Different types of granular substances naturally settle at different angles when stored

Chapter 5, Problem 99

(choose chapter or problem)

Different types of granular substances naturally settle at different angles when stored in cone-shaped piles. This angle \(\theta\) is called the angle of repose. When rock salt is stored in a cone-shaped pile 5.5 meters high, the diameter of the pile’s base is about 17 meters. (Source: Bulk-Store Structures, Inc.)

(a) Draw a diagram that gives a visual representation of the problem. Label all quantities.

(b) Find the angle of repose for rock salt.

(c) How tall is a pile of rock salt that has a base diameter of 25 meters?

Text Transcription:

theta

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