Skateboard Ramp Angle Calculator
Calculate the ramp angle, transition radius, and launch speed for skateboard ramps based on height and length.
Building a skateboard ramp requires understanding the relationship between ramp height, length, angle, and transition radius. Getting these right determines whether the ramp flows smoothly or throws riders off balance.
Ramp Angle Formula
For a simple incline ramp (launch ramp or kicker):
Angle = arctan(Height / Horizontal Length)
Or equivalently: Angle (degrees) = atan(H / L) × (180 / π)
Where:
- H = ramp height (vertical rise)
- L = horizontal run (not the ramp surface length)
Surface Length Formula
Surface Length = √(H² + L²)
This is the actual length of plywood or material needed for the ramp surface.
Worked Example
A kicker ramp that is 60 cm tall with a 150 cm horizontal run:
Angle = atan(60/150) × (180/π) = atan(0.4) × 57.296 = 21.8° × 57.296 = 21.8° Surface length = √(60² + 150²) = √(3600 + 22500) = √26100 = 161.6 cm
Common Ramp Angles
| Ramp Type | Height | Angle Range | Best For |
|---|---|---|---|
| Mellow kicker | 15–30 cm | 10–15° | Beginners, flat ground tricks |
| Standard kicker | 30–60 cm | 15–25° | Intermediate jumps |
| Steep kicker | 60–90 cm | 25–35° | Advanced airs |
| Quarter pipe | 60–120 cm | 70–85° (at lip) | Transition skating |
| Half pipe | 90–180 cm | 80–90° (at coping) | Vertical skating |
Transition Radius
Quarter pipes and half pipes use a curved transition rather than a flat incline. The transition radius determines how “tight” or “mellow” the curve feels:
Radius = Height / (1 − cos(Lip Angle))
For a 90 cm quarter pipe with an 80° lip angle: Radius = 90 / (1 − cos(80°)) = 90 / (1 − 0.1736) = 90 / 0.8264 = 108.9 cm
A larger radius creates a mellower, more forgiving transition. A smaller radius creates a tighter, punchier transition that launches riders higher but is harder to ride.
Recommended Transition Radii
| Ramp Height | Beginner Radius | Advanced Radius |
|---|---|---|
| 60 cm (2 ft) | 150 cm | 90 cm |
| 90 cm (3 ft) | 200 cm | 120 cm |
| 120 cm (4 ft) | 250 cm | 150 cm |
| 180 cm (6 ft) | 350 cm | 210 cm |
Exit Speed Estimate
Using energy conservation (ignoring friction), the speed at the top of the ramp is approximately:
Exit Speed = √(2 × g × H) where g = 9.81 m/s²
For a 90 cm ramp: Speed = √(2 × 9.81 × 0.9) = √17.66 = 4.2 m/s (15 km/h)