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Natural Circular Frequency in Natural Frequency of Free Longitudinal Vibrations Formulas

Natural Circular Frequency is the number of oscillations or cycles per unit time of a free longitudinal vibration in a mechanical system. And is denoted by ωn. Natural Circular Frequency is usually measured using the Radian per Second for Angular Velocity. Note that the value of Natural Circular Frequency is always positive. Typically, the value of Natural Circular Frequency is greater than 0.

Formulas to find Natural Circular Frequency in Natural Frequency of Free Longitudinal Vibrations

fxNatural Circular Frequency given Displacement of Body​Go
fxNatural Circular Frequency given Maximum Velocity at Mean Position​Go

Natural Frequency of Free Longitudinal Vibrations formulas that make use of Natural Circular Frequency

fxMaximum Velocity at Mean Position by Rayleigh Method​Go
fxMaximum Displacement from Mean Position given Maximum Velocity at Mean Position​Go
fxMaximum Displacement from Mean Position given Displacement of Body from Mean Position​Go
fxDisplacement of Body from Mean Position​Go
fxTime Period given Natural Circular Frequency​Go
fxNatural Frequency given Natural Circular Frequency​Go

List of variables in Natural Frequency of Free Longitudinal Vibrations formulas

fx Time Period ​Go
fx Maximum Velocity ​Go
fx Maximum Displacement ​Go

FAQ

What is the Natural Circular Frequency?
Natural Circular Frequency is the number of oscillations or cycles per unit time of a free longitudinal vibration in a mechanical system. Natural Circular Frequency is usually measured using the Radian per Second for Angular Velocity. Note that the value of Natural Circular Frequency is always positive. Typically, the value of Natural Circular Frequency is greater than 0.
Can the Natural Circular Frequency be negative?
No, the Natural Circular Frequency, measured in Angular Velocity cannot be negative.
What unit is used to measure Natural Circular Frequency?
Natural Circular Frequency is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Natural Circular Frequency can be measured.
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