Time Period given Natural Circular Frequency Calculator

✖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 [ω_n]

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✖Time Period is the duration between two consecutive oscillations of a freely vibrating object in the longitudinal direction, characterizing its natural frequency.ⓘ Time Period given Natural Circular Frequency [t_p]

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Time Period given Natural Circular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period = (2*pi)/Natural Circular Frequency
t_p = (2*pi)/ω_n
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Time Period - (Measured in Second) - Time Period is the duration between two consecutive oscillations of a freely vibrating object in the longitudinal direction, characterizing its natural frequency.
Natural Circular Frequency - (Measured in Radian per Second) - Natural Circular Frequency is the number of oscillations or cycles per unit time of a free longitudinal vibration in a mechanical system.

STEP 1: Convert Input(s) to Base Unit

Natural Circular Frequency: 21.00443027 Radian per Second --> 21.00443027 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = (2*pi)/ω_n --> (2*pi)/21.00443027

Evaluating ... ...

t_p = 0.299136193003705

STEP 3: Convert Result to Output's Unit

0.299136193003705 Second --> No Conversion Required

FINAL ANSWER

0.299136193003705 ≈ 0.299136 Second <-- Time Period

(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 » Rayleigh’s Method » Time Period given Natural Circular Frequency

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National Institute Of Technology (NIT), Hamirpur

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< Rayleigh’s Method Calculators

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Maximum Kinetic Energy at Mean Position

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Maximum Potential Energy at Mean Position

LaTeX Go Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2

Maximum Velocity at Mean Position by Rayleigh Method

LaTeX Go Maximum Velocity = Natural Circular Frequency*Maximum Displacement

Time Period given Natural Circular Frequency Formula

LaTeX Go

Time Period = (2*pi)/Natural Circular Frequency
t_p = (2*pi)/ω_n

What is Rayleigh's method in vibration analysis?

Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known.

How to Calculate Time Period given Natural Circular Frequency?

Time Period given Natural Circular Frequency calculator uses Time Period = (2*pi)/Natural Circular Frequency to calculate the Time Period, Time Period given Natural Circular Frequency formula is defined as the duration of one cycle in a free longitudinal vibration, which is a fundamental property of a vibrating system, characterizing the frequency of oscillations in the absence of external forces. Time Period is denoted by t_p symbol.

How to calculate Time Period given Natural Circular Frequency using this online calculator? To use this online calculator for Time Period given Natural Circular Frequency, enter Natural Circular Frequency (ω_n) and hit the calculate button. Here is how the Time Period given Natural Circular Frequency calculation can be explained with given input values -> 0.299136 = (2*pi)/21.00443027.

FAQ

What is Time Period given Natural Circular Frequency?

Time Period given Natural Circular Frequency formula is defined as the duration of one cycle in a free longitudinal vibration, which is a fundamental property of a vibrating system, characterizing the frequency of oscillations in the absence of external forces and is represented as t_p = (2*pi)/ω_n or Time Period = (2*pi)/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.

How to calculate Time Period given Natural Circular Frequency?

Time Period given Natural Circular Frequency formula is defined as the duration of one cycle in a free longitudinal vibration, which is a fundamental property of a vibrating system, characterizing the frequency of oscillations in the absence of external forces is calculated using Time Period = (2*pi)/Natural Circular Frequency. To calculate Time Period given Natural Circular Frequency, you need Natural Circular Frequency (ω_n). With our tool, you need to enter the respective value for Natural Circular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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