Calculadora de Pendiente de Pista de Esquí Gratis
Calcula la pendiente de una pista de esquí en porcentaje y grados para clasificar dificultad.
Grade (%)
31.4%
Grade (%) vs Vertical Drop
Fórmula
## How Ski Slope Grade Is Calculated ### Formulas **Grade (%) = Vertical Drop / Horizontal Distance x 100** **Horizontal Distance = sqrt(Run Length^2 - Vertical Drop^2)** **Angle (degrees) = arcsin(Vertical Drop / Run Length) x 57.2958** ### Ski Trail Ratings by Steepness | Rating | Grade | Angle | |--------|-------|-------| | Green (Beginner) | 6-25% | 3-14° | | Blue (Intermediate) | 25-40% | 14-22° | | Black (Advanced) | 40-80% | 22-39° | | Double Black (Expert) | 80%+ | 39°+ |
Ejemplo Resuelto
A run with 1,500 ft vertical drop and 5,000 ft slope length.
- 01Horizontal distance = sqrt(5000^2 - 1500^2) = sqrt(25,000,000 - 2,250,000) = sqrt(22,750,000) = 4,770 ft.
- 02Grade = 1500 / 4770 x 100 = 31.4%.
- 03Angle = arcsin(1500/5000) x 57.3 = 17.5°.
- 04This slope would be rated blue (intermediate).
Preguntas Frecuentes
What is considered a steep ski slope?
Slopes above 40% grade (22 degrees) are considered steep and rated black diamond. Expert-only slopes can exceed 80% grade (39 degrees). Most groomed runs are 15-35% grade.
Is grade the same as degrees?
No. Grade is rise over run (percentage). Degrees measure the angle from horizontal. A 100% grade equals 45 degrees. A 50% grade equals about 27 degrees. They are related but not the same.
Does grade affect ski speed?
Steeper slopes allow faster speeds due to greater gravitational force component along the slope. However, grooming, snow conditions, and skier technique also significantly affect speed.
Aprender