A Granular Substance Such as Sand Naturally Settles into a Cone-Shaped

question 172

Multiple Choice

A granular substance such as sand naturally settles into a cone-shaped pile when poured from a small aperture.Its height depends on the humidity and adhesion between granules.The angle of elevation of a pile, $\theta$ , is called the angle of repose.If the height of a pile of sand is 14 feet and its diameter is approximately 47 feet, determine the angle of repose.Round your answer to the nearest degree.

• A) \(27 ^ { \circ }\)
• B) \(29 ^ { \circ }\)
• C) \(28 ^ { \circ }\)
• D) \(30 ^ { \circ }\)
• E) \(31 ^ { \circ }\)