Natural frequency of torsional vibration system Calculator

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✖Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.ⓘ Stiffness of Shaft [s]			+10% -10%
✖Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.ⓘ Mass moment of inertia of disc [I_disc]			+10% -10%

✖Angular Frequency in Radian/sec refers to the angular displacement per unit of time.ⓘ Natural frequency of torsional vibration system [ω_frequency]

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Natural frequency of torsional vibration system

Formula

`"ω"_{"frequency"} = sqrt("s"/"I"_{"disc"})`

Example

`"0.318768rad/s"=sqrt("0.63N/m"/"6.2kg·m²")`

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Natural frequency of torsional vibration system Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)
ω_frequency = sqrt(s/I_disc)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Angular Frequency in Radian/sec - (Measured in Radian per Second) - Angular Frequency in Radian/sec refers to the angular displacement per unit of time.
Stiffness of Shaft - (Measured in Newton per Meter) - Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.
Mass moment of inertia of disc - (Measured in Kilogram Square Meter) - Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Mass moment of inertia of disc: 6.2 Kilogram Square Meter --> 6.2 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_frequency = sqrt(s/I_disc) --> sqrt(0.63/6.2)

Evaluating ... ...

ω_frequency = 0.318767788877431

STEP 3: Convert Result to Output's Unit

0.318767788877431 Radian per Second --> No Conversion Required

FINAL ANSWER

0.318767788877431 Radian per Second <-- Angular Frequency in Radian/sec

(Calculation completed in 00.000 seconds)

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Home » Physics » Mechanical vibrations » Undamped Free Vibration » Natural frequency of torsional vibration system

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 4 Undamped Free Vibration Calculators

Equivalent stiffness of two springs in series

Go Equivalent Stiffness of Springs = (Stiffness of Spring 1*Stiffness of spring 2)/(Stiffness of Spring 1+Stiffness of spring 2)

Frequency of vibration

Go Vibrational Frequency = (1/(2*pi))*sqrt(Stiffness of Spring/Mass)

Natural frequency of torsional vibration system

Go Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)

Equivalent stiffness of two springs in parallel

Go Equivalent Stiffness of Springs = Stiffness of Spring 1+Stiffness of spring 2

Natural frequency of torsional vibration system Formula

Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)
ω_frequency = sqrt(s/I_disc)

What is vibration?

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The oscillations may be periodic, such as the motion of a pendulum or random, such as the movement of a tire on a gravel road.

How to Calculate Natural frequency of torsional vibration system?

Natural frequency of torsional vibration system calculator uses Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc) to calculate the Angular Frequency in Radian/sec, The Natural frequency of torsional vibration system formula is defined as the square root of the ratio of torsional stiffness to the mass moment of inertia. Angular Frequency in Radian/sec is denoted by ω_frequency symbol.

How to calculate Natural frequency of torsional vibration system using this online calculator? To use this online calculator for Natural frequency of torsional vibration system, enter Stiffness of Shaft (s) & Mass moment of inertia of disc (I_disc) and hit the calculate button. Here is how the Natural frequency of torsional vibration system calculation can be explained with given input values -> 0.318768 = sqrt(0.63/6.2).

FAQ

What is Natural frequency of torsional vibration system?

The Natural frequency of torsional vibration system formula is defined as the square root of the ratio of torsional stiffness to the mass moment of inertia and is represented as ω_frequency = sqrt(s/I_disc) or Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc). Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit & Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.

How to calculate Natural frequency of torsional vibration system?

The Natural frequency of torsional vibration system formula is defined as the square root of the ratio of torsional stiffness to the mass moment of inertia is calculated using Angular Frequency in Radian/sec = sqrt(Stiffness of Shaft/Mass moment of inertia of disc). To calculate Natural frequency of torsional vibration system, you need Stiffness of Shaft (s) & Mass moment of inertia of disc (I_disc). With our tool, you need to enter the respective value for Stiffness of Shaft & Mass moment of inertia of disc 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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