Percent Slope Formula:
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Percent slope calculation determines the steepness or incline of a surface by comparing the vertical rise to the horizontal run. It's expressed as a percentage and is widely used in construction, engineering, and geography to describe gradients.
The calculator uses the percent slope formula:
Where:
Explanation: The formula calculates the ratio of vertical change to horizontal distance and converts it to a percentage by multiplying by 100.
Details: Slope calculation is essential for road construction, drainage design, accessibility planning, and ensuring proper grading for construction projects. It helps determine if a slope meets safety standards and functional requirements.
Tips: Enter both rise and run values in meters. Both values must be positive numbers, with run greater than zero. The calculator will compute the percentage slope.
Q1: What is considered a steep slope?
A: Generally, slopes above 15-20% are considered steep, while slopes above 30% may present significant challenges for construction and accessibility.
Q2: How does percent slope relate to degrees?
A: Percent slope can be converted to degrees using the formula: degrees = arctan(slope%/100). A 100% slope equals 45 degrees.
Q3: What are typical slope values for roads?
A: Main roads typically have slopes under 6%, while residential streets may go up to 8-10%. Steeper slopes require special engineering considerations.
Q4: Can I use different units for rise and run?
A: Yes, as long as both measurements use the same units (both in meters, both in feet, etc.), the percentage calculation will be accurate.
Q5: What does a negative slope percentage mean?
A: A negative slope indicates a downward incline or decline. The calculator assumes positive values for both rise and run inputs.