A Graden naar procent hellingscalculator 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 maten.
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 & structuur- Engineering: Waarborgt nakoming with building codes for ramps and walkways.
- Applies to Cycling & Skiing Terrain Design: Helps assess the difficulty of slopes in outdoor sports.
Formule
Het Percent Slope (Grade) wordt berekend met de formule:
Percent Slope (%) = tan(θ) × 100
Waar:
- θ (Theta) = Slope angle in degrees.
- bruin (θ) = Tangens of the angle.
De conversie begrijpen:
- A Helling van 0 graden overeen met 0%.
- A Helling van 45 graden is gelijk aan 100%.
- A Helling van 90 graden 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:
Hoek (graden) | Percent Slope (%) |
---|---|
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
Stel dat een helling van de weg has an angle of 12 graden. Met behulp van de formule:
Percent Slope (%) = tan(12°) × 100
Percent Slope (%) = 0.2126 × 100 = 21.26%
This means the road has a 21.26% helling, indicating that for every 100 horizontal units, the elevation rises by 21.26 eenheden.
Meest voorkomende veelgestelde vragen
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 Helling van 60 graden ongeveer 173%.