**Related Resources: mechanics machines**

### Distance traveled on gradients Equation and Calculator

Power Transmission Design and Engineering

**Engineering and Design Applications**

Distance traveled on uphill or downhill gradients Equation and Calculator

The gradeability of a vehicle is expressed as a percentage (%). For example, the figure 25% means that for a horizontal length of I = 100m, a height of h = 25m can be overcome. The same applies correspondingly to downhill gradients. The actual distance traveled c is calculated as follows:

Where:

c = Distance travelled, in m

I = Horizontal length of an uphill or downhill gradient, in m

h = Vertical height of an uphill/downhill gradient, in m

p = Uphill/downhill gradient, in %

Example of a calculation:

Gradient p = 25%. What is the distance travelled for a length of 200 m?

c = 206 m