Grade Formula:
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Definition: This calculator determines the percentage grade (slope) of a road based on vertical rise and horizontal run measurements.
Purpose: It helps engineers, construction workers, and road designers calculate the steepness of roads or pathways.
The calculator uses the formula:
Where:
Explanation: The ratio of vertical change to horizontal distance is converted to a percentage to express the slope.
Details: Proper grade calculation ensures safe road design, proper drainage, and compliance with transportation regulations.
Tips: Enter the vertical rise and horizontal run in meters. Both values must be > 0. The result shows the grade as a percentage.
Q1: What's considered a steep grade for roads?
A: Typically, grades above 7% are considered steep for highways, with maximum grades around 10-12% in mountainous areas.
Q2: How does this differ from angle in degrees?
A: Percentage grade is rise/run × 100, while angle is arctan(rise/run). 100% grade equals 45 degrees.
Q3: What units should I use?
A: The calculator uses meters, but any consistent units will work (feet, etc.) as long as both measurements use the same unit.
Q4: What's a typical road grade?
A: Most highways have grades between 3-6%. Residential streets are typically under 10%.
Q5: How does grade affect vehicles?
A: Steeper grades reduce speed, increase fuel consumption, and may require lower gears for heavy vehicles.