Natural Frequency of Free Longitudinal Vibrations Calculator

✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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]			+10% -10%

✖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 [f]

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Natural Frequency of Free Longitudinal Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi)
f = (sqrt(g/δ))/(2*pi)
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 - (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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Static Deflection: 0.615384615 Meter --> 0.615384615 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (sqrt(g/δ))/(2*pi) --> (sqrt(9.8/0.615384615))/(2*pi)

Evaluating ... ...

f = 0.635125942335985

STEP 3: Convert Result to Output's Unit

0.635125942335985 Hertz --> No Conversion Required

FINAL ANSWER

0.635125942335985 ≈ 0.635126 Hertz <-- Frequency

(Calculation completed in 00.020 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

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National Institute Of Technology (NIT), Hamirpur

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< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

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

Displacement of Body given Stiffness of Constraint

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

Gravitational Pull Balanced by Spring Force

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

Restoring Force

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

Natural Frequency of Free Longitudinal Vibrations Formula

LaTeX Go

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

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?

Natural Frequency of Free Longitudinal Vibrations calculator uses Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi) to calculate the Frequency, Natural Frequency of Free Longitudinal Vibrations 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, characterizing the natural oscillation of a system in the longitudinal direction. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Free Longitudinal Vibrations using this online calculator? To use this online calculator for Natural Frequency of Free Longitudinal Vibrations, enter Acceleration due to Gravity (g) & Static Deflection (δ) and hit the calculate button. Here is how the Natural Frequency of Free Longitudinal Vibrations calculation can be explained with given input values -> 0.635126 = (sqrt(9.8/0.615384615))/(2*pi).

FAQ

What is Natural Frequency of Free Longitudinal Vibrations?

Natural Frequency of Free Longitudinal Vibrations 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, characterizing the natural oscillation of a system in the longitudinal direction and is represented as f = (sqrt(g/δ))/(2*pi) or Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi). Acceleration due to Gravity is acceleration gained by an object because of gravitational force & 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?

Natural Frequency of Free Longitudinal Vibrations 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, characterizing the natural oscillation of a system in the longitudinal direction is calculated using Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi). To calculate Natural Frequency of Free Longitudinal Vibrations, you need Acceleration due to Gravity (g) & Static Deflection (δ). With our tool, you need to enter the respective value for Acceleration due to Gravity & 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 Acceleration due to Gravity & Static Deflection. We can use 1 other way(s) to calculate the same, which is/are as follows -

Frequency = 0.4985/(sqrt(Static Deflection))

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