion. Lift = 0.5 × rho × v^2 × Cl × A. Enables flight when it exceeds weight.