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Velocity of Small Element for Longitudinal Vibration Formula

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

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

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

Velocity of Small Element for Longitudinal Vibration Example

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Here is how the Velocity of Small Element for Longitudinal Vibration equation looks like with Values.

Here is how the Velocity of Small Element for Longitudinal Vibration equation looks like with Units.

Here is how the Velocity of Small Element for Longitudinal Vibration equation looks like.

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

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

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

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Velocity of Small Element for Longitudinal Vibration Solution

Follow our step by step solution on how to calculate Velocity of Small Element for Longitudinal Vibration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

v s = \frac{0.0037m \cdot 4m/s}{0.0073m}

Next Step Prepare to Evaluate

∴

v s = \frac{0.0037 \cdot 4}{0.0073}

LAST Step Evaluate

∴

v s = 2m/s

Velocity of Small Element for Longitudinal Vibration Formula Elements

Variables

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

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

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

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

Other formulas in Longitudinal Vibration category

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}}

Go Natural Frequency of Longitudinal Vibration

f = \sqrt{\frac{s constrain}{W attached + \frac{m c}{3}}} \cdot \frac{1}{2 \cdot π}

How to Evaluate Velocity of Small Element for Longitudinal Vibration?

Velocity of Small Element for Longitudinal Vibration evaluator uses Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint to evaluate the Velocity of Small Element, Velocity of Small Element for Longitudinal Vibration formula is defined as a measure of the velocity of a small element in a longitudinal vibration, which is affected by the inertia of the constraint, and is used to analyze the vibrations in various mechanical systems. Velocity of Small Element is denoted by v_s symbol.

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

FAQs on Velocity of Small Element for Longitudinal Vibration

What is the formula to find Velocity of Small Element for Longitudinal Vibration?

The formula of Velocity of Small Element for Longitudinal Vibration is expressed as Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint. Here is an example- 1.997271 = (0.00366*4)/0.00732.

How to calculate Velocity of Small Element for Longitudinal Vibration?

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

Can the Velocity of Small Element for Longitudinal Vibration be negative?

No, the Velocity of Small Element for Longitudinal Vibration, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Small Element for Longitudinal Vibration?

Velocity of Small Element for Longitudinal Vibration is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Small Element for Longitudinal Vibration can be measured.

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Velocity of Small Element for Longitudinal Vibration Formula

Velocity of Small Element for Longitudinal Vibration Example

Velocity of Small Element for Longitudinal Vibration Solution

Velocity of Small Element for Longitudinal Vibration Formula Elements

Other formulas in Longitudinal Vibration category

How to Evaluate Velocity of Small Element for Longitudinal Vibration?

FAQs on Velocity of Small Element for Longitudinal Vibration

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