Total Kinetic Energy of Constraint in Longitudinal Vibration Calculator

✖Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration.ⓘ Total Mass of Constraint [m_c]			+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%

✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.ⓘ Total Kinetic Energy of Constraint in Longitudinal Vibration [KE]

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Total Kinetic Energy of Constraint in Longitudinal Vibration

Formula

`"KE" = ("m"_{"c"}*"V"_{"longitudinal"}^2)/6`

Example

`"74.66667J"=("28kg"*("4m/s")^2)/6`

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

Total Kinetic Energy of Constraint in Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
Total Mass of Constraint - (Measured in Kilogram) - Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration.
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.

STEP 1: Convert Input(s) to Base Unit

Total Mass of Constraint: 28 Kilogram --> 28 Kilogram 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

KE = (m_c*V_longitudinal^2)/6 --> (28*4^2)/6

Evaluating ... ...

KE = 74.6666666666667

STEP 3: Convert Result to Output's Unit

74.6666666666667 Joule --> No Conversion Required

FINAL ANSWER

74.6666666666667 ≈ 74.66667 Joule <-- Kinetic Energy

(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 » Total Kinetic Energy of Constraint in 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

Total Kinetic Energy of Constraint in Longitudinal Vibration Formula

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

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 Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration calculator uses Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6 to calculate the Kinetic Energy, The Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy that it possesses due to its motion. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration using this online calculator? To use this online calculator for Total Kinetic Energy of Constraint in Longitudinal Vibration, enter Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal) and hit the calculate button. Here is how the Total Kinetic Energy of Constraint in Longitudinal Vibration calculation can be explained with given input values -> 9.066667 = (28*4^2)/6.

FAQ

What is Total Kinetic Energy of Constraint in Longitudinal Vibration?

The Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy that it possesses due to its motion and is represented as KE = (m_c*V_longitudinal^2)/6 or Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6. Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration & The Longitudinal Velocity of Free End is the rate of propagation of a wave parallel to the direction of motion of the particles.

How to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration?

The Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy that it possesses due to its motion is calculated using Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6. To calculate Total Kinetic Energy of Constraint in Longitudinal Vibration, you need Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal). With our tool, you need to enter the respective value for Total Mass of Constraint & 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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