Hill Gradient Formula:
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Hill gradient represents the steepness or incline of a slope, expressed as a percentage. It measures the vertical rise relative to the horizontal run, providing a standardized way to quantify slope steepness for various applications.
The calculator uses the gradient formula:
Where:
Explanation: The formula calculates the ratio of vertical rise to horizontal run, then multiplies by 100 to convert to percentage format.
Details: Gradient calculation is essential in civil engineering, road design, construction, landscaping, and outdoor activities. It helps determine slope stability, drainage requirements, and accessibility.
Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the gradient percentage automatically.
Q1: What is considered a steep gradient?
A: Gradients above 10% are considered steep, while gradients above 25% are very steep and may require special engineering considerations.
Q2: How does gradient relate to angle?
A: Gradient percentage = tan(angle) × 100. For example, a 45° angle equals 100% gradient.
Q3: What are typical road gradients?
A: Most highways are designed with gradients under 6%, while mountain roads may have gradients up to 12-15%.
Q4: Can I use different units?
A: Yes, as long as both rise and run use the same units (feet, meters, etc.), the percentage result will be accurate.
Q5: What gradient is wheelchair accessible?
A: ADA guidelines recommend maximum gradients of 5% for ramps, with 8.33% as the absolute maximum for short distances.