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Distance to Exposure given Scaled Distance for Vibration Control Formula

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

D = \sqrt{W} \cdot {(\frac{D scaled}{H})}^{- \frac{1}{β}}

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

Distance to Exposure given Scaled Distance for Vibration Control Example

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

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

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

5.0654 = \sqrt{62} \cdot {(\frac{4.9}{2.01})}^{- \frac{1}{2.02}}

5.0654m = \sqrt{62kg} \cdot {(\frac{4.9m}{2.01})}^{- \frac{1}{2.02}}

5.0654 = \sqrt{62} \cdot {(\frac{4.9}{2.01})}^{- \frac{1}{2.02}}

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Distance to Exposure given Scaled Distance for Vibration Control Solution

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

FIRST Step Consider the formula

D = \sqrt{W} \cdot {(\frac{D scaled}{H})}^{- \frac{1}{β}}

Next Step Substitute values of Variables

∴

D = \sqrt{62kg} \cdot {(\frac{4.9m}{2.01})}^{- \frac{1}{2.02}}

Next Step Prepare to Evaluate

∴

D = \sqrt{62} \cdot {(\frac{4.9}{2.01})}^{- \frac{1}{2.02}}

Next Step Evaluate

∴

D = 5.0653758462081m

LAST Step Rounding Answer

∴

D = 5.0654m

Distance to Exposure given Scaled Distance for Vibration Control Formula Elements

Variables

Functions

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

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

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 Distance to Exposure given Scaled Distance for Vibration Control?

Distance to Exposure given Scaled Distance for Vibration Control evaluator uses Distance from Explosion to Exposure = sqrt(Maximum Weight of Explosives per Delay)*(Scaled Distance/Constant of Scaled Distance)^(-1/Constant of Scaled Distance β) to evaluate the Distance from Explosion to Exposure, The Distance to Exposure given Scaled Distance for Vibration Control is defined as the distance from explosion to exposure when weight and scaled distance is known. Distance from Explosion to Exposure is denoted by D symbol.

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

FAQs on Distance to Exposure given Scaled Distance for Vibration Control

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

The formula of Distance to Exposure given Scaled Distance for Vibration Control is expressed as Distance from Explosion to Exposure = sqrt(Maximum Weight of Explosives per Delay)*(Scaled Distance/Constant of Scaled Distance)^(-1/Constant of Scaled Distance β). Here is an example- 5.014968 = sqrt(62)*(4.9/2.01)^(-1/2.02).

How to calculate Distance to Exposure given Scaled Distance for Vibration Control?

With Maximum Weight of Explosives per Delay (W), Scaled Distance (D_scaled), Constant of Scaled Distance (H) & Constant of Scaled Distance β (β) we can find Distance to Exposure given Scaled Distance for Vibration Control using the formula - Distance from Explosion to Exposure = sqrt(Maximum Weight of Explosives per Delay)*(Scaled Distance/Constant of Scaled Distance)^(-1/Constant of Scaled Distance β). This formula also uses Square Root (sqrt) function(s).

Can the Distance to Exposure given Scaled Distance for Vibration Control be negative?

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

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

Distance to Exposure given 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 Distance to Exposure given Scaled Distance for Vibration Control can be measured.

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Distance to Exposure given Scaled Distance for Vibration Control Formula

Distance to Exposure given Scaled Distance for Vibration Control Example

Distance to Exposure given Scaled Distance for Vibration Control Solution

Distance to Exposure given Scaled Distance for Vibration Control Formula Elements

Other formulas in Vibration Control in Blasting category

How to Evaluate Distance to Exposure given Scaled Distance for Vibration Control?

FAQs on Distance to Exposure given Scaled Distance for Vibration Control

Variable Name