Enter the elevation gain (ft) and the horizontal distance (ft) into the Calculator. The calculator will evaluate the Incline Rate.
Incline Rate Formula
INCR = EG / HD
Variables:
- INCR is the Incline Rate (ft/ft)
- EG is the elevation gain (ft)
- HD is the horizontal distance (ft)
To calculate Incline Rate, divide the elevation gain by the horizontal distance.
How to Calculate Incline Rate?
The following steps outline how to calculate the Incline Rate.
- First, determine the elevation gain (ft).
- Next, determine the horizontal distance (ft).
- Next, gather the formula from above = INCR = EG / HD.
- Finally, calculate the Incline Rate.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
elevation gain (ft) = 100
horizontal distance (ft) = 200
Frequently Asked Questions
What is the importance of calculating the incline rate?
Calculating the incline rate is crucial for understanding the steepness of a slope, which can be important for construction projects, road design, hiking trail planning, and any situation where moving across a gradient is involved. It helps in assessing the difficulty and potential energy expenditure required to traverse the slope.
Can the incline rate formula be used for any unit of measurement?
Yes, the incline rate formula (INCR = EG / HD) is unit-agnostic, meaning it can be applied using any consistent units of measurement for elevation gain (EG) and horizontal distance (HD), such as meters or kilometers, as long as both measurements use the same unit.
How does the incline rate affect energy expenditure during hiking or biking?
The incline rate directly impacts the amount of energy a person expends while hiking or biking uphill. A steeper incline rate (higher INCR value) requires more effort and energy to overcome gravity, leading to higher energy expenditure. Understanding the incline rate can help hikers and bikers prepare adequately for the physical demands of a route.
Is there a maximum incline rate that is considered too steep for vehicles or pedestrians?
Yes, there are recommended maximum incline rates for both vehicles and pedestrians to ensure safety and usability. For vehicles, the maximum incline rate can vary based on the type of vehicle and road conditions but typically ranges from 7% to 15%. For pedestrian pathways, the Americans with Disabilities Act (ADA) recommends a maximum slope of 1:12 (8.33%). These guidelines help in designing roads and pathways that are safe and accessible for all users.
