1. What is Slope Calculation?

Slope calculation determines the steepness or incline of a ramp, represented by the ratio of vertical change (rise) to horizontal change (run). It's a fundamental concept in mathematics, physics, and engineering used to describe the gradient of surfaces.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( m \) — Slope (unitless ratio)
• \( \text{rise} \) — Vertical change (in consistent units)
• \( \text{run} \) — Horizontal change (in consistent units)

Explanation: The formula calculates the ratio between vertical and horizontal distances, providing a measure of steepness without units.

3. Importance of Slope Calculation

Details: Accurate slope calculation is crucial for ramp design, accessibility compliance, construction planning, and ensuring safe inclines for various applications including wheelchair access, vehicle ramps, and architectural designs.

4. Using the Calculator

Tips: Enter rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers, with run greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for rise and run?
A: Use any consistent units (meters, feet, inches, etc.), but both measurements must use the same units for accurate slope calculation.

Q2: What is considered a safe slope for wheelchair ramps?
A: ADA guidelines typically recommend a maximum slope of 1:12 (rise:run), which equals approximately 0.0833 or 8.33% grade.

Q3: Can slope be expressed as a percentage?
A: Yes, slope percentage = (rise/run) × 100%. A slope of 0.05 equals a 5% grade.

Q4: What does a slope of 1 mean?
A: A slope of 1 means the rise equals the run, creating a 45-degree angle (100% grade).

Q5: How is slope different from angle?
A: Slope is a ratio (rise/run), while angle is measured in degrees. They're related through trigonometric functions: angle = arctan(slope).