// multi-utility computation suite · offline · instant · precise
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sci.cricket-ball-swing-Magnus Calculator
Calculates the Magnus force on a spinning cricket or baseball from the Kutta-Joukowski theorem and estimates the amount of lateral swing during flight. A cricket ball spinning at 1,500 RPM generates a Magnus force ~0.5 N — sufficient to deviate the trajectory by 30–50 cm over 20 m of flight.
Inputs
V M S
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Omega Rad S
How fast something rotates (rad/s). One full revolution = 2π radians. Convert from RPM: multiply by 2π/60.
R M
Distance from centre to edge of a circle. Radius = diameter / 2.
Rho Kg M3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Results
Magnus lift force FL (N)
Aerodynamic force perpendicular to the direction of motion. Lift = 0.5 × rho × v^2 × Cl × A. Enables flight when it exceeds weight.
lateral acceleration (m/s²)
The proportional relationship between two quantities.
lateral deflection over 20m (cm)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
tip speed ratio ωr/v
The computed rate of movement or processing.
FL = CL·ρ·A·v·ω·r
Reference formula or conversion factor shown for context.
spin category
The classification bucket this result falls into based on the computed value and the applicable reference scale.