Accelerating Force 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%
✖Angular Acceleration is the rate of change of angular velocity of an object rotating around a fixed axis in a torsional vibration system.ⓘ Angular Acceleration [α]			+10% -10%

✖Force is a push or pull that causes an object to change its motion or shape, resulting in torsional vibrations in a mechanical system.ⓘ Accelerating Force [F]

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Accelerating Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force = Mass Moment of Inertia of Disc*Angular Acceleration
F = I_d*α
This formula uses 3 Variables

Variables Used

Force - (Measured in Newton) - Force is a push or pull that causes an object to change its motion or shape, resulting in torsional vibrations in a mechanical 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.
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is the rate of change of angular velocity of an object rotating around a fixed axis in a torsional vibration system.

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
Angular Acceleration: 1.53226 Radian per Square Second --> 1.53226 Radian per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = I_d*α --> 6.2*1.53226

Evaluating ... ...

F = 9.500012

STEP 3: Convert Result to Output's Unit

9.500012 Newton --> No Conversion Required

FINAL ANSWER

9.500012 Newton <-- Force

(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 » Accelerating Force

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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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)

Accelerating Force Formula

LaTeX Go

Force = Mass Moment of Inertia of Disc*Angular Acceleration
F = I_d*α

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 Accelerating Force?

Accelerating Force calculator uses Force = Mass Moment of Inertia of Disc*Angular Acceleration to calculate the Force, Accelerating Force formula is defined as a measure of the force that causes an object to rotate or twist around a central axis, resulting in torsional vibrations, and is a critical parameter in the analysis of rotational motion and vibration in mechanical systems. Force is denoted by F symbol.

How to calculate Accelerating Force using this online calculator? To use this online calculator for Accelerating Force, enter Mass Moment of Inertia of Disc (I_d) & Angular Acceleration (α) and hit the calculate button. Here is how the Accelerating Force calculation can be explained with given input values -> 9.500012 = 6.2*1.53226.

FAQ

What is Accelerating Force?

Accelerating Force formula is defined as a measure of the force that causes an object to rotate or twist around a central axis, resulting in torsional vibrations, and is a critical parameter in the analysis of rotational motion and vibration in mechanical systems and is represented as F = I_d*α or Force = Mass Moment of Inertia of Disc*Angular Acceleration. 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 & Angular Acceleration is the rate of change of angular velocity of an object rotating around a fixed axis in a torsional vibration system.

How to calculate Accelerating Force?

Accelerating Force formula is defined as a measure of the force that causes an object to rotate or twist around a central axis, resulting in torsional vibrations, and is a critical parameter in the analysis of rotational motion and vibration in mechanical systems is calculated using Force = Mass Moment of Inertia of Disc*Angular Acceleration. To calculate Accelerating Force, you need Mass Moment of Inertia of Disc (I_d) & Angular Acceleration (α). With our tool, you need to enter the respective value for Mass Moment of Inertia of Disc & Angular Acceleration 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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