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Length of Constraint for Longitudinal Vibration Formula

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Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system. Check FAQs

l = \frac{V longitudinal \cdot x}{v s}

l - Length of Constraint?V_longitudinal - Longitudinal Velocity of Free End?x - Distance between Small Element and Fixed End?v_s - Velocity of Small Element?

Length of Constraint for Longitudinal Vibration Example

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Here is how the Length of Constraint for Longitudinal Vibration equation looks like with Values.

Here is how the Length of Constraint for Longitudinal Vibration equation looks like with Units.

Here is how the Length of Constraint for Longitudinal Vibration equation looks like.

7.32 = \frac{4 \cdot 3.66}{2}

7.32mm = \frac{4m/s \cdot 3.66mm}{2m/s}

7.32 = \frac{4 \cdot 3.66}{2}

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Length of Constraint for Longitudinal Vibration Solution

Follow our step by step solution on how to calculate Length of Constraint for Longitudinal Vibration?

FIRST Step Consider the formula

l = \frac{V longitudinal \cdot x}{v s}

Next Step Substitute values of Variables

∴

l = \frac{4m/s \cdot 3.66mm}{2m/s}

Next Step Convert Units

∴

l = \frac{4m/s \cdot 0.0037m}{2m/s}

Next Step Prepare to Evaluate

∴

l = \frac{4 \cdot 0.0037}{2}

Next Step Evaluate

∴

l = 0.00732m

LAST Step Convert to Output's Unit

∴

l = 7.32mm

Length of Constraint for Longitudinal Vibration Formula Elements

Variables

Length of Constraint

Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Constraint

Longitudinal Velocity of Free End

Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected by the inertia of constraints in longitudinal and transverse vibrations.

Symbol: V_longitudinal

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Longitudinal Velocity of Free End

Distance between Small Element and Fixed End

Distance between Small Element and Fixed End is the length between a small element and the fixed end in a vibrating system, affecting inertia constraints.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Small Element and Fixed End

Velocity of Small Element

Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Small Element

Other formulas in Longitudinal Vibration category

Go Velocity of Small Element for Longitudinal Vibration

v s = \frac{x \cdot V longitudinal}{l}

Go Total Kinetic Energy of Constraint in Longitudinal Vibration

KE = \frac{m c \cdot {V longitudinal}^{2}}{6}

Go Longitudinal Velocity of Free End for Longitudinal Vibration

V longitudinal = \sqrt{\frac{6 \cdot KE}{m c}}

Go Total Mass of Constraint for Longitudinal Vibration

m c = \frac{6 \cdot KE}{{V longitudinal}^{2}}

How to Evaluate Length of Constraint for Longitudinal Vibration?

Length of Constraint for Longitudinal Vibration evaluator uses Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element to evaluate the Length of Constraint, Length of Constraint for Longitudinal Vibration formula is defined as the distance required to constrain an object's longitudinal vibration, which is affected by the inertia of the constraint and the vibration's speed and frequency. Length of Constraint is denoted by l symbol.

How to evaluate Length of Constraint for Longitudinal Vibration using this online evaluator? To use this online evaluator for Length of Constraint for Longitudinal Vibration, enter Longitudinal Velocity of Free End (V_longitudinal), Distance between Small Element and Fixed End (x) & Velocity of Small Element (v_s) and hit the calculate button.

FAQs on Length of Constraint for Longitudinal Vibration

What is the formula to find Length of Constraint for Longitudinal Vibration?

The formula of Length of Constraint for Longitudinal Vibration is expressed as Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element. Here is an example- 7320 = (4*0.00366)/2.

How to calculate Length of Constraint for Longitudinal Vibration?

With Longitudinal Velocity of Free End (V_longitudinal), Distance between Small Element and Fixed End (x) & Velocity of Small Element (v_s) we can find Length of Constraint for Longitudinal Vibration using the formula - Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element.

Can the Length of Constraint for Longitudinal Vibration be negative?

No, the Length of Constraint for Longitudinal Vibration, measured in Length cannot be negative.

Which unit is used to measure Length of Constraint for Longitudinal Vibration?

Length of Constraint for Longitudinal Vibration is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Constraint for Longitudinal Vibration can be measured.

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Length of Constraint for Longitudinal Vibration Formula

Length of Constraint for Longitudinal Vibration Example

Length of Constraint for Longitudinal Vibration Solution

Length of Constraint for Longitudinal Vibration Formula Elements

Other formulas in Longitudinal Vibration category

How to Evaluate Length of Constraint for Longitudinal Vibration?

FAQs on Length of Constraint for Longitudinal Vibration

Variable Name