Velocity of Particles disturbed by Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)
v = (2*pi*f*A)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Velocity of Particle - (Measured in Millimeter per Second) - Velocity of Particle is the rate of change of displacement of particle.
Frequency of Vibration - (Measured in Hertz) - Frequency of Vibration is the number of times something happens in a particular period.
Amplitude of Vibration - (Measured in Millimeter) - Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.
STEP 1: Convert Input(s) to Base Unit
Frequency of Vibration: 2.001 Hertz --> 2.001 Hertz No Conversion Required
Amplitude of Vibration: 10 Millimeter --> 10 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (2*pi*f*A) --> (2*pi*2.001*10)
Evaluating ... ...
v = 125.726537996664
STEP 3: Convert Result to Output's Unit
0.125726537996664 Meter per Second -->125.726537996664 Millimeter per Second (Check conversion here)
FINAL ANSWER
125.726537996664 125.7265 Millimeter per Second <-- Velocity of Particle
(Calculation completed in 00.004 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)

Velocity of Particles disturbed by Vibrations Formula

Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)
v = (2*pi*f*A)

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 Particles disturbed by Vibrations?

Velocity of Particles disturbed by Vibrations calculator uses Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration) to calculate the Velocity of Particle, The Velocity of Particles Disturbed by Vibrations formula is defined as the speed of particles influenced by vibrations, expressing the rate and direction of their motion in response to disturbance. Velocity of Particle is denoted by v symbol.

How to calculate Velocity of Particles disturbed by Vibrations using this online calculator? To use this online calculator for Velocity of Particles disturbed by Vibrations, enter Frequency of Vibration (f) & Amplitude of Vibration (A) and hit the calculate button. Here is how the Velocity of Particles disturbed by Vibrations calculation can be explained with given input values -> 125663.7 = (2*pi*2.001*0.01).

FAQ

What is Velocity of Particles disturbed by Vibrations?
The Velocity of Particles Disturbed by Vibrations formula is defined as the speed of particles influenced by vibrations, expressing the rate and direction of their motion in response to disturbance and is represented as v = (2*pi*f*A) or Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration). Frequency of Vibration is the number of times something happens in a particular period & Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.
How to calculate Velocity of Particles disturbed by Vibrations?
The Velocity of Particles Disturbed by Vibrations formula is defined as the speed of particles influenced by vibrations, expressing the rate and direction of their motion in response to disturbance is calculated using Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration). To calculate Velocity of Particles disturbed by Vibrations, you need Frequency of Vibration (f) & Amplitude of Vibration (A). With our tool, you need to enter the respective value for Frequency of Vibration & Amplitude of Vibration 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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