Velocity of Small Element for Longitudinal Vibration Calculator

✖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%
✖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%
✖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 [l]			+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 for Longitudinal Vibration [v_s]

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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) - Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to 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.
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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = (x*V_longitudinal)/l --> (0.00366*4)/0.00732

Evaluating ... ...

v_s = 2

STEP 3: Convert Result to Output's Unit

2 Meter per Second --> No Conversion Required

FINAL ANSWER

2 Meter per Second <-- Velocity of Small Element

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Velocity of Small Element for Longitudinal Vibration Formula

LaTeX Go

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 Velocity in Vibration?

Velocity in vibration refers to the rate at which a vibrating object or particle changes its position. It is a vector quantity that has both magnitude (speed) and direction. In simple harmonic motion, the velocity of a vibrating object varies continuously, reaching its maximum value at the equilibrium position and becoming zero at the maximum displacement points.

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, 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 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 -> 1.997271 = (0.00366*4)/0.00732.

FAQ

What is Velocity of Small Element for Longitudinal Vibration?

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 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 the length between a small element and the fixed end in a vibrating system, affecting inertia constraints, 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 & Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.

How to calculate Velocity of Small Element for Longitudinal Vibration?

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 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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