Length of Constraint for Longitudinal Vibration Calculator

✖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.ⓘ Longitudinal Velocity of Free End [V_longitudinal]			+10% -10%
✖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.ⓘ Distance between Small Element and Fixed End [x]			+10% -10%
✖Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.ⓘ Velocity of Small Element [v_s]			+10% -10%

✖Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.ⓘ Length of Constraint for Longitudinal Vibration [l]

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Length of Constraint for Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element
l = (V_longitudinal*x)/v_s
This formula uses 4 Variables

Variables Used

Length of Constraint - (Measured in Meter) - Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.
Longitudinal Velocity of Free End - (Measured in Meter per Second) - 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.
Distance between Small Element and Fixed End - (Measured in Meter) - 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.
Velocity of Small Element - (Measured in Meter per Second) - Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Velocity of Free End: 4 Meter per Second --> 4 Meter per Second No Conversion Required
Distance between Small Element and Fixed End: 3.66 Millimeter --> 0.00366 Meter (Check conversion here)
Velocity of Small Element: 2 Meter per Second --> 2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (V_longitudinal*x)/v_s --> (4*0.00366)/2

Evaluating ... ...

l = 0.00732

STEP 3: Convert Result to Output's Unit

0.00732 Meter -->7.32 Millimeter (Check conversion here)

FINAL ANSWER

7.32 Millimeter <-- Length of Constraint

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Longitudinal Vibration Calculators

Velocity of Small Element for Longitudinal Vibration

LaTeX Go Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint

Longitudinal Velocity of Free End for Longitudinal Vibration

LaTeX Go Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint)

Total Mass of Constraint for Longitudinal Vibration

LaTeX Go Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2)

Total Kinetic Energy of Constraint in Longitudinal Vibration

LaTeX Go Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6

Length of Constraint for Longitudinal Vibration Formula

LaTeX Go

Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element
l = (V_longitudinal*x)/v_s

What is Longitudinal Mode of Vibration?

Longitudinal mode of vibration occurs in a system when the particles vibrate back and forth in the same direction as the wave propagates. This creates regions of compression and rarefaction. Examples include the vibration of a spring or the sound waves produced by a speaker.

How to Calculate Length of Constraint for Longitudinal Vibration?

Length of Constraint for Longitudinal Vibration calculator uses Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element to calculate 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 calculate Length of Constraint for Longitudinal Vibration using this online calculator? To use this online calculator 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. Here is how the Length of Constraint for Longitudinal Vibration calculation can be explained with given input values -> 7320 = (4*0.00366)/2.

FAQ

What is Length of Constraint for Longitudinal Vibration?

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 and is represented as l = (V_longitudinal*x)/v_s or Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element. 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, 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 & Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.

How to calculate Length of Constraint for Longitudinal Vibration?

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 is calculated using Length of Constraint = (Longitudinal Velocity of Free End*Distance between Small Element and Fixed End)/Velocity of Small Element. To calculate Length of Constraint for Longitudinal Vibration, you need Longitudinal Velocity of Free End (V_longitudinal), Distance between Small Element and Fixed End (x) & Velocity of Small Element (v_s). With our tool, you need to enter the respective value for Longitudinal Velocity of Free End, Distance between Small Element and Fixed End & Velocity of Small Element and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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