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Torsional Stiffness of Shaft given Angular Velocity Formula

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Resistance Torsional Stiffness is the resistance of an object to twisting or rotational deformation, measured by the amount of torque required to produce a unit of angular deformation. Check FAQs

q r = ω^{2} \cdot I d

q_r - Resistance Torsional Stiffness?ω - Angular Velocity?I_d - Mass Moment of Inertia of Disc?

Torsional Stiffness of Shaft given Angular Velocity Example

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Here is how the Torsional Stiffness of Shaft given Angular Velocity equation looks like with Values.

Here is how the Torsional Stiffness of Shaft given Angular Velocity equation looks like with Units.

Here is how the Torsional Stiffness of Shaft given Angular Velocity equation looks like.

777.728 = {11.2}^{2} \cdot 6.2

777.728N/m = {11.2rad/s}^{2} \cdot 6.2kg·m²

777.728 = {11.2}^{2} \cdot 6.2

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Torsional Stiffness of Shaft given Angular Velocity Solution

Follow our step by step solution on how to calculate Torsional Stiffness of Shaft given Angular Velocity?

FIRST Step Consider the formula

q r = ω^{2} \cdot I d

Next Step Substitute values of Variables

∴

q r = {11.2rad/s}^{2} \cdot 6.2kg·m²

Next Step Prepare to Evaluate

∴

q r = {11.2}^{2} \cdot 6.2

LAST Step Evaluate

∴

q r = 777.728N/m

Torsional Stiffness of Shaft given Angular Velocity Formula Elements

Variables

Resistance Torsional Stiffness

Resistance Torsional Stiffness is the resistance of an object to twisting or rotational deformation, measured by the amount of torque required to produce a unit of angular deformation.

Symbol: q_r

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Resistance Torsional Stiffness

Angular Velocity

Angular Velocity is the measure of how quickly an object rotates or revolves around a central axis in a torsional vibration system.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Mass Moment of Inertia of Disc

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.

Symbol: I_d

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Mass Moment of Inertia of Disc

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 Torsional Stiffness of Shaft given Angular Velocity?

Torsional Stiffness of Shaft given Angular Velocity evaluator uses Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc to evaluate the Resistance Torsional Stiffness, Torsional Stiffness of Shaft given Angular Velocity formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity under various angular velocity conditions. Resistance Torsional Stiffness is denoted by q_r symbol.

How to evaluate Torsional Stiffness of Shaft given Angular Velocity using this online evaluator? To use this online evaluator for Torsional Stiffness of Shaft given Angular Velocity, enter Angular Velocity (ω) & Mass Moment of Inertia of Disc (I_d) and hit the calculate button.

FAQs on Torsional Stiffness of Shaft given Angular Velocity

What is the formula to find Torsional Stiffness of Shaft given Angular Velocity?

The formula of Torsional Stiffness of Shaft given Angular Velocity is expressed as Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc. Here is an example- 777.728 = 11.2^2*6.2.

How to calculate Torsional Stiffness of Shaft given Angular Velocity?

With Angular Velocity (ω) & Mass Moment of Inertia of Disc (I_d) we can find Torsional Stiffness of Shaft given Angular Velocity using the formula - Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc.

Can the Torsional Stiffness of Shaft given Angular Velocity be negative?

No, the Torsional Stiffness of Shaft given Angular Velocity, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Torsional Stiffness of Shaft given Angular Velocity?

Torsional Stiffness of Shaft given Angular Velocity is usually measured using the Newton per Meter[N/m] for Stiffness Constant. Newton per Millimeter[N/m], Kilonewton per Millimeter[N/m] are the few other units in which Torsional Stiffness of Shaft given Angular Velocity can be measured.

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Torsional Stiffness of Shaft given Angular Velocity Formula

Torsional Stiffness of Shaft given Angular Velocity Example

Torsional Stiffness of Shaft given Angular Velocity Solution

Torsional Stiffness of Shaft given Angular Velocity Formula Elements

Other formulas in Natural Frequency of Free Torsional Vibrations category

How to Evaluate Torsional Stiffness of Shaft given Angular Velocity?

FAQs on Torsional Stiffness of Shaft given Angular Velocity

Variable Name