A Calculateur de pente en degrés et en pourcentage 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 des mesures.
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 & Structural Ingenierie: Assure la conformité with building codes for ramps and walkways.
- Applies to Cycling & Skiing Terrain Design: Helps assess the difficulty of slopes in outdoor sports.
Laits en poudre
La série Percent Slope (Grade) se calcule selon la formule :
Percent Slope (%) = tan(θ) × 100
Où :
- θ (Thêta) = Slope angle in degrees.
- bronzage (θ) = Tangente de l'angle.
Comprendre la conversion :
- A Pente de 0 degrés correspond à 0%.
- A Pente de 45 degrés équivaut à 100%.
- A Pente de 90 degrés 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:
Angle (degrés) | Pourcentage de pente (%) |
---|---|
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
Supposons qu'un pente de la route has an angle of Degrés 12. En utilisant la formule :
Percent Slope (%) = tan(12°) × 100
Percent Slope (%) = 0.2126 × 100 = 21.26%
This means the road has a 21.26 % de pente, indicating that for every 100 horizontal units, the elevation rises by unités 21.26.
FAQ les plus courantes
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 Pente de 60 degrés est d'environ 173%.