Calculate the gradient of a road (4km) intervals from a given roundabout the different height between the two end point the road is 400mm?
To calculate the gradient of a road, you need to determine the change in height (also known as "vertical rise") between two points and the horizontal distance between those points.
In this case, the road is divided into 4km intervals from a given roundabout, and the height difference between the two endpoints of each interval is 400mm.
To calculate the gradient for each interval, you can use the formula:
Gradient = Vertical Rise / Horizontal Distance
Given that the height difference between the two endpoints is 400mm, and the horizontal distance between them is 4km (which is 4000 meters), let's calculate the gradient for one interval:
Vertical Rise = 400mm
Horizontal Distance = 4km = 4000m
First, we need to convert the vertical rise from millimeters to meters since the horizontal distance is in meters as well:
Vertical Rise = 400mm = 400mm / 1000 = 0.4m
Now, we can calculate the gradient:
Gradient = Vertical Rise / Horizontal Distance = 0.4m / 4000m = 0.0001
Therefore, the gradient for this interval is 0.0001. This means that for every meter you travel horizontally, the road rises by 0.0001 meters or 0.1 millimeters.
Repeat the same steps to calculate the gradient for each interval by using the given height difference and horizontal distance for each segment.