Natural Frequency of Free Longitudinal Vibrations given Static Deflection Calculator

✖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.ⓘ Static Deflection [δ]

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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.ⓘ Natural Frequency of Free Longitudinal Vibrations given Static Deflection [f]

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Formula

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Natural Frequency of Free Longitudinal Vibrations given Static Deflection

Formula

f = \frac{0.4985}{\sqrt{δ}}

Example

0.635465 Hz = \frac{0.4985}{\sqrt{0.615384615 m}}

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Natural Frequency of Free Longitudinal Vibrations given Static Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = 0.4985/(sqrt(Static Deflection))
f = 0.4985/(sqrt(δ))
This formula uses 1 Functions, 2 Variables

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 - (Measured in Hertz) - 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.
Static Deflection - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Static Deflection: 0.615384615 Meter --> 0.615384615 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 0.4985/(sqrt(δ)) --> 0.4985/(sqrt(0.615384615))

Evaluating ... ...

f = 0.635465307080084

STEP 3: Convert Result to Output's Unit

0.635465307080084 Hertz --> No Conversion Required

FINAL ANSWER

0.635465307080084 ≈ 0.635465 Hertz <-- Frequency

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Mechanical » Equilibrium Method » Natural Frequency of Free Longitudinal Vibrations given Static Deflection

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< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

Go Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint

Displacement of Body given Stiffness of Constraint

Go Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint

Gravitational Pull Balanced by Spring Force

Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection

Restoring Force

Go Restoring Force = -Stiffness of Constraint*Displacement of Body

Natural Frequency of Free Longitudinal Vibrations given Static Deflection Formula

Frequency = 0.4985/(sqrt(Static Deflection))
f = 0.4985/(sqrt(δ))

What is difference between longitudinal and transverse wave?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

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

Natural Frequency of Free Longitudinal Vibrations given Static Deflection calculator uses Frequency = 0.4985/(sqrt(Static Deflection)) to calculate 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 calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection using this online calculator? To use this online calculator for Natural Frequency of Free Longitudinal Vibrations given Static Deflection, enter Static Deflection (δ) and hit the calculate button. Here is how the Natural Frequency of Free Longitudinal Vibrations given Static Deflection calculation can be explained with given input values -> 0.635465 = 0.4985/(sqrt(0.615384615)).

FAQ

What is Natural Frequency of Free Longitudinal Vibrations given Static Deflection?

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 and is represented as f = 0.4985/(sqrt(δ)) or Frequency = 0.4985/(sqrt(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.

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

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 is calculated using Frequency = 0.4985/(sqrt(Static Deflection)). To calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection, you need Static Deflection (δ). With our tool, you need to enter the respective value for Static Deflection 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?

In this formula, Frequency uses Static Deflection. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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