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Restoring Force for Free Torsional Vibrations Formula

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Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state. Check FAQs

F r = q \cdot θ

F_r - Restoring Force?q - Torsional Stiffness?θ - Angular Displacement of Shaft?

Restoring Force for Free Torsional Vibrations Example

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Here is how the Restoring Force for Free Torsional Vibrations equation looks like with Values.

Here is how the Restoring Force for Free Torsional Vibrations equation looks like with Units.

Here is how the Restoring Force for Free Torsional Vibrations equation looks like.

64.8 = 5.4 \cdot 12

64.8N = 5.4N/m \cdot 12rad

64.8 = 5.4 \cdot 12

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Restoring Force for Free Torsional Vibrations Solution

Follow our step by step solution on how to calculate Restoring Force for Free Torsional Vibrations?

FIRST Step Consider the formula

F r = q \cdot θ

Next Step Substitute values of Variables

∴

F r = 5.4N/m \cdot 12rad

Next Step Prepare to Evaluate

∴

F r = 5.4 \cdot 12

LAST Step Evaluate

∴

F r = 64.8N

Restoring Force for Free Torsional Vibrations Formula Elements

Variables

Restoring Force

Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Restoring Force

Torsional Stiffness

torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.

Symbol: q

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Torsional Stiffness

Angular Displacement of Shaft

Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Displacement of Shaft

Other formulas in Natural Frequency of Free Torsional Vibrations category

Go Moment of Inertia of Disc using Natural Frequency of Vibration

I d = \frac{q}{{(2 \cdot π \cdot f n)}^{2}}

Go Torsional Stiffness of Shaft given Natural Frequency of Vibration

q = {(2 \cdot π \cdot f n)}^{2} \cdot I d

Go Moment of Inertia of Disc given Time Period of Vibration

I d = \frac{{t p}^{2} \cdot q}{{(2 \cdot π)}^{2}}

Go Torsional Stiffness of Shaft given Time Period of Vibration

q = \frac{{(2 \cdot π)}^{2} \cdot I d}{{(t p)}^{2}}

How to Evaluate Restoring Force for Free Torsional Vibrations?

Restoring Force for Free Torsional Vibrations evaluator uses Restoring Force = Torsional Stiffness*Angular Displacement of Shaft to evaluate the Restoring Force, Restoring Force for Free Torsional Vibrations formula is defined as the measure of the force that tends to restore an object to its original position after it has been displaced from its equilibrium position during torsional vibrations, providing a quantitative representation of the restoring torque. Restoring Force is denoted by F_r symbol.

How to evaluate Restoring Force for Free Torsional Vibrations using this online evaluator? To use this online evaluator for Restoring Force for Free Torsional Vibrations, enter Torsional Stiffness (q) & Angular Displacement of Shaft (θ) and hit the calculate button.

FAQs on Restoring Force for Free Torsional Vibrations

What is the formula to find Restoring Force for Free Torsional Vibrations?

The formula of Restoring Force for Free Torsional Vibrations is expressed as Restoring Force = Torsional Stiffness*Angular Displacement of Shaft. Here is an example- 64.8 = 5.4*12.

How to calculate Restoring Force for Free Torsional Vibrations?

With Torsional Stiffness (q) & Angular Displacement of Shaft (θ) we can find Restoring Force for Free Torsional Vibrations using the formula - Restoring Force = Torsional Stiffness*Angular Displacement of Shaft.

Can the Restoring Force for Free Torsional Vibrations be negative?

No, the Restoring Force for Free Torsional Vibrations, measured in Force cannot be negative.

Which unit is used to measure Restoring Force for Free Torsional Vibrations?

Restoring Force for Free Torsional Vibrations is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Restoring Force for Free Torsional Vibrations can be measured.

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Restoring Force for Free Torsional Vibrations Formula

Restoring Force for Free Torsional Vibrations Example

Restoring Force for Free Torsional Vibrations Solution

Restoring Force for Free Torsional Vibrations Formula Elements

Other formulas in Natural Frequency of Free Torsional Vibrations category

How to Evaluate Restoring Force for Free Torsional Vibrations?

FAQs on Restoring Force for Free Torsional Vibrations

Variable Name