This online calculator is designed for performing calculations using the method of linear interpolation. It allows for quick and accurate calculation of intermediate function values, as well as values outside the range of a known data set using extrapolation. With its intuitive interface, this tool can be applied to various engineering tasks, such as calculating pipeline elevations, road levels, and other linear structures.
Instructions for using the calculator:
- Enter the coordinates of the first point: "x1" and "y1".
- Enter the coordinates of the second point: "x2" and "y2".
- Input the value of "x" for which you need to find "y".
After entering the data, you will get the result — the calculated value of "y", displayed both on the graph and in the "Solution" section. The target points on the graph are highlighted in red. In the "Solution" section, the calculation method will be specified: interpolation if the value of "x" is between "x1" and "x2", or extrapolation if "x" is outside of these values.
Method features:
- Interpolation is used when the value lies within the known data range and is represented on the graph by a blue line.
- Extrapolation is used for calculations beyond the known data range, which is marked on the graph with red points outside the blue line.
Example:
Let's assume we have a sewer pipe that is 6 meters long. The elevation at the beginning of the pipe is 170.510 m, and at the end, it is 170.660 m. We need to determine the elevation 4.5 meters from the start of the pipe. We input the corresponding values into the calculator and get the result of 170.623 m, which is highlighted in blue on the graph.
This linear interpolation and extrapolation calculator can be useful for a variety of engineering and construction calculations. Share it with colleagues and use it in your projects for fast and accurate calculation of intermediate values.
