Acceleration of Particles disturbed by Vibrations Calculator

✖Frequency of Vibration is the number of times something happens in a particular period.ⓘ Frequency of Vibration [f]			+10% -10%
✖Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.ⓘ Amplitude of Vibration [A]			+10% -10%

✖Acceleration of Particles is the rate of change of velocity.ⓘ Acceleration of Particles disturbed by Vibrations [a]

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Formula

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Acceleration of Particles disturbed by Vibrations

Formula

`"a" = (4*(pi*"f")^2*"A")`

Example

`"1.580716m/s²"=(4*(pi*"2.001Hz")^2*"10mm")`

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Download Vibration Control in Blasting Formulas PDF

Acceleration of Particles disturbed by Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)
a = (4*(pi*f)^2*A)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Acceleration of Particles - (Measured in Meter per Square Second) - Acceleration of Particles is the rate of change of velocity.
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 Meter) - 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 --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (4*(pi*f)^2*A) --> (4*(pi*2.001)^2*0.01)

Evaluating ... ...

a = 1.58071623566265

STEP 3: Convert Result to Output's Unit

1.58071623566265 Meter per Square Second --> No Conversion Required

FINAL ANSWER

1.58071623566265 ≈ 1.580716 Meter per Square Second <-- Acceleration of Particles

(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 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

Acceleration of Particles disturbed by Vibrations Formula

Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)
a = (4*(pi*f)^2*A)

What is Acceleration?

Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

How to Calculate Acceleration of Particles disturbed by Vibrations?

Acceleration of Particles disturbed by Vibrations calculator uses Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration) to calculate the Acceleration of Particles, The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system. Acceleration of Particles is denoted by a symbol.

How to calculate Acceleration of Particles disturbed by Vibrations using this online calculator? To use this online calculator for Acceleration of Particles disturbed by Vibrations, enter Frequency of Vibration (f) & Amplitude of Vibration (A) and hit the calculate button. Here is how the Acceleration of Particles disturbed by Vibrations calculation can be explained with given input values -> 1.580716 = (4*(pi*2.001)^2*0.01).

FAQ

What is Acceleration of Particles disturbed by Vibrations?

The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system and is represented as a = (4*(pi*f)^2*A) or Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*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 Acceleration of Particles disturbed by Vibrations?

The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system is calculated using Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration). To calculate Acceleration 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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