Velocity of Particle One at Distance from Explosion Calculator

✖Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.ⓘ Velocity of Particle with Mass m2 [v₂]			+10% -10%
✖Distance of Particle 2 from Explosion is the spatial measure of its position relative to the origin point.ⓘ Distance of Particle 2 from Explosion [D₂]			+10% -10%
✖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 1 from Explosion [D₁]			+10% -10%

✖Velocity of Particle with Mass m1 is the rate at which particle (of mass m1) moves.ⓘ Velocity of Particle One at Distance from Explosion [v₁]

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Formula

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Velocity of Particle One at Distance from Explosion

Formula

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

Example

1.672972 m/s = 1.8 m/s \cdot {(\frac{2 m}{2.1 m})}^{1.5}

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Velocity of Particle One at Distance from Explosion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
v₁ = v₂*(D₂/D₁)^(1.5)
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Particle with Mass m2: 1.8 Meter per Second --> 1.8 Meter per Second No Conversion Required
Distance of Particle 2 from Explosion: 2 Meter --> 2 Meter No Conversion Required
Distance of Particle 1 from Explosion: 2.1 Meter --> 2.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v₁ = v₂*(D₂/D₁)^(1.5) --> 1.8*(2/2.1)^(1.5)

Evaluating ... ...

v₁ = 1.67297155362606

STEP 3: Convert Result to Output's Unit

1.67297155362606 Meter per Second --> No Conversion Required

FINAL ANSWER

1.67297155362606 ≈ 1.672972 Meter per Second <-- Velocity of Particle with Mass m1

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

Velocity of Particle One at Distance from Explosion Formula

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)
v₁ = v₂*(D₂/D₁)^(1.5)

What is Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Velocity of Particle One at Distance from Explosion?

Velocity of Particle One at Distance from Explosion calculator uses 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) to calculate the Velocity of Particle with Mass m1, The Velocity of Particle One at Distance from Explosion is defined as speed of a particle from the blast point at a specific distance. Velocity of Particle with Mass m1 is denoted by v₁ symbol.

How to calculate Velocity of Particle One at Distance from Explosion using this online calculator? To use this online calculator for Velocity of Particle One at Distance from Explosion, enter Velocity of Particle with Mass m2 (v₂), Distance of Particle 2 from Explosion (D₂) & Distance of Particle 1 from Explosion (D₁) and hit the calculate button. Here is how the Velocity of Particle One at Distance from Explosion calculation can be explained with given input values -> 1.672972 = 1.8*(2/2.1)^(1.5).

FAQ

What is Velocity of Particle One at Distance from Explosion?

The Velocity of Particle One at Distance from Explosion is defined as speed of a particle from the blast point at a specific distance and is represented as v₁ = v₂*(D₂/D₁)^(1.5) or 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 with Mass m2 is the rate at which particle (of mass m2) moves, Distance of Particle 2 from Explosion is the spatial measure of its position relative to the origin point & Distance of Particle 1 from Explosion is the physical space between the explosion's point of origin and particle 1's location.

How to calculate Velocity of Particle One at Distance from Explosion?

The Velocity of Particle One at Distance from Explosion is defined as speed of a particle from the blast point at a specific distance is calculated using 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). To calculate Velocity of Particle One at Distance from Explosion, you need Velocity of Particle with Mass m2 (v₂), Distance of Particle 2 from Explosion (D₂) & Distance of Particle 1 from Explosion (D₁). With our tool, you need to enter the respective value for Velocity of Particle with Mass m2, Distance of Particle 2 from Explosion & Distance of Particle 1 from Explosion 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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