Gradient Formula:
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Gradient percentage measures the steepness of a slope, representing the ratio of vertical rise to horizontal run expressed as a percentage. This calculation follows Australian standards which align with global practices for road and trail gradient measurement.
The calculator uses the standard gradient formula:
Where:
Explanation: The formula calculates how much elevation changes over a given horizontal distance, converting the ratio to a percentage for easier interpretation.
Details: Accurate gradient calculation is essential for road design, construction projects, trail planning, cycling routes, and ensuring accessibility compliance. It helps determine appropriate grades for various applications.
Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the gradient percentage according to Australian standards.
Q1: What Is Considered A Steep Gradient?
A: Generally, gradients above 10% are considered steep for vehicles, while gradients above 15% are challenging for pedestrians and cyclists.
Q2: How Does Gradient Percentage Relate To Degrees?
A: Gradient percentage = tan(angle) × 100. For example, a 45° angle equals 100% gradient, while 30° equals approximately 57.7% gradient.
Q3: What Are Typical Road Gradients In Australia?
A: Main roads typically have maximum gradients of 5-8%, while local streets may reach 12-15%. Steeper gradients require special design considerations.
Q4: Why Use Percentage Instead Of Ratio?
A: Percentage is more intuitive for most people - a 10% gradient means 10 meters rise per 100 meters horizontal distance.
Q5: Are There Standards For Maximum Gradients?
A: Yes, Australian standards specify maximum gradients for different road types, accessibility requirements, and land uses to ensure safety and functionality.