Ramp Slope Calculator

Calculate Ramp Slope



Formulas

The formulas to calculate the slope gradient and slope length are:

\[ \text{Slope Gradient} = \frac{Y}{X} \]

\[ \text{Slope Length} = \sqrt{X^2 + Y^2} \]

Where:

What is a Ramp Slope?

A ramp slope is defined as the gradient or ratio of the height to the length of a ramp. The ramp slope is calculated by dividing the height of the ramp by the horizontal length. The slope length is the hypotenuse of the right triangle formed by the height and horizontal length of the ramp.

Example Calculation 1

Let's assume the following values:

Using the formulas:

\[ \text{Slope Gradient} = \frac{3}{4} = 0.75 \]

\[ \text{Slope Length} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \, \text{units} \]

The Slope Gradient is 0.75 and the Slope Length is 5 units.

Example Calculation 2

Let's assume the following values:

Using the formulas:

\[ \text{Slope Gradient} = \frac{5}{12} = 0.42 \]

\[ \text{Slope Length} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \, \text{units} \]

The Slope Gradient is 0.42 and the Slope Length is 13 units.