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Angular Displacement of Shaft from Mean Position Formula

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

θ = \frac{F r}{q}

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

Angular Displacement of Shaft from Mean Position Example

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Here is how the Angular Displacement of Shaft from Mean Position equation looks like with Values.

Here is how the Angular Displacement of Shaft from Mean Position equation looks like with Units.

Here is how the Angular Displacement of Shaft from Mean Position equation looks like.

12.037 = \frac{65}{5.4}

12.037rad = \frac{65N}{5.4N/m}

12.037 = \frac{65}{5.4}

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Angular Displacement of Shaft from Mean Position Solution

Follow our step by step solution on how to calculate Angular Displacement of Shaft from Mean Position?

FIRST Step Consider the formula

θ = \frac{F r}{q}

Next Step Substitute values of Variables

∴

θ = \frac{65N}{5.4N/m}

Next Step Prepare to Evaluate

∴

θ = \frac{65}{5.4}

Next Step Evaluate

∴

θ = 12.037037037037rad

LAST Step Rounding Answer

∴

θ = 12.037rad

Angular Displacement of Shaft from Mean Position Formula Elements

Variables

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

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

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 Angular Displacement of Shaft from Mean Position?

Angular Displacement of Shaft from Mean Position evaluator uses Angular Displacement of Shaft = Restoring Force/Torsional Stiffness to evaluate the Angular Displacement of Shaft, Angular Displacement of Shaft from Mean Position formula is defined as a measure of the rotation of a shaft from its mean position, which is a critical parameter in torsional vibrations, helping to analyze the oscillations of a shaft around its equilibrium position. Angular Displacement of Shaft is denoted by θ symbol.

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

FAQs on Angular Displacement of Shaft from Mean Position

What is the formula to find Angular Displacement of Shaft from Mean Position?

The formula of Angular Displacement of Shaft from Mean Position is expressed as Angular Displacement of Shaft = Restoring Force/Torsional Stiffness. Here is an example- 12.03704 = 65/5.4.

How to calculate Angular Displacement of Shaft from Mean Position?

With Restoring Force (F_r) & Torsional Stiffness (q) we can find Angular Displacement of Shaft from Mean Position using the formula - Angular Displacement of Shaft = Restoring Force/Torsional Stiffness.

Can the Angular Displacement of Shaft from Mean Position be negative?

Yes, the Angular Displacement of Shaft from Mean Position, measured in Angle can be negative.

Which unit is used to measure Angular Displacement of Shaft from Mean Position?

Angular Displacement of Shaft from Mean Position is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angular Displacement of Shaft from Mean Position can be measured.

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Angular Displacement of Shaft from Mean Position Formula

Angular Displacement of Shaft from Mean Position Example

Angular Displacement of Shaft from Mean Position Solution

Angular Displacement of Shaft from Mean Position Formula Elements

Other formulas in Natural Frequency of Free Torsional Vibrations category

How to Evaluate Angular Displacement of Shaft from Mean Position?

FAQs on Angular Displacement of Shaft from Mean Position

Variable Name