Maximum Weight of Explosives given Scaled Distance for Vibration Control Calculator

✖Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range.ⓘ Distance from Explosion to Exposure [D]			+10% -10%
✖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.ⓘ Constant of Scaled Distance β [β]			+10% -10%
✖Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context.ⓘ Constant of Scaled Distance [H]			+10% -10%
✖Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.ⓘ Scaled Distance [D_scaled]			+10% -10%

✖Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations.ⓘ Maximum Weight of Explosives given Scaled Distance for Vibration Control [W]

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Formula

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Maximum Weight of Explosives given Scaled Distance for Vibration Control

Formula

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

Example

60.65181 kg = {({(5.01 m)}^{- 2.02} \cdot (\frac{2.01}{4.9 m}))}^{- \frac{2}{2.02}}

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Maximum Weight of Explosives given Scaled Distance for Vibration Control Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W = ((D)^(-β)*(H/D_scaled))^(-2/β)
This formula uses 5 Variables

Variables Used

Maximum Weight of Explosives per Delay - (Measured in Kilogram) - Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations.
Distance from Explosion to Exposure - (Measured in Meter) - Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range.
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.
Constant of Scaled Distance - Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context.
Scaled Distance - (Measured in Meter) - Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.

STEP 1: Convert Input(s) to Base Unit

Distance from Explosion to Exposure: 5.01 Meter --> 5.01 Meter No Conversion Required
Constant of Scaled Distance β: 2.02 --> No Conversion Required
Constant of Scaled Distance: 2.01 --> No Conversion Required
Scaled Distance: 4.9 Meter --> 4.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = ((D)^(-β)*(H/D_scaled))^(-2/β) --> ((5.01)^(-2.02)*(2.01/4.9))^(-2/2.02)

Evaluating ... ...

W = 60.6518135099792

STEP 3: Convert Result to Output's Unit

60.6518135099792 Kilogram --> No Conversion Required

FINAL ANSWER

60.6518135099792 ≈ 60.65181 Kilogram <-- Maximum Weight of Explosives per Delay

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Vibration Control in Blasting Calculators

Velocity of Particle One at Distance from Explosion

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

Go Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)

Wavelength of Vibrations caused by Blasting

Go Wavelength of Vibration = (Velocity of Vibration/Frequency of Vibration)

Velocity of Vibrations caused by Blasting

Go Velocity of Vibration = (Wavelength of Vibration*Frequency of Vibration)

Maximum Weight of Explosives given Scaled Distance for Vibration Control Formula

What is Scaled Distance?

Scaled Distance (SD) is a scaling factor that relates similar blast effects from various charge weights of the same explosive at various distances. Scaled distance is calculated by dividing the distance to the structure of concern by a fractional power of the weight of the explosive material.

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

Maximum Weight of Explosives given Scaled Distance for Vibration Control calculator 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 calculate 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 calculate Maximum Weight of Explosives given Scaled Distance for Vibration Control using this online calculator? To use this online calculator 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. Here is how the Maximum Weight of Explosives given Scaled Distance for Vibration Control calculation can be explained with given input values -> 61.87723 = ((5.01)^(-2.02)*(2.01/4.9))^(-2/2.02).

FAQ

What is Maximum Weight of Explosives given Scaled Distance for Vibration Control?

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 and is represented as W = ((D)^(-β)*(H/D_scaled))^(-2/β) or 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). Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range, 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, Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context & Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.

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

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 is calculated using 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 calculate Maximum Weight of Explosives given Scaled Distance for Vibration Control, you need Distance from Explosion to Exposure (D), Constant of Scaled Distance β (β), Constant of Scaled Distance (H) & Scaled Distance (D_scaled). With our tool, you need to enter the respective value for Distance from Explosion to Exposure, Constant of Scaled Distance β, Constant of Scaled Distance & Scaled Distance 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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