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Scaled Distance for Vibration Control Formula

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

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

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

Scaled Distance for Vibration Control Example

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Here is how the Scaled Distance for Vibration Control equation looks like with Values.

Here is how the Scaled Distance for Vibration Control equation looks like with Units.

Here is how the Scaled Distance for Vibration Control equation looks like.

5.01 = 2.01 \cdot {(\frac{5.01}{\sqrt{62}})}^{- 2.02}

5.01m = 2.01 \cdot {(\frac{5.01m}{\sqrt{62kg}})}^{- 2.02}

5.01 = 2.01 \cdot {(\frac{5.01}{\sqrt{62}})}^{- 2.02}

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Scaled Distance for Vibration Control Solution

Follow our step by step solution on how to calculate Scaled Distance for Vibration Control?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D scaled = 2.01 \cdot {(\frac{5.01m}{\sqrt{62kg}})}^{- 2.02}

Next Step Prepare to Evaluate

∴

D scaled = 2.01 \cdot {(\frac{5.01}{\sqrt{62}})}^{- 2.02}

Next Step Evaluate

∴

D scaled = 5.01001997678493m

LAST Step Rounding Answer

∴

D scaled = 5.01m

Scaled Distance for Vibration Control Formula Elements

Variables

Functions

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

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

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

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

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

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)

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 Scaled Distance for Vibration Control?

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

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

FAQs on Scaled Distance for Vibration Control

What is the formula to find Scaled Distance for Vibration Control?

The formula of Scaled Distance for Vibration Control is expressed as Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β). Here is an example- 5.01002 = 2.01*(5.01/sqrt(62))^(-2.02).

How to calculate Scaled Distance for Vibration Control?

With Constant of Scaled Distance (H), Distance from Explosion to Exposure (D), Maximum Weight of Explosives per Delay (W) & Constant of Scaled Distance β (β) we can find Scaled Distance for Vibration Control using the formula - Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β). This formula also uses Square Root (sqrt) function(s).

Can the Scaled Distance for Vibration Control be negative?

No, the Scaled Distance for Vibration Control, measured in Length cannot be negative.

Which unit is used to measure Scaled Distance for Vibration Control?

Scaled Distance for Vibration Control is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Scaled Distance for Vibration Control can be measured.

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Scaled Distance for Vibration Control Formula

Scaled Distance for Vibration Control Example

Scaled Distance for Vibration Control Solution

Scaled Distance for Vibration Control Formula Elements

Other formulas in Vibration Control in Blasting category

How to Evaluate Scaled Distance for Vibration Control?

FAQs on Scaled Distance for Vibration Control

Variable Name