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Maximum Weight of Explosives given Scaled Distance for Vibration Control Formula

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Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations. Check FAQs

W = {({(D)}^{- β} \cdot (\frac{H}{D scaled}))}^{- \frac{2}{β}}

W - Maximum Weight of Explosives per Delay?D - Distance from Explosion to Exposure?β - Constant of Scaled Distance β?H - Constant of Scaled Distance?D_scaled - Scaled Distance?

Maximum Weight of Explosives given Scaled Distance for Vibration Control Example

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Here is how the Maximum Weight of Explosives given Scaled Distance for Vibration Control equation looks like with Values.

Here is how the Maximum Weight of Explosives given Scaled Distance for Vibration Control equation looks like with Units.

Here is how the Maximum Weight of Explosives given Scaled Distance for Vibration Control equation looks like.

60.6518 = {({(5.01)}^{- 2.02} \cdot (\frac{2.01}{4.9}))}^{- \frac{2}{2.02}}

60.6518kg = {({(5.01m)}^{- 2.02} \cdot (\frac{2.01}{4.9m}))}^{- \frac{2}{2.02}}

60.6518 = {({(5.01)}^{- 2.02} \cdot (\frac{2.01}{4.9}))}^{- \frac{2}{2.02}}

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Maximum Weight of Explosives given Scaled Distance for Vibration Control Solution

Follow our step by step solution on how to calculate Maximum Weight of Explosives given Scaled Distance for Vibration Control?

FIRST Step Consider the formula

W = {({(D)}^{- β} \cdot (\frac{H}{D scaled}))}^{- \frac{2}{β}}

Next Step Substitute values of Variables

∴

W = {({(5.01m)}^{- 2.02} \cdot (\frac{2.01}{4.9m}))}^{- \frac{2}{2.02}}

Next Step Prepare to Evaluate

∴

W = {({(5.01)}^{- 2.02} \cdot (\frac{2.01}{4.9}))}^{- \frac{2}{2.02}}

Next Step Evaluate

∴

W = 60.6518135099792kg

LAST Step Rounding Answer

∴

W = 60.6518kg

Maximum Weight of Explosives given Scaled Distance for Vibration Control Formula Elements

Variables

Maximum Weight of Explosives per Delay

Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations.

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Maximum Weight of Explosives per Delay

Distance from Explosion to Exposure

Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Explosion to Exposure

Constant of Scaled Distance β

Constant of Scaled Distance β is a number that is used to multiply the dimensions of an object or physical quantity in order to convert it to different measurement scale.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant of Scaled Distance β

Constant of Scaled Distance

Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context.

Symbol: H

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant of Scaled Distance

Scaled Distance

Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.

Symbol: D_scaled

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Scaled Distance

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)

Go Velocity of Particles disturbed by Vibrations

v = (2 \cdot π \cdot f \cdot A)

Go Velocity of Particle One at Distance from Explosion

v 1 = v 2 \cdot {(\frac{D 2}{D 1})}^{1.5}

How to Evaluate Maximum Weight of Explosives given Scaled Distance for Vibration Control?

Maximum Weight of Explosives given Scaled Distance for Vibration Control evaluator uses Maximum Weight of Explosives per Delay = ((Distance from Explosion to Exposure)^(-Constant of Scaled Distance β)*(Constant of Scaled Distance/Scaled Distance))^(-2/Constant of Scaled Distance β) to evaluate the Maximum Weight of Explosives per Delay, The Maximum Weight of Explosives given Scaled Distance for Vibration Control is defined as the value of maximum weight of explosives when we have prior information of distance and scaled distance. Maximum Weight of Explosives per Delay is denoted by W symbol.

How to evaluate Maximum Weight of Explosives given Scaled Distance for Vibration Control using this online evaluator? To use this online evaluator for Maximum Weight of Explosives given Scaled Distance for Vibration Control, enter Distance from Explosion to Exposure (D), Constant of Scaled Distance β (β), Constant of Scaled Distance (H) & Scaled Distance (D_scaled) and hit the calculate button.

FAQs on Maximum Weight of Explosives given Scaled Distance for Vibration Control

What is the formula to find Maximum Weight of Explosives given Scaled Distance for Vibration Control?

The formula of Maximum Weight of Explosives given Scaled Distance for Vibration Control is expressed as Maximum Weight of Explosives per Delay = ((Distance from Explosion to Exposure)^(-Constant of Scaled Distance β)*(Constant of Scaled Distance/Scaled Distance))^(-2/Constant of Scaled Distance β). Here is an example- 61.87723 = ((5.01)^(-2.02)*(2.01/4.9))^(-2/2.02).

How to calculate Maximum Weight of Explosives given Scaled Distance for Vibration Control?

With Distance from Explosion to Exposure (D), Constant of Scaled Distance β (β), Constant of Scaled Distance (H) & Scaled Distance (D_scaled) we can find Maximum Weight of Explosives given Scaled Distance for Vibration Control using the formula - Maximum Weight of Explosives per Delay = ((Distance from Explosion to Exposure)^(-Constant of Scaled Distance β)*(Constant of Scaled Distance/Scaled Distance))^(-2/Constant of Scaled Distance β).

Can the Maximum Weight of Explosives given Scaled Distance for Vibration Control be negative?

No, the Maximum Weight of Explosives given Scaled Distance for Vibration Control, measured in Weight cannot be negative.

Which unit is used to measure Maximum Weight of Explosives given Scaled Distance for Vibration Control?

Maximum Weight of Explosives given Scaled Distance for Vibration Control is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Maximum Weight of Explosives given Scaled Distance for Vibration Control can be measured.

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Maximum Weight of Explosives given Scaled Distance for Vibration Control Formula

Maximum Weight of Explosives given Scaled Distance for Vibration Control Example

Maximum Weight of Explosives given Scaled Distance for Vibration Control Solution

Maximum Weight of Explosives given Scaled Distance for Vibration Control Formula Elements

Other formulas in Vibration Control in Blasting category

How to Evaluate Maximum Weight of Explosives given Scaled Distance for Vibration Control?

FAQs on Maximum Weight of Explosives given Scaled Distance for Vibration Control

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