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Amplitude of Vibrations given Acceleration of Particles Formula

GoAmplitude of Vibrations using Velocity of Particle Formula

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

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

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

Amplitude of Vibrations given Acceleration of Particles Example

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Here is how the Amplitude of Vibrations given Acceleration of Particles equation looks like with Values.

Here is how the Amplitude of Vibrations given Acceleration of Particles equation looks like with Units.

Here is how the Amplitude of Vibrations given Acceleration of Particles equation looks like.

19.6114 = (\frac{3.1}{4 \cdot {(3.1416 \cdot 2.001)}^{2}})

19.6114mm = (\frac{3.1m/s²}{4 \cdot {(3.1416 \cdot 2.001Hz)}^{2}})

19.6114 = (\frac{3.1}{4 \cdot {(3.1416 \cdot 2.001)}^{2}})

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Amplitude of Vibrations given Acceleration of Particles Solution

Follow our step by step solution on how to calculate Amplitude of Vibrations given Acceleration of Particles?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = (\frac{3.1m/s²}{4 \cdot {(π \cdot 2.001Hz)}^{2}})

Next Step Substitute values of Constants

∴

A = (\frac{3.1m/s²}{4 \cdot {(3.1416 \cdot 2.001Hz)}^{2}})

Next Step Prepare to Evaluate

∴

A = (\frac{3.1}{4 \cdot {(3.1416 \cdot 2.001)}^{2}})

Next Step Evaluate

∴

A = 0.0196113630647974m

Next Step Convert to Output's Unit

∴

A = 19.6113630647974mm

LAST Step Rounding Answer

∴

A = 19.6114mm

Amplitude of Vibrations given Acceleration of Particles Formula Elements

Variables

Constants

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

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

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

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

Other Formulas to find Amplitude of Vibration

Go Amplitude of Vibrations using Velocity of Particle

A = (\frac{v}{2 \cdot π \cdot f})

Other formulas in Parameters of Vibration Control in Blasting category

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})

Go Frequency of Vibration given Acceleration of Particles

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

Go Overpressure due to Charge Exploded on Ground Surface

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

How to Evaluate Amplitude of Vibrations given Acceleration of Particles?

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

FAQs on Amplitude of Vibrations given Acceleration of Particles

What is the formula to find Amplitude of Vibrations given Acceleration of Particles?

The formula of Amplitude of Vibrations given Acceleration of Particles is expressed as Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2)). Here is an example- 18978.74 = (3.1/(4*(pi*2.001)^2)).

How to calculate Amplitude of Vibrations given Acceleration of Particles?

With Acceleration of Particles (a) & Frequency of Vibration (f) we can find Amplitude of Vibrations given Acceleration of Particles using the formula - Amplitude of Vibration = (Acceleration of Particles/(4*(pi*Frequency of Vibration)^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Amplitude of Vibration?

Here are the different ways to Calculate Amplitude of Vibration-

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

Can the Amplitude of Vibrations given Acceleration of Particles be negative?

No, the Amplitude of Vibrations given Acceleration of Particles, measured in Length cannot be negative.

Which unit is used to measure Amplitude of Vibrations given Acceleration of Particles?

Amplitude of Vibrations given Acceleration of Particles is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Amplitude of Vibrations given Acceleration of Particles can be measured.

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Amplitude of Vibrations given Acceleration of Particles Formula

​GoAmplitude of Vibrations using Velocity of Particle Formula

Amplitude of Vibrations given Acceleration of Particles Example

Amplitude of Vibrations given Acceleration of Particles Solution

Amplitude of Vibrations given Acceleration of Particles Formula Elements

Other Formulas to find Amplitude of Vibration

Other formulas in Parameters of Vibration Control in Blasting category

How to Evaluate Amplitude of Vibrations given Acceleration of Particles?

FAQs on Amplitude of Vibrations given Acceleration of Particles

Variable Name

GoAmplitude of Vibrations using Velocity of Particle Formula