Time Period for Vibrations Calculator

✖Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.ⓘ Mass Moment of Inertia of Disc [I_d]			+10% -10%
✖torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.ⓘ Torsional Stiffness [q]			+10% -10%

✖Time Period is the time taken by the shaft to complete one oscillation or vibration about its axis in a torsional vibration system.ⓘ Time Period for Vibrations [t_p]

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Time Period for Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness)
t_p = 2*pi*sqrt(I_d/q)
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

Time Period - (Measured in Second) - Time Period is the time taken by the shaft to complete one oscillation or vibration about its axis in a torsional vibration system.
Mass Moment of Inertia of Disc - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.
Torsional Stiffness - (Measured in Newton per Meter) - torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.

STEP 1: Convert Input(s) to Base Unit

Mass Moment of Inertia of Disc: 6.2 Kilogram Square Meter --> 6.2 Kilogram Square Meter No Conversion Required
Torsional Stiffness: 5.4 Newton per Meter --> 5.4 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_p = 2*pi*sqrt(I_d/q) --> 2*pi*sqrt(6.2/5.4)

Evaluating ... ...

t_p = 6.73253830767135

STEP 3: Convert Result to Output's Unit

6.73253830767135 Second --> No Conversion Required

FINAL ANSWER

6.73253830767135 ≈ 6.732538 Second <-- Time Period

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Time Period for Vibrations

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National Institute Of Technology (NIT), Hamirpur

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< Natural Frequency of Free Torsional Vibrations Calculators

Moment of Inertia of Disc using Natural Frequency of Vibration

LaTeX Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Natural Frequency)^2)

Torsional Stiffness of Shaft given Natural Frequency of Vibration

LaTeX Go Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc

Torsional Stiffness of Shaft given Time Period of Vibration

LaTeX Go Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2

Moment of Inertia of Disc given Time Period of Vibration

LaTeX Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)

Time Period for Vibrations Formula

LaTeX Go

Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness)
t_p = 2*pi*sqrt(I_d/q)

What causes torsional vibration?

Torsional vibrations are an example of machinery vibrations and are caused by the superposition of angular oscillations along the whole propulsion shaft system including propeller shaft, engine crankshaft, engine, gearbox, flexible coupling and along the intermediate shafts.

How to Calculate Time Period for Vibrations?

Time Period for Vibrations calculator uses Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness) to calculate the Time Period, Time Period for Vibrations formula is defined as the time taken by an object to complete one oscillation or cycle in a torsional vibration system, which is a type of vibration that occurs when an object is twisted or rotated around a fixed axis, and is an important concept in mechanical engineering and physics. Time Period is denoted by t_p symbol.

How to calculate Time Period for Vibrations using this online calculator? To use this online calculator for Time Period for Vibrations, enter Mass Moment of Inertia of Disc (I_d) & Torsional Stiffness (q) and hit the calculate button. Here is how the Time Period for Vibrations calculation can be explained with given input values -> 6.732538 = 2*pi*sqrt(6.2/5.4).

FAQ

What is Time Period for Vibrations?

Time Period for Vibrations formula is defined as the time taken by an object to complete one oscillation or cycle in a torsional vibration system, which is a type of vibration that occurs when an object is twisted or rotated around a fixed axis, and is an important concept in mechanical engineering and physics and is represented as t_p = 2*pi*sqrt(I_d/q) or Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness). Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis & torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.

How to calculate Time Period for Vibrations?

Time Period for Vibrations formula is defined as the time taken by an object to complete one oscillation or cycle in a torsional vibration system, which is a type of vibration that occurs when an object is twisted or rotated around a fixed axis, and is an important concept in mechanical engineering and physics is calculated using Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness). To calculate Time Period for Vibrations, you need Mass Moment of Inertia of Disc (I_d) & Torsional Stiffness (q). With our tool, you need to enter the respective value for Mass Moment of Inertia of Disc & Torsional Stiffness 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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