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

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Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance. Check FAQs

d b = (B L \cdot 33) \cdot \sqrt{\frac{c \cdot D f \cdot EV}{D p \cdot s}}

d_b - Diameter of Drill Bit?B_L - Burden in Langefors' Formula?c - Rock Constant?D_f - Degree of Fraction?EV - Ratio of Spacing to Burden?D_p - Degree of Packing?s - Weight Strength of Explosive?

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

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Here is how the Diameter of Drill Bit using Burden Suggested in Langefors' Formula equation looks like with Values.

Here is how the Diameter of Drill Bit using Burden Suggested in Langefors' Formula equation looks like with Units.

Here is how the Diameter of Drill Bit using Burden Suggested in Langefors' Formula equation looks like.

97.7126 = (0.01 \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01 \cdot 5}}

97.7126mm = (0.01m \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01kg/dm³ \cdot 5}}

97.7126 = (0.01 \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01 \cdot 5}}

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

Follow our step by step solution on how to calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

FIRST Step Consider the formula

d b = (B L \cdot 33) \cdot \sqrt{\frac{c \cdot D f \cdot EV}{D p \cdot s}}

Next Step Substitute values of Variables

∴

d b = (0.01m \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01kg/dm³ \cdot 5}}

Next Step Convert Units

∴

d b = (10mm \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01kg/dm³ \cdot 5}}

Next Step Prepare to Evaluate

∴

d b = (10 \cdot 33) \cdot \sqrt{\frac{1.3 \cdot 2.03 \cdot 0.5}{3.01 \cdot 5}}

Next Step Evaluate

∴

d b = 0.0977125589985572m

Next Step Convert to Output's Unit

∴

d b = 97.7125589985572mm

LAST Step Rounding Answer

∴

d b = 97.7126mm

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

Variables

Functions

Diameter of Drill Bit

Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance.

Symbol: d_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Drill Bit

Burden in Langefors' Formula

Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.

Symbol: B_L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Burden in Langefors' Formula

Rock Constant

Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rock Constant

Degree of Fraction

Degree of Fraction is used for hole characteristics.

Symbol: D_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Fraction

Ratio of Spacing to Burden

Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements.

Symbol: EV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Spacing to Burden

Degree of Packing

Degree of Packing is the loading weight per unit of nominal volume.

Symbol: D_p

Measurement: DensityUnit: kg/dm³

Note: Value should be greater than 0.

Formulas to find Degree of Packing

Weight Strength of Explosive

Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Weight Strength of Explosive

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.

Syntax: sqrt(Number)

Other formulas in Vibration Control in Blasting category

Go Wavelength of Vibrations caused by Blasting

λ v = (\frac{V}{f})

Go Velocity of Vibrations caused by Blasting

V = (λ v \cdot f)

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

Diameter of Drill Bit using Burden Suggested in Langefors' Formula evaluator 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 evaluate 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 d_b symbol.

How to evaluate Diameter of Drill Bit using Burden Suggested in Langefors' Formula using this online evaluator? To use this online evaluator for Diameter of Drill Bit using Burden Suggested in Langefors' Formula, enter Burden in Langefors' Formula (B_L), Rock Constant (c), Degree of Fraction (D_f), Ratio of Spacing to Burden (EV), Degree of Packing (D_p) & Weight Strength of Explosive (s) and hit the calculate button.

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

What is the formula to find Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

The formula of Diameter of Drill Bit using Burden Suggested in Langefors' Formula is expressed as 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)). Here is an example- 97875.28 = (0.01*33)*sqrt((1.3*2.03*0.5)/(3010*5)).

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

With Burden in Langefors' Formula (B_L), Rock Constant (c), Degree of Fraction (D_f), Ratio of Spacing to Burden (EV), Degree of Packing (D_p) & Weight Strength of Explosive (s) we can find Diameter of Drill Bit using Burden Suggested in Langefors' Formula using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Diameter of Drill Bit using Burden Suggested in Langefors' Formula be negative?

No, the Diameter of Drill Bit using Burden Suggested in Langefors' Formula, measured in Length cannot be negative.

Which unit is used to measure Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

Diameter of Drill Bit using Burden Suggested in Langefors' Formula is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Drill Bit using Burden Suggested in Langefors' Formula can be measured.

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

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

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

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

Other formulas in Vibration Control in Blasting category

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

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

Variable Name