Diameter of Drill Bit using Burden Suggested in Langefors' Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive))
db = (BL*33)*sqrt((c*Df*EV)/(Dp*s))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of Drill Bit - (Measured in Millimeter) - Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance.
Burden in Langefors' Formula - (Measured in Millimeter) - Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.
Rock Constant - Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics.
Degree of Fraction - Degree of Fraction is used for hole characteristics.
Ratio of Spacing to Burden - Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements.
Degree of Packing - (Measured in Kilogram per Cubic Decimeter) - Degree of Packing is the loading weight per unit of nominal volume.
Weight Strength of Explosive - Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.
STEP 1: Convert Input(s) to Base Unit
Burden in Langefors' Formula: 0.01 Meter --> 10 Millimeter (Check conversion ​here)
Rock Constant: 1.3 --> No Conversion Required
Degree of Fraction: 2.03 --> No Conversion Required
Ratio of Spacing to Burden: 0.5 --> No Conversion Required
Degree of Packing: 3.01 Kilogram per Cubic Decimeter --> 3.01 Kilogram per Cubic Decimeter No Conversion Required
Weight Strength of Explosive: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
db = (BL*33)*sqrt((c*Df*EV)/(Dp*s)) --> (10*33)*sqrt((1.3*2.03*0.5)/(3.01*5))
Evaluating ... ...
db = 97.7125589985572
STEP 3: Convert Result to Output's Unit
0.0977125589985572 Meter -->97.7125589985572 Millimeter (Check conversion ​here)
FINAL ANSWER
97.7125589985572 97.71256 Millimeter <-- Diameter of Drill Bit
(Calculation completed in 00.006 seconds)

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Vibration Control in Blasting Calculators

Velocity of Particle One at Distance from Explosion
​ LaTeX ​ Go Velocity of Particle with Mass m1 = Velocity of Particle with Mass m2*(Distance of Particle 2 from Explosion/Distance of Particle 1 from Explosion)^(1.5)
Velocity of Particles disturbed by Vibrations
​ LaTeX ​ Go Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)
Wavelength of Vibrations caused by Blasting
​ LaTeX ​ Go Wavelength of Vibration = (Velocity of Vibration/Frequency of Vibration)
Velocity of Vibrations caused by Blasting
​ LaTeX ​ Go Velocity of Vibration = (Wavelength of Vibration*Frequency of Vibration)

Diameter of Drill Bit using Burden Suggested in Langefors' Formula Formula

​LaTeX ​Go
Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive))
db = (BL*33)*sqrt((c*Df*EV)/(Dp*s))

What is Burden?

The burden is the distance from the blast hole to the nearest perpendicular free face. The true burden can vary depending upon the delay system used for the blast.

How to Calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

Diameter of Drill Bit using Burden Suggested in Langefors' Formula calculator uses Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive)) to calculate the Diameter of Drill Bit, The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing . Diameter of Drill Bit is denoted by db symbol.

How to calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula using this online calculator? To use this online calculator for Diameter of Drill Bit using Burden Suggested in Langefors' Formula, enter Burden in Langefors' Formula (BL), Rock Constant (c), Degree of Fraction (Df), Ratio of Spacing to Burden (EV), Degree of Packing (Dp) & Weight Strength of Explosive (s) and hit the calculate button. Here is how the Diameter of Drill Bit using Burden Suggested in Langefors' Formula calculation can be explained with given input values -> 97875.28 = (0.01*33)*sqrt((1.3*2.03*0.5)/(3010*5)).

FAQ

What is Diameter of Drill Bit using Burden Suggested in Langefors' Formula?
The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing and is represented as db = (BL*33)*sqrt((c*Df*EV)/(Dp*s)) or Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive)). Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations, Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics, Degree of Fraction is used for hole characteristics, Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements, Degree of Packing is the loading weight per unit of nominal volume & Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.
How to calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula?
The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing is calculated using Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive)). To calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula, you need Burden in Langefors' Formula (BL), Rock Constant (c), Degree of Fraction (Df), Ratio of Spacing to Burden (EV), Degree of Packing (Dp) & Weight Strength of Explosive (s). With our tool, you need to enter the respective value for Burden in Langefors' Formula, Rock Constant, Degree of Fraction, Ratio of Spacing to Burden, Degree of Packing & Weight Strength of Explosive and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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