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 = (Vlongitudinal*x)/vs
This formula uses 4 Variables
Variables Used
Length of Constraint - (Measured in Meter) - Length of Constraint is a measure of distance.
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.
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.
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.
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 = (Vlongitudinal*x)/vs --> (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 00.004 seconds)

Credits

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

Length of Constraint for Longitudinal Vibration Formula

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

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 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, The Length of constraint for longitudinal vibration formula is defined as a measure of distance. 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 (Vlongitudinal), Distance between Small Element and Fixed End (x) & Velocity of Small Element (vs) and hit the calculate button. Here is how the Length of Constraint for Longitudinal Vibration calculation can be explained with given input values -> 3480 = (4*0.00366)/2.

FAQ

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