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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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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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Parameters of Vibration Control in Blasting Calculators

Frequency of Vibration given Acceleration of Particles

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

Amplitude of Vibrations using Velocity of Particle

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

Frequency of Vibration given Velocity of Particle

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

Frequency of Vibrations caused by Blasting

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

Frequency of Vibration given Acceleration of Particles Formula

LaTeX Go

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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