Accelerating Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Mass Moment of Inertia of Disc*Angular Acceleration
F = Idisc*α
This formula uses 3 Variables
Variables Used
Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
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.
Angular Acceleration - (Measured in Radian per Square Second) - Angular acceleration refers to the time rate of change of angular velocity.
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: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = Idisc*α --> 6.2*1.6
Evaluating ... ...
F = 9.92
STEP 3: Convert Result to Output's Unit
9.92 Newton --> No Conversion Required
FINAL ANSWER
9.92 Newton <-- Force
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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13 Natural Frequency of Free Torsional Vibrations Calculators

Natural Frequency of Vibration
Go Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi)
Time Period for Vibrations
Go Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness)
Angular Velocity of Shaft
Go Angular Velocity = sqrt(Torsional Stiffness of Shaft/Mass Moment of Inertia of Disc)
Torsional Stiffness of Shaft given Time Period of Vibration
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
Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)
Moment of Inertia of Disc using Natural Frequency of Vibration
Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Frequency)^2)
Torsional Stiffness of Shaft given Natural Frequency of Vibration
Go Torsional Stiffness = (2*pi*Frequency)^2*Mass Moment of Inertia of Disc
Moment of Inertia of Disc given Angular Velocity
Go Mass Moment of Inertia of Disc = Torsional Stiffness of Shaft/(Angular Velocity^2)
Torsional Stiffness of Shaft given Angular Velocity
Go Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc
Angular Displacement of Shaft from Mean Position
Go Angular Displacement of Shaft = Restoring Force/Torsional Stiffness
Restoring Force for Free Torsional Vibrations
Go Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
Torsional Stiffness of Shaft
Go Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
Accelerating Force
Go Force = Mass Moment of Inertia of Disc*Angular Acceleration

Accelerating Force Formula

Force = Mass Moment of Inertia of Disc*Angular Acceleration
F = Idisc*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, The Accelerating force formula is defined as any interaction that, when unopposed, will change the motion of an object. 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 (Idisc) & Angular Acceleration (α) and hit the calculate button. Here is how the Accelerating Force calculation can be explained with given input values -> 0.064 = 6.2*1.6.

FAQ

What is Accelerating Force?
The Accelerating force formula is defined as any interaction that, when unopposed, will change the motion of an object and is represented as F = Idisc or Force = Mass Moment of Inertia of Disc*Angular Acceleration. Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis & Angular acceleration refers to the time rate of change of angular velocity.
How to calculate Accelerating Force?
The Accelerating force formula is defined as any interaction that, when unopposed, will change the motion of an object is calculated using Force = Mass Moment of Inertia of Disc*Angular Acceleration. To calculate Accelerating Force, you need Mass Moment of Inertia of Disc (Idisc) & 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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