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 extension or compression of the constraint.ⓘ Static Deflection [δ]			+10% -10%

✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Natural Frequency of Free Longitudinal Vibrations [f]

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Formula

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Natural Frequency of Free Longitudinal Vibrations

Formula

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

Example

0.635126 Hz = \frac{\sqrt{\frac{9.8 m/s²}{0.615384615 m}}}{2 \cdot π}

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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 refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
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 extension or compression of the constraint.

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 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 Formula

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 extension or compression of the constraint.

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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