Amplitude of Vibrations given Acceleration of Particles Calculator

✖Acceleration of Particles is the rate of change of velocity.ⓘ Acceleration of Particles [a]			+10% -10%
✖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 Vibrations given Acceleration of Particles [A]

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Amplitude of Vibrations given Acceleration of Particles

Formula

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

Example

`"19.61136mm"=("3.1m/s²"/(4*(pi*"2.001Hz")^2))`

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Amplitude of Vibrations given Acceleration of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Acceleration of Particles: 3.1 Meter per Square Second --> 3.1 Meter per Square Second No Conversion Required
Frequency of Vibration: 2.001 Hertz --> 2.001 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (a/(4*(pi*f)^2)) --> (3.1/(4*(pi*2.001)^2))

Evaluating ... ...

A = 0.0196113630647974

STEP 3: Convert Result to Output's Unit

0.0196113630647974 Meter -->19.6113630647974 Millimeter (Check conversion here)

FINAL ANSWER

19.6113630647974 ≈ 19.61136 Millimeter <-- Amplitude of Vibration

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 17 Parameters of Vibration Control in Blasting Calculators

Burden Suggested in Langefors' Formula

Go Burden in Langefors' Formula = (Diameter of Drill Bit/33)*sqrt((Degree of Packing*Weight Strength of Explosive)/(Rock Constant*Degree of Fraction*Ratio of Spacing to Burden))

Frequency of Vibration given Acceleration of Particles

Go Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration))

Burden Suggested in Konya Formula

Go Burden = (3.15*Diameter of Explosive)*(Specific Gravity of Explosive/Specific Gravity of Rock)^(1/3)

Amplitude of Vibrations given Acceleration of Particles

Go Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2))

Distance from Explosion to Exposure given Overpressure

Go Distance from Explosion to Exposure = ((226.62/Overpressure))^(1/1.407)*(Maximum Weight of Explosives per Delay)^(1/3)

Overpressure due to Charge Exploded on Ground Surface

Go Overpressure = 226.62*((Maximum Weight of Explosives per Delay)^(1/3)/Distance from Explosion to Exposure)^(1.407)

Amplitude of Vibrations using Velocity of Particle

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

Frequency of Vibration given Velocity of Particle

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

Frequency of Vibrations caused by Blasting

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

Burden given Stemming at Top of Borehole

Go Burden = (Stemming at Top of Borehole-(Overburden/2))/0.7

Diameter of Borehole using Burden

Go Diameter of Borehole = (Burden)^2/Length of Borehole

Length of Borehole using Burden

Go Length of Borehole = (Burden)^2/Diameter of Borehole

Length of Borehole given Spacing for Multiple Simultaneous Blasting

Go Length of Borehole = (Blasting Space)^2/Burden

Burden given Spacing for Multiple Simultaneous Blasting

Go Burden = (Blasting Space)^2/Length of Borehole

Overpressure given Sound Pressure Level in Decibels

Go Overpressure = (Sound Pressure Level)^(1/0.084)*(6.95*10^(-28))

Minimum Length of Borehole in Meter

Go Length of Borehole = (2*25.4*Diameter of Bore Pith Circle)

Minimum Length of Borehole in Feet

Go Length of Borehole = (2*Diameter of Borehole)

Amplitude of Vibrations given Acceleration of Particles Formula

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

What is Amplitude?

The amplitude of a periodic variable is a measure of its change in a single period. There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable extreme values. In older texts, the phase of a period function is sometimes called the amplitude.

What is Acceleration in Particle Motion?

To accelerate an object (air particle) is to change its velocity over a period. Acceleration is defined technically as "the rate of change of velocity of an object with respect to time" and is given by the equation. where. a is the acceleration vector. v is the velocity vector expressed in m/s.

How to Calculate Amplitude of Vibrations given Acceleration of Particles?

Amplitude of Vibrations given Acceleration of Particles calculator uses Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2)) to calculate the Amplitude of Vibration, The Amplitude of Vibrations given Acceleration of Particles is defined as the greatest distance that a wave, especially a sound or radio wave, moves up and down. Amplitude of Vibration is denoted by A symbol.

How to calculate Amplitude of Vibrations given Acceleration of Particles using this online calculator? To use this online calculator for Amplitude of Vibrations given Acceleration of Particles, enter Acceleration of Particles (a) & Frequency of Vibration (f) and hit the calculate button. Here is how the Amplitude of Vibrations given Acceleration of Particles calculation can be explained with given input values -> 18978.74 = (3.1/(4*(pi*2.001)^2)).

FAQ

What is Amplitude of Vibrations given Acceleration of Particles?

The Amplitude of Vibrations given Acceleration of Particles is defined as the greatest distance that a wave, especially a sound or radio wave, moves up and down and is represented as A = (a/(4*(pi*f)^2)) or Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2)). Acceleration of Particles is the rate of change of velocity & Frequency of Vibration is the number of times something happens in a particular period.

How to calculate Amplitude of Vibrations given Acceleration of Particles?

The Amplitude of Vibrations given Acceleration of Particles is defined as the greatest distance that a wave, especially a sound or radio wave, moves up and down is calculated using Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2)). To calculate Amplitude of Vibrations given Acceleration of Particles, you need Acceleration of Particles (a) & Frequency of Vibration (f). With our tool, you need to enter the respective value for Acceleration of Particles & Frequency of Vibration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Amplitude of Vibration?

In this formula, Amplitude of Vibration uses Acceleration of Particles & Frequency of Vibration. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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