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Ski Edge Geometry: Radius, Tilt & Force Models

Explore ideal ski sidecut radius and edge tilt, invert the radius relationship, and separate horizontal-turn force inclination from ski edge angle.

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Inputs that matter
Sidecut radius (m), Ski tilt θ (degrees), Source and model context, Sources and assumptions, and 5 more
Output to expect
Ideal edge curvature from tilt, Ideal tilt from radius ratio, Level-turn force inclination
  • Check the units and required inputs before comparing results.
  • Keep the assumptions with a copied result so you can reproduce the calculation later.
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Reference & details

How it works

Explore an ideal geometric model

For a circular sidecut bent into full contact with a rigid planar surface, ideal radius equals sidecut radius times cosine of ski tilt. The inverse requires a positive model radius no greater than sidecut radius. Real ski trajectories need not satisfy that restriction.

Keep force inclination separate

For constant-speed horizontal circular motion, acceleration is speed squared divided by radius. The resultant support-force inclination from vertical is atan(acceleration/gravity), using 9.80665 m/s². This is not the ski edge tilt on a slope.

Updated: September 2026

FAQ

Not necessarily. Snow penetration, partial contact, ski flex and torsion, and skidding affect the trajectory. The zero-angle value is a mathematical limit and does not establish a carved turn.

The cosine model cannot produce a ratio greater than one. This means the input has no solution in that model, not that a real ski cannot follow a longer-radius trajectory.

They determine force inclination only under the stated horizontal circular-motion assumptions. Ski slope geometry, body angulation and snow interaction are separate. No fixed 5° addition, 75° cap or technique grade is applied.

Save geometry case explicitly stores a local history entry. Copy Markdown Report includes inputs and notes; Download CSV exports the result breakdown. Keep important records separately from browser storage.

About Ski Edge Geometry: Radius, Tilt & Force Models

Explore ideal ski sidecut radius and edge tilt, invert the radius relationship, and separate horizontal-turn force inclination from ski edge angle.