Slope Ratio Formula:
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Slope ratio represents the steepness of a line or surface, expressed as the ratio of vertical change (rise) to horizontal change (run). It is a dimensionless quantity that describes the inclination or gradient of a surface.
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 steepness.
Details: Slope ratio is crucial in various fields including civil engineering, architecture, landscaping, and construction. It helps determine proper drainage, road gradients, ramp accessibility, and structural stability.
Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is a typical slope ratio for wheelchair ramps?
A: ADA guidelines recommend a maximum slope ratio of 1:12 (rise:run), meaning 1 unit of rise for every 12 units of run.
Q2: How is slope ratio different from slope percentage?
A: Slope ratio is expressed as rise:run (e.g., 1:4), while slope percentage is calculated as (rise/run) × 100%.
Q3: What does a 1:1 slope ratio mean?
A: A 1:1 slope ratio means the rise equals the run, resulting in a 45-degree angle, which is considered very steep.
Q4: When is slope ratio used instead of degrees?
A: Slope ratio is commonly used in construction and engineering for its simplicity in measurement and calculation, while degrees are more common in mathematical contexts.
Q5: Can slope ratio be expressed as a decimal?
A: Yes, slope ratio can be expressed as a decimal (e.g., 0.25 for 1:4 ratio), which is equivalent to the tangent of the angle.