Hack's law

High school (ages 12+)
Geography

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/hacks-law

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. Who discovered Hack's law?John Tilton Hack, American geomorphologist
2. What is the scaling behavior?Sub-linear scaling observed, meaning stream length increases proportionally slower than basin area
3. What is the scope of application?Observed in various river basins and also on unchanneled small-scale surfaces
4. How does Hack's Law relate river length and basin area?It says that the longest river length L equals a constant times the basin area A raised to the power h (L = C A^h).
5. Why is the exponent 'h' important?The exponent h is usually a little less than 0.6 and tells us that as the basin gets bigger, the river gets longer, but not as fast.

Empirical Relationship: A correlation derived from observation and data rather than purely theoretical principles.
Fluvial Geomorphology: The scientific study of landforms created by rivers and streams.
Power-Law Scaling: A relationship where one quantity varies as a power of another, often seen in natural systems.
Drainage Basin: The area of land from which precipitation collects and drains into a common outlet, such as a river or lake.