Slope Formula:
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Slope is a measure of the steepness or incline of a surface, typically expressed as a ratio of vertical change (rise) to horizontal change (run). It is a dimensionless quantity used extensively in engineering, construction, and topography.
The calculator uses the slope formula:
Where:
Explanation: The formula calculates the ratio of vertical change to horizontal change, providing a measure of incline steepness.
Details: Slope calculation is essential in civil engineering for road design, drainage planning, and construction. It's also critical in architecture for ramp design, landscaping, and ensuring proper water runoff.
Tips: Enter both rise and run values in meters. Ensure values are positive numbers greater than zero for accurate calculation.
Q1: Can slope be expressed as a percentage?
A: Yes, slope percentage = (Rise/Run) × 100%. A 100% slope equals a 45-degree angle.
Q2: What's the difference between slope and gradient?
A: While often used interchangeably, gradient typically refers to the maximum slope of a surface, while slope is the general measure of incline.
Q3: How is slope used in drainage design?
A: Proper slope ensures water flows away from structures. Minimum slopes are typically 1-2% for effective drainage.
Q4: What is a typical road slope?
A: Most roads have slopes between 2-6%. Steeper slopes may require special engineering considerations.
Q5: How do I convert slope to degrees?
A: Angle in degrees = arctan(Slope). For example, a slope of 1 (45°), 0.5 (≈26.6°), or 0.1 (≈5.7°).