Distance of Particle One from Site of Explosion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3)
D1 = D2*(v2/v1)^(2/3)
This formula uses 4 Variables
Variables Used
Distance of Particle 1 from Explosion - (Measured in Meter) - Distance of Particle 1 from Explosion is the physical space between the explosion's point of origin and particle 1's location.
Distance of Particle 2 from Explosion - (Measured in Meter) - Distance of Particle 2 from Explosion is the spatial measure of its position relative to the origin point.
Velocity of Particle with Mass m2 - (Measured in Meter per Second) - Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
Velocity of Particle with Mass m1 - (Measured in Meter per Second) - Velocity of Particle with Mass m1 is the rate at which particle (of mass m1) moves.
STEP 1: Convert Input(s) to Base Unit
Distance of Particle 2 from Explosion: 2 Meter --> 2 Meter No Conversion Required
Velocity of Particle with Mass m2: 1.8 Meter per Second --> 1.8 Meter per Second No Conversion Required
Velocity of Particle with Mass m1: 1.6 Meter per Second --> 1.6 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D1 = D2*(v2/v1)^(2/3) --> 2*(1.8/1.6)^(2/3)
Evaluating ... ...
D1 = 2.16337435546111
STEP 3: Convert Result to Output's Unit
2.16337435546111 Meter --> No Conversion Required
FINAL ANSWER
2.16337435546111 2.163374 Meter <-- Distance of Particle 1 from Explosion
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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22 Vibration Control in Blasting Calculators

Diameter of Drill Bit using Burden Suggested in Langefors' Formula
Go 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))
Weight Strength of Explosive using Burden Suggested in Langefors' Formula
Go Weight Strength of Explosive = (33*Burden in Langefors' Formula/Diameter of Drill Bit)^2*((Ratio of Spacing to Burden*Rock Constant*Degree of Fraction)/Degree of Packing)
Maximum Weight of Explosives given Scaled Distance for Vibration Control
Go 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 to Exposure given Scaled Distance for Vibration Control
Go Distance from Explosion to Exposure = sqrt(Maximum Weight of Explosives per Delay)*(Scaled Distance/Constant of Scaled Distance)^(-1/Constant of Scaled Distance β)
Scaled Distance for Vibration Control
Go Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β)
Distance of Particle Two from Site of Explosion given Velocity
Go Distance of Particle 2 from Explosion = Distance of Particle 1 from Explosion*(Velocity of Particle with Mass m1/Velocity of Particle with Mass m2)^(2/3)
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 Particle Two at distance from Explosion
Go Velocity of Particle with Mass m2 = Velocity of Particle with Mass m1*(Distance of Particle 1 from Explosion/Distance of Particle 2 from Explosion)^(1.5)
Distance of Particle One from Site of Explosion
Go Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3)
Diameter of Explosive using Burden Suggested in Konya Formula
Go Diameter of Explosive = (Burden/3.15)*(Specific Gravity of Rock/Specific Gravity of Explosive)^(1/3)
Specific Gravity of Explosive using Burden Suggested in Konya Formula
Go Specific Gravity of Explosive = Specific Gravity of Rock*(Burden/(3.15*Diameter of Explosive))^3
Specific Gravity of Rock using Burden Suggested in Konya Formula
Go Specific Gravity of Rock = Specific Gravity of Explosive*((3.15*Diameter of Explosive)/Burden)^3
Acceleration of Particles disturbed by Vibrations
Go Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)
Velocity of Particles disturbed by Vibrations
Go Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)
Distance from Blast Hole to Nearest Perpendicular Free Face or Burden
Go Burden = sqrt(Diameter of Borehole*Length of Borehole)
Spacing for Multiple Simultaneous Blasting
Go Blasting Space = sqrt(Burden*Length of Borehole)
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)
Stemming at Top of Borehole to Prevent Explosive Gases from Escaping
Go Stemming at Top of Borehole = (0.7*Burden)+(Overburden/2)
Overburden given Stemming at Top of Borehole
Go Overburden = 2*(Stemming at Top of Borehole-(0.7*Burden))
Sound Pressure Level in Decibels
Go Sound Pressure Level = (Overpressure/(6.95*10^(-28)))^0.084
Diameter of Borehole using Minimum Length of Borehole
Go Diameter of Borehole = (Length of Borehole/2)

Distance of Particle One from Site of Explosion Formula

Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3)
D1 = D2*(v2/v1)^(2/3)

What is Distance?

Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria. The distance from a point A to a point B is sometimes denoted as |AB|.

How to Calculate Distance of Particle One from Site of Explosion?

Distance of Particle One from Site of Explosion calculator uses Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3) to calculate the Distance of Particle 1 from Explosion, The Distance of Particle One from Site of Explosion is defined as a numerical measurement of how far apart objects or points are. Distance of Particle 1 from Explosion is denoted by D1 symbol.

How to calculate Distance of Particle One from Site of Explosion using this online calculator? To use this online calculator for Distance of Particle One from Site of Explosion, enter Distance of Particle 2 from Explosion (D2), Velocity of Particle with Mass m2 (v2) & Velocity of Particle with Mass m1 (v1) and hit the calculate button. Here is how the Distance of Particle One from Site of Explosion calculation can be explained with given input values -> 2.163374 = 2*(1.8/1.6)^(2/3).

FAQ

What is Distance of Particle One from Site of Explosion?
The Distance of Particle One from Site of Explosion is defined as a numerical measurement of how far apart objects or points are and is represented as D1 = D2*(v2/v1)^(2/3) or Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3). Distance of Particle 2 from Explosion is the spatial measure of its position relative to the origin point, Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves & Velocity of Particle with Mass m1 is the rate at which particle (of mass m1) moves.
How to calculate Distance of Particle One from Site of Explosion?
The Distance of Particle One from Site of Explosion is defined as a numerical measurement of how far apart objects or points are is calculated using Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3). To calculate Distance of Particle One from Site of Explosion, you need Distance of Particle 2 from Explosion (D2), Velocity of Particle with Mass m2 (v2) & Velocity of Particle with Mass m1 (v1). With our tool, you need to enter the respective value for Distance of Particle 2 from Explosion, Velocity of Particle with Mass m2 & Velocity of Particle with Mass m1 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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