Slope Ratio Formula:
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Slope Ratio represents the ratio of vertical change (rise) to horizontal change (run) for a ramp or incline. It is a dimensionless value that describes the steepness of a slope.
The calculator uses the slope ratio formula:
Where:
Explanation: The slope ratio is calculated by dividing the vertical distance by the horizontal distance, resulting in a unitless ratio that describes the slope's steepness.
Details: Calculating slope ratio is essential in construction, accessibility design, and engineering to ensure ramps meet safety standards and functional requirements.
Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers greater than zero.
Q1: What is a typical slope ratio for wheelchair ramps?
A: For wheelchair accessibility, the recommended slope ratio is typically 1:12 (rise:run), meaning 1 unit of rise for every 12 units of run.
Q2: How does slope ratio differ from slope percentage?
A: Slope ratio is expressed as rise:run (e.g., 1:12), while slope percentage is calculated as (rise/run) × 100%.
Q3: What are common applications of slope ratio calculations?
A: Slope ratios are used in ramp design, road construction, roof pitching, landscaping, and various engineering projects.
Q4: Can slope ratio be greater than 1?
A: Yes, when the vertical rise is greater than the horizontal run, the slope ratio will be greater than 1, indicating a very steep slope.
Q5: How do I convert slope ratio to degrees?
A: To convert slope ratio to degrees, use the formula: angle = arctan(rise/run). The result will be in degrees.