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Natural Frequency of Free Longitudinal Vibrations given Static Deflection Formula

GoNatural Frequency of Free Longitudinal Vibrations Formula

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Frequency is the number of oscillations or cycles per second of a free longitudinal vibration of an object or substance in a given time period. Check FAQs

f = \frac{0.4985}{\sqrt{δ}}

f - Frequency?δ - Static Deflection?

Natural Frequency of Free Longitudinal Vibrations given Static Deflection Example

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Here is how the Natural Frequency of Free Longitudinal Vibrations given Static Deflection equation looks like with Values.

Here is how the Natural Frequency of Free Longitudinal Vibrations given Static Deflection equation looks like with Units.

Here is how the Natural Frequency of Free Longitudinal Vibrations given Static Deflection equation looks like.

0.6355 = \frac{0.4985}{\sqrt{0.6154}}

0.6355Hz = \frac{0.4985}{\sqrt{0.6154m}}

0.6355 = \frac{0.4985}{\sqrt{0.6154}}

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Natural Frequency of Free Longitudinal Vibrations given Static Deflection Solution

Follow our step by step solution on how to calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

FIRST Step Consider the formula

f = \frac{0.4985}{\sqrt{δ}}

Next Step Substitute values of Variables

∴

f = \frac{0.4985}{\sqrt{0.6154m}}

Next Step Prepare to Evaluate

∴

f = \frac{0.4985}{\sqrt{0.6154}}

Next Step Evaluate

∴

f = 0.635465307080084Hz

LAST Step Rounding Answer

∴

f = 0.6355Hz

Natural Frequency of Free Longitudinal Vibrations given Static Deflection Formula Elements

Variables

Functions

Frequency

Frequency is the number of oscillations or cycles per second of a free longitudinal vibration of an object or substance in a given time period.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency

Static Deflection

Static Deflection is the maximum displacement of an object or structure under a given load, in the context of natural frequency of free longitudinal vibrations.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection

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

Go Natural Frequency of Free Longitudinal Vibrations

f = \frac{\sqrt{\frac{g}{δ}}}{2 \cdot π}

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Restoring Force

F re = - s constrain \cdot s body

Go Acceleration of Body given Stiffness of Constraint

a = \frac{s constrain \cdot s body}{W attached}

Go Displacement of Body given Stiffness of Constraint

s body = \frac{W attached \cdot a}{s constrain}

How to Evaluate Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

Natural Frequency of Free Longitudinal Vibrations given Static Deflection evaluator uses Frequency = 0.4985/(sqrt(Static Deflection)) to evaluate the Frequency, Natural Frequency of Free Longitudinal Vibrations given Static Deflection formula is defined as a measure of the frequency at which a system vibrates freely when it is displaced from its equilibrium position and then released, with the frequency being dependent on the static deflection of the system. Frequency is denoted by f symbol.

How to evaluate Natural Frequency of Free Longitudinal Vibrations given Static Deflection using this online evaluator? To use this online evaluator for Natural Frequency of Free Longitudinal Vibrations given Static Deflection, enter Static Deflection (δ) and hit the calculate button.

FAQs on Natural Frequency of Free Longitudinal Vibrations given Static Deflection

What is the formula to find Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

The formula of Natural Frequency of Free Longitudinal Vibrations given Static Deflection is expressed as Frequency = 0.4985/(sqrt(Static Deflection)). Here is an example- 0.635465 = 0.4985/(sqrt(0.615384615)).

How to calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

With Static Deflection (δ) we can find Natural Frequency of Free Longitudinal Vibrations given Static Deflection using the formula - Frequency = 0.4985/(sqrt(Static Deflection)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Frequency?

Here are the different ways to Calculate Frequency-

Frequency=(sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi)

Can the Natural Frequency of Free Longitudinal Vibrations given Static Deflection be negative?

Yes, the Natural Frequency of Free Longitudinal Vibrations given Static Deflection, measured in Frequency can be negative.

Which unit is used to measure Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

Natural Frequency of Free Longitudinal Vibrations given Static Deflection is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Natural Frequency of Free Longitudinal Vibrations given Static Deflection can be measured.

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