Construction
Ramp slope and length
Calculate a ramp’s gradient, angle and sloping length from rise and horizontal run.
Calculators / Sports / Treadmill equivalent elevation
Treadmill equivalent elevation calculator
Resolve treadmill belt distance into equivalent horizontal travel and vertical gain.
On this page
Equivalent vertical gain497.52m
Equivalent horizontal distance4,975.19m
Incline angle5.71degrees
Calculator controls
How to calculate
Resolve treadmill belt distance into equivalent horizontal travel and vertical gain.
Equivalent vertical gain =
distance*1000*(grade/100)/sqrt(1+(grade/100)^2) mEquivalent horizontal distance =
distance*1000/sqrt(1+(grade/100)^2) mIncline angle =
atan(grade/100)*180/pi degreesWorked example
- Belt distance (km): 5
- Incline grade (%): 10
- Equivalent vertical gain: 497.52 m
- Equivalent horizontal distance: 4,975.19 m
- Incline angle: 5.71 degrees
Assumptions and limits
Belt distance is measured along the slope. Percent grade is rise divided by horizontal run, not degrees. This geometry does not estimate calorie use or outdoor training equivalence.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Resolve treadmill belt distance into equivalent horizontal travel and vertical gain. The belt distance is the hypotenuse of a right triangle. An incline percentage cannot be multiplied by belt distance without this distinction.
When this tool is useful
The belt distance is the hypotenuse of a right triangle. An incline percentage cannot be multiplied by belt distance without this distinction.
Understanding your inputs
| Input | Example |
|---|---|
Belt distance (km) distance | 5 |
Incline grade (%) grade | 10 |
Frequently asked questions
What assumptions should I check?
Belt distance is measured along the slope. Percent grade is rise divided by horizontal run, not degrees. This geometry does not estimate calorie use or outdoor training equivalence.
How can I check the result?
Start with the labelled example. Keep units consistent, calculate without intermediate rounding and change one input at a time. The diagram explains the model; the result table supplies the numerical answer.