Velocity of Small Element for Longitudinal Vibration Calculator

✖Distance between Small Element and Fixed End is a numerical measurement of how far apart objects or points are.ⓘ Distance between Small Element and Fixed End [x]			+10% -10%
✖The Longitudinal Velocity of Free End is the rate of propagation of a wave parallel to the direction of motion of the particles.ⓘ Longitudinal Velocity of Free End [V_longitudinal]			+10% -10%
✖Length of Constraint is a measure of distance.ⓘ Length of Constraint [l]			+10% -10%

✖The Velocity of Small Element is the rate of change of its position with respect to a frame of reference.ⓘ Velocity of Small Element for Longitudinal Vibration [v_s]

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Formula

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Velocity of Small Element for Longitudinal Vibration

Formula

`"v"_{"s"} = ("x"*"V"_{"longitudinal"})/"l"`

Example

`"1.997271m/s"=("3.66mm"*"4m/s")/"7.33mm"`

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Download Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations Formulas PDF

Velocity of Small Element for Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Velocity of Small Element - (Measured in Meter per Second) - The Velocity of Small Element is the rate of change of its position with respect to a frame of reference.
Distance between Small Element and Fixed End - (Measured in Meter) - Distance between Small Element and Fixed End is a numerical measurement of how far apart objects or points are.
Longitudinal Velocity of Free End - (Measured in Meter per Second) - The Longitudinal Velocity of Free End is the rate of propagation of a wave parallel to the direction of motion of the particles.
Length of Constraint - (Measured in Meter) - Length of Constraint is a measure of distance.

STEP 1: Convert Input(s) to Base Unit

Distance between Small Element and Fixed End: 3.66 Millimeter --> 0.00366 Meter (Check conversion here)
Longitudinal Velocity of Free End: 4 Meter per Second --> 4 Meter per Second No Conversion Required
Length of Constraint: 7.33 Millimeter --> 0.00733 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = (x*V_longitudinal)/l --> (0.00366*4)/0.00733

Evaluating ... ...

v_s = 1.99727148703956

STEP 3: Convert Result to Output's Unit

1.99727148703956 Meter per Second --> No Conversion Required

FINAL ANSWER

1.99727148703956 ≈ 1.997271 Meter per Second <-- Velocity of Small Element

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations » Longitudinal Vibration » Velocity of Small Element for Longitudinal Vibration

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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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< 6 Longitudinal Vibration Calculators

Natural Frequency of Longitudinal Vibration

Go Frequency = sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint/3))*1/(2*pi)

Velocity of Small Element for Longitudinal Vibration

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

Length of Constraint for Longitudinal Vibration

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

Longitudinal Velocity of Free End for Longitudinal Vibration

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

Total Mass of Constraint for Longitudinal Vibration

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

Total Kinetic Energy of Constraint in Longitudinal Vibration

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

Velocity of Small Element for Longitudinal Vibration Formula

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

What is longitudinal mode of vibration?

A longitudinal mode of a resonant cavity is a particular standing wave pattern formed by waves confined in the cavity. The longitudinal modes correspond to the wavelengths of the wave which are reinforced by constructive interference after many reflections from the cavity's reflecting surfaces.

How to Calculate Velocity of Small Element for Longitudinal Vibration?

Velocity of Small Element for Longitudinal Vibration calculator uses Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint to calculate the Velocity of Small Element, The Velocity of small element for longitudinal vibration formula is defined as the rate of change of its position with respect to a frame of reference. Velocity of Small Element is denoted by v_s symbol.

How to calculate Velocity of Small Element for Longitudinal Vibration using this online calculator? To use this online calculator 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. Here is how the Velocity of Small Element for Longitudinal Vibration calculation can be explained with given input values -> 0.949523 = (0.00366*4)/0.00733.

FAQ

What is Velocity of Small Element for Longitudinal Vibration?

The Velocity of small element for longitudinal vibration formula is defined as the rate of change of its position with respect to a frame of reference and is represented as v_s = (x*V_longitudinal)/l or Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint. Distance between Small Element and Fixed End is a numerical measurement of how far apart objects or points are, The Longitudinal Velocity of Free End is the rate of propagation of a wave parallel to the direction of motion of the particles & Length of Constraint is a measure of distance.

How to calculate Velocity of Small Element for Longitudinal Vibration?

The Velocity of small element for longitudinal vibration formula is defined as the rate of change of its position with respect to a frame of reference is calculated using Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint. To calculate Velocity of Small Element for Longitudinal Vibration, you need Distance between Small Element and Fixed End (x), Longitudinal Velocity of Free End (V_longitudinal) & Length of Constraint (l). With our tool, you need to enter the respective value for Distance between Small Element and Fixed End, Longitudinal Velocity of Free End & Length of Constraint 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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