A Calcolatore della pendenza da grado a percentuale converts an angle in degrees into a percentage slope. This conversion is widely used in construction, civil engineering, road design, and landscaping to determine the steepness of a surface. Since slopes are commonly expressed in both degrees and percentages, this calculator helps professionals and DIY builders ensure proper gradient misurazioni.
Importance of Degree to Percent Slope Calculation:
- Essential in Road Construction: Ensures roads have safe inclines for vehicles.
- Used in Landscaping & Drainage Planning: Helps create properly graded surfaces for water runoff.
- Vital in Architecture & Strutturale Ingegneria: Assicura conformità with building codes for ramps and walkways.
- Applies to Cycling & Skiing Terrain Design: Helps assess the difficulty of slopes in outdoor sports.
Formula
Percent Slope (Grade) si calcola con la formula:
Percent Slope (%) = tan(θ) × 100
Dove:
- θ (Theta) = Slope angle in degrees.
- abbronzatura(θ) = Tangente dell'angolo.
Comprendere la conversione:
- A Pendenza di 0 gradi corrisponde 0%.
- A Pendenza di 45 gradi uguale 100%.
- A Pendenza di 90 gradi is infinite (%), as it represents a vertical rise.
This conversion is crucial for determining slopes in real-world applications.
Degree to Percent Slope Reference Table
The table below provides quick reference values for common degree-to-percent slope conversions:
| Angolo (gradi) | Pendenza percentuale (%) |
|---|---|
| 1° | 1.75% |
| 5° | 8.75% |
| 10° | 17.63% |
| 15° | 26.79% |
| 20° | 36.40% |
| 25° | 46.63% |
| 30° | 57.74% |
| 35° | 70.02% |
| 40° | 83.91% |
| 45° | 100.00% |
This table helps engineers and planners quickly find slope percentages for different angles without manual calculations.
Example of Degree to Percent Slope Calculator
Supponiamo che un pendenza della strada has an angle of gradi 12. Usando la formula:
Percent Slope (%) = tan(12°) × 100
Percent Slope (%) = 0.2126 × 100 = 21.26%
This means the road has a 21.26% di pendenza, indicating that for every 100 horizontal units, the elevation rises by unità 21.26.
Domande frequenti più comuni
A degree slope measures the angle of elevation, while a percent slope represents the rise over the run as a percentage. A 45-degree slope equals 100% slope.
Percent slope is critical for designing roads, driveways, ramps, and drainage systems, ensuring safety and compliance with regulations.
Yes. A slope greater than 100% means the rise is steeper than the run. For example, a Pendenza di 60 gradi è circa 173%.