Gradient Formula:
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Gradient in earth science refers to the rate of change in elevation over a given horizontal distance. It is a fundamental concept used in topography, hydrology, and geology to describe the steepness of slopes and terrain features.
The calculator uses the gradient formula:
Where:
Explanation: The formula calculates how much the elevation changes for every kilometer of horizontal distance, providing a standardized measure of slope steepness.
Details: Gradient calculations are essential for understanding stream flow rates, erosion patterns, landslide risks, and for planning construction projects in varied terrain.
Tips: Enter elevation change in meters and horizontal distance in kilometers. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is a typical gradient range for streams?
A: Mountain streams may have gradients of 10-100 m/km, while lowland rivers typically range from 0.1-5 m/km.
Q2: How is gradient different from slope?
A: Gradient is typically expressed as a ratio (m/km), while slope is often expressed as a percentage or angle, but both describe terrain steepness.
Q3: Why use kilometers for distance in gradient calculation?
A: Using kilometers provides a standardized unit that makes gradients easily comparable across different geographical scales.
Q4: Can gradient be negative?
A: In earth science applications, gradient is typically expressed as a positive value representing the magnitude of slope steepness.
Q5: How does gradient affect water flow?
A: Steeper gradients result in faster water flow, increased erosion potential, and greater stream energy.