Soil and Water Conservation Engineering · Soil and Water Erosion · 1 mark · Numerical answer
In the USLE slope-length relation, the stated exponent is .5 (the source calls this the soil-loss ratio). Slope length from the divide is 600 m, standard plot length 22.13 m, and gradient 8%. Find the topographic factor, to two decimals.
Use $LS=(\lambda/22.13)^m(.065+.045s+.0065s^2)$ with m=.5 and percent slope s=8. The slope factor is .841 and length factor is 5.20697, giving **LS=4.38**. The source’s wording calls .5 a soil-loss ratio; the official result treats it as exponent m. A literal length-factor value .5 would not give this result.
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