a.
Find the angle of repose for rock salt.
a.
Answer to Problem 106E
Explanation of Solution
Given information:
Different types of granular substances naturally settle at different angles when stored in cone-shaped piles. This angle
Find the angle of repose for rock salt.
Calculation:
Consider that when rock salt is stored in a cone- shaped pile
Since the diameter of the base is
Apply the formula of the tangent function in the right-angled triangle containing
Use the TI-83 calculator to evaluate the value of the expression,
Set mode to Radian using keystroke
Use keystrokes
Result which appear is,
Note that the number
Also, note that
Hence angle of repose is
b.
How tall is a pile of rock salt that has a base diameter of
b.
Answer to Problem 106E
Explanation of Solution
Given information:
Different types of granular substances naturally settle at different angles when stored in cone-shaped piles. This angle
How tall is a pile of rock salt that has a base diameter of
Calculation:
Consider that when rock salt is stored in a cone- shaped pile
Now the base-diameter of the rock salt is
Let the height of the pile be
Therefore, the angle of repose is a characteristic of granular substance. Hence, angle of repose remains same for this particular type of granular substance that is rock-salt.
Apply the formula of the tangent function in the right-angled triangle containing
Hence, the height of the pile of rock-salt when the diameter of the pile’s base is
Chapter 4 Solutions
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