In a VCR stope, blast holes of 165 mm diameter are drilled. For the blast hole to behave as a spherical charge, the maximum charge length, in m, is ______. (round off up to 2 decim... In a VCR stope, blast holes of 165 mm diameter are drilled. For the blast hole to behave as a spherical charge, the maximum charge length, in m, is ______. (round off up to 2 decimals)
Understand the Problem
The question is asking for the maximum charge length in a VCR stope where blast holes of a certain diameter are drilled, specifically how it relates to the behavior of spherical charges in mining engineering.
Answer
The maximum charge length is $0.08 \text{ m}$.
Answer for screen readers
The maximum charge length, rounded to two decimals, is $0.08 \text{ m}$.
Steps to Solve
- Identify the Diameter of the Blast Hole
The diameter of the blast hole is given as 165 mm. To work with standard units, we need to convert this diameter into meters.
[ \text{Diameter in meters} = \frac{165 \text{ mm}}{1000} = 0.165 \text{ m} ]
- Determine the Maximum Charge Length
For a spherical charge, the maximum charge length can typically be calculated using the formula:
[ \text{Max Charge Length} = \frac{D}{2} ]
where (D) is the diameter of the blast hole.
Substituting the diameter we converted in the previous step:
[ \text{Max Charge Length} = \frac{0.165 \text{ m}}{2} = 0.0825 \text{ m} ]
- Final Calculation
Now, we round off the result to two decimal places:
[ \text{Max Charge Length} \approx 0.08 \text{ m} ]
The maximum charge length, rounded to two decimals, is $0.08 \text{ m}$.
More Information
The calculation of maximum charge length is relevant in mining engineering, particularly in controlling the efficiency of blasting operations. Understanding the behavior of spherical charges helps in optimizing the fragmentation of rock.
Tips
- Confusing diameter with radius; remember that the maximum charge length is half of the diameter.
- Forgetting to convert units, especially from mm to meters, which is essential for consistent calculations.
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