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Frequency of Vibration given Acceleration of Particles Formula

GoFrequency of Vibrations caused by Blasting Formula

GoFrequency of Vibration given Velocity of Particle Formula

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Frequency of Vibration is the number of times something happens in a particular period. Check FAQs

f = \sqrt{\frac{a}{4 \cdot {(π)}^{2} \cdot A}}

f - Frequency of Vibration?a - Acceleration of Particles?A - Amplitude of Vibration?π - Archimedes' constant?

Frequency of Vibration given Acceleration of Particles Example

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Here is how the Frequency of Vibration given Acceleration of Particles equation looks like with Values.

Here is how the Frequency of Vibration given Acceleration of Particles equation looks like with Units.

Here is how the Frequency of Vibration given Acceleration of Particles equation looks like.

2.8022 = \sqrt{\frac{3.1}{4 \cdot {(3.1416)}^{2} \cdot 10}}

2.8022Hz = \sqrt{\frac{3.1m/s²}{4 \cdot {(3.1416)}^{2} \cdot 10mm}}

2.8022 = \sqrt{\frac{3.1}{4 \cdot {(3.1416)}^{2} \cdot 10}}

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Frequency of Vibration given Acceleration of Particles Solution

Follow our step by step solution on how to calculate Frequency of Vibration given Acceleration of Particles?

FIRST Step Consider the formula

f = \sqrt{\frac{a}{4 \cdot {(π)}^{2} \cdot A}}

Next Step Substitute values of Variables

∴

f = \sqrt{\frac{3.1m/s²}{4 \cdot {(π)}^{2} \cdot 10mm}}

Next Step Substitute values of Constants

∴

f = \sqrt{\frac{3.1m/s²}{4 \cdot {(3.1416)}^{2} \cdot 10mm}}

Next Step Convert Units

∴

f = \sqrt{\frac{3.1m/s²}{4 \cdot {(3.1416)}^{2} \cdot 0.01m}}

Next Step Prepare to Evaluate

∴

f = \sqrt{\frac{3.1}{4 \cdot {(3.1416)}^{2} \cdot 0.01}}

Next Step Evaluate

∴

f = 2.80221193564676Hz

LAST Step Rounding Answer

∴

f = 2.8022Hz

Frequency of Vibration given Acceleration of Particles Formula Elements

Variables

Constants

Functions

Frequency of Vibration

Frequency of Vibration is the number of times something happens in a particular period.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency of Vibration

Acceleration of Particles

Acceleration of Particles is the rate of change of velocity.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration of Particles

Amplitude of Vibration

Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.

Symbol: A

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Amplitude of Vibration

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Frequency of Vibration

Go Frequency of Vibrations caused by Blasting

f = (\frac{V}{λ v})

Go Frequency of Vibration given Velocity of Particle

f = (\frac{v}{2 \cdot π \cdot A})

Other formulas in Parameters of Vibration Control in Blasting category

Go Amplitude of Vibrations using Velocity of Particle

A = (\frac{v}{2 \cdot π \cdot f})

Go Amplitude of Vibrations given Acceleration of Particles

A = (\frac{a}{4 \cdot {(π \cdot f)}^{2}})

Go Overpressure due to Charge Exploded on Ground Surface

P = 226.62 \cdot {(\frac{{(W)}^{\frac{1}{3}}}{D})}^{1.407}

Go Distance from Explosion to Exposure given Overpressure

D = {((\frac{226.62}{P}))}^{\frac{1}{1.407}} \cdot {(W)}^{\frac{1}{3}}

How to Evaluate Frequency of Vibration given Acceleration of Particles?

Frequency of Vibration given Acceleration of Particles evaluator uses Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)) to evaluate 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 evaluate Frequency of Vibration given Acceleration of Particles using this online evaluator? To use this online evaluator for Frequency of Vibration given Acceleration of Particles, enter Acceleration of Particles (a) & Amplitude of Vibration (A) and hit the calculate button.

FAQs on Frequency of Vibration given Acceleration of Particles

What is the formula to find Frequency of Vibration given Acceleration of Particles?

The formula of Frequency of Vibration given Acceleration of Particles is expressed as Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)). Here is an example- 2.756644 = sqrt(3.1/(4*(pi)^2*0.01)).

How to calculate Frequency of Vibration given Acceleration of Particles?

With Acceleration of Particles (a) & Amplitude of Vibration (A) we can find Frequency of Vibration given Acceleration of Particles using the formula - Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Frequency of Vibration?

Here are the different ways to Calculate Frequency of Vibration-

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

Can the Frequency of Vibration given Acceleration of Particles be negative?

No, the Frequency of Vibration given Acceleration of Particles, measured in Frequency cannot be negative.

Which unit is used to measure Frequency of Vibration given Acceleration of Particles?

Frequency of Vibration given Acceleration of Particles is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Frequency of Vibration given Acceleration of Particles can be measured.

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Frequency of Vibration given Acceleration of Particles Formula

​GoFrequency of Vibrations caused by Blasting Formula

​GoFrequency of Vibration given Velocity of Particle Formula

Frequency of Vibration given Acceleration of Particles Example

Frequency of Vibration given Acceleration of Particles Solution

Frequency of Vibration given Acceleration of Particles Formula Elements

Other Formulas to find Frequency of Vibration

Other formulas in Parameters of Vibration Control in Blasting category

How to Evaluate Frequency of Vibration given Acceleration of Particles?

FAQs on Frequency of Vibration given Acceleration of Particles

Variable Name

GoFrequency of Vibrations caused by Blasting Formula

GoFrequency of Vibration given Velocity of Particle Formula