Frequency of Vibration given Acceleration of Particles Calculator

✖Acceleration of Particles is the rate of change of velocity.ⓘ Acceleration of Particles [a]			+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%

✖Frequency of Vibration is the number of times something happens in a particular period.ⓘ Frequency of Vibration given Acceleration of Particles [f]

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Formula

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Frequency of Vibration given Acceleration of Particles

Formula

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

Example

`"2.802212Hz"=sqrt("3.1m/s²"/(4*(pi)^2*"10mm"))`

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Frequency of Vibration given Acceleration of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Frequency of Vibration - (Measured in Hertz) - Frequency of Vibration is the number of times something happens in a particular period.
Acceleration of Particles - (Measured in Meter per Square Second) - Acceleration of Particles is the rate of change of velocity.
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

Acceleration of Particles: 3.1 Meter per Square Second --> 3.1 Meter per Square Second No Conversion Required
Amplitude of Vibration: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = sqrt(a/(4*(pi)^2*A)) --> sqrt(3.1/(4*(pi)^2*0.01))

Evaluating ... ...

f = 2.80221193564676

STEP 3: Convert Result to Output's Unit

2.80221193564676 Hertz --> No Conversion Required

FINAL ANSWER

2.80221193564676 ≈ 2.802212 Hertz <-- Frequency of Vibration

(Calculation completed in 00.020 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)

Frequency of Vibration given Acceleration of Particles Formula

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

What is Frequency?

Frequency is the number of occurrences of a repeating event per unit of time. It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency. Frequency is measured in hertz (Hz) which is equal to one occurrence of a repeating event per second.

How to Calculate Frequency of Vibration given Acceleration of Particles?

Frequency of Vibration given Acceleration of Particles calculator uses Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)) to calculate the Frequency of Vibration, The Frequency of Vibration given Acceleration of Particles is defined as the number of occurrences of a repeating event per unit of time. Frequency of Vibration is denoted by f symbol.

How to calculate Frequency of Vibration given Acceleration of Particles using this online calculator? To use this online calculator for Frequency of Vibration given Acceleration of Particles, enter Acceleration of Particles (a) & Amplitude of Vibration (A) and hit the calculate button. Here is how the Frequency of Vibration given Acceleration of Particles calculation can be explained with given input values -> 2.756644 = sqrt(3.1/(4*(pi)^2*0.01)).

FAQ

What is Frequency of Vibration given Acceleration of Particles?

The Frequency of Vibration given Acceleration of Particles is defined as the number of occurrences of a repeating event per unit of time and is represented as f = sqrt(a/(4*(pi)^2*A)) or Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)). Acceleration of Particles is the rate of change of velocity & Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.

How to calculate Frequency of Vibration given Acceleration of Particles?

The Frequency of Vibration given Acceleration of Particles is defined as the number of occurrences of a repeating event per unit of time is calculated using Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)). To calculate Frequency of Vibration given Acceleration of Particles, you need Acceleration of Particles (a) & Amplitude of Vibration (A). With our tool, you need to enter the respective value for Acceleration of Particles & Amplitude 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 Frequency of Vibration?

In this formula, Frequency of Vibration uses Acceleration of Particles & Amplitude of Vibration. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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