Longitudinal Velocity of Free End for Longitudinal Vibration Calculator

✖Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior.ⓘ Kinetic Energy [KE]			+10% -10%
✖Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.ⓘ Total Mass of Constraint [m_c]			+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 for Longitudinal Vibration [V_longitudinal]

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Longitudinal Velocity of Free End for Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint)
V_longitudinal = sqrt((6*KE)/m_c)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior.
Total Mass of Constraint - (Measured in Kilogram) - Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Total Mass of Constraint: 28.125 Kilogram --> 28.125 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_longitudinal = sqrt((6*KE)/m_c) --> sqrt((6*75)/28.125)

Evaluating ... ...

V_longitudinal = 4

STEP 3: Convert Result to Output's Unit

4 Meter per Second --> No Conversion Required

FINAL ANSWER

4 Meter per Second <-- Longitudinal Velocity of Free End

(Calculation completed in 00.021 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

Longitudinal Velocity of Free End for Longitudinal Vibration Formula

LaTeX Go

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

What is Longitudinal Velocity?

Longitudinal velocity is the speed at which a particle in a longitudinal wave oscillates back and forth along the direction of wave propagation. It is a measure of the particle's displacement per unit time in the longitudinal direction.

How to Calculate Longitudinal Velocity of Free End for Longitudinal Vibration?

Longitudinal Velocity of Free End for Longitudinal Vibration calculator uses Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint) to calculate the Longitudinal Velocity of Free End, Longitudinal Velocity of Free End for Longitudinal Vibration formula is defined as a measure of the velocity of the free end of an object undergoing longitudinal vibration, which is influenced by the kinetic energy and mass of the constrained object, providing insight into the effect of inertia in longitudinal and transverse vibrations. Longitudinal Velocity of Free End is denoted by V_longitudinal symbol.

How to calculate Longitudinal Velocity of Free End for Longitudinal Vibration using this online calculator? To use this online calculator for Longitudinal Velocity of Free End for Longitudinal Vibration, enter Kinetic Energy (KE) & Total Mass of Constraint (m_c) and hit the calculate button. Here is how the Longitudinal Velocity of Free End for Longitudinal Vibration calculation can be explained with given input values -> 4.008919 = sqrt((6*75)/28.125).

FAQ

What is Longitudinal Velocity of Free End for Longitudinal Vibration?

Longitudinal Velocity of Free End for Longitudinal Vibration formula is defined as a measure of the velocity of the free end of an object undergoing longitudinal vibration, which is influenced by the kinetic energy and mass of the constrained object, providing insight into the effect of inertia in longitudinal and transverse vibrations and is represented as V_longitudinal = sqrt((6*KE)/m_c) or Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint). Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior & Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

How to calculate Longitudinal Velocity of Free End for Longitudinal Vibration?

Longitudinal Velocity of Free End for Longitudinal Vibration formula is defined as a measure of the velocity of the free end of an object undergoing longitudinal vibration, which is influenced by the kinetic energy and mass of the constrained object, providing insight into the effect of inertia in longitudinal and transverse vibrations is calculated using Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint). To calculate Longitudinal Velocity of Free End for Longitudinal Vibration, you need Kinetic Energy (KE) & Total Mass of Constraint (m_c). With our tool, you need to enter the respective value for Kinetic Energy & Total Mass 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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