Total Mass of Constraint 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%
✖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%

✖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 for Longitudinal Vibration [m_c]

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

Total Mass of Constraint for Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2)
m_c = (6*KE)/(V_longitudinal^2)
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Longitudinal Velocity of Free End: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_c = (6*KE)/(V_longitudinal^2) --> (6*75)/(4^2)

Evaluating ... ...

m_c = 28.125

STEP 3: Convert Result to Output's Unit

28.125 Kilogram --> No Conversion Required

FINAL ANSWER

28.125 Kilogram <-- Total Mass of Constraint

(Calculation completed in 00.004 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

Total Mass of Constraint for Longitudinal Vibration Formula

LaTeX Go

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

What is Mass in Vibration?

Mass in vibration refers to the amount of matter present in a vibrating system. It is a fundamental property of the system that influences its vibrational characteristics. A heavier mass generally requires more energy to vibrate at a given frequency compared to a lighter mass. In many cases, the mass of a system is directly related to its natural frequency of vibration.

How to Calculate Total Mass of Constraint for Longitudinal Vibration?

Total Mass of Constraint for Longitudinal Vibration calculator uses Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2) to calculate the Total Mass of Constraint, Total Mass of Constraint for Longitudinal Vibration formula is defined as a measure of the effective mass of a constraint that affects the longitudinal vibration of a system, taking into account the kinetic energy and longitudinal velocity of the system. Total Mass of Constraint is denoted by m_c symbol.

How to calculate Total Mass of Constraint for Longitudinal Vibration using this online calculator? To use this online calculator for Total Mass of Constraint for Longitudinal Vibration, enter Kinetic Energy (KE) & Longitudinal Velocity of Free End (V_longitudinal) and hit the calculate button. Here is how the Total Mass of Constraint for Longitudinal Vibration calculation can be explained with given input values -> 28.125 = (6*75)/(4^2).

FAQ

What is Total Mass of Constraint for Longitudinal Vibration?

Total Mass of Constraint for Longitudinal Vibration formula is defined as a measure of the effective mass of a constraint that affects the longitudinal vibration of a system, taking into account the kinetic energy and longitudinal velocity of the system and is represented as m_c = (6*KE)/(V_longitudinal^2) or Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2). 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 & 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.

How to calculate Total Mass of Constraint for Longitudinal Vibration?

Total Mass of Constraint for Longitudinal Vibration formula is defined as a measure of the effective mass of a constraint that affects the longitudinal vibration of a system, taking into account the kinetic energy and longitudinal velocity of the system is calculated using Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2). To calculate Total Mass of Constraint for Longitudinal Vibration, you need Kinetic Energy (KE) & Longitudinal Velocity of Free End (V_longitudinal). With our tool, you need to enter the respective value for Kinetic Energy & Longitudinal Velocity of Free End 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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