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)
mc = (6*KE)/(Vlongitudinal^2)
This formula uses 3 Variables
Variables Used
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.
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.
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
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
mc = (6*KE)/(Vlongitudinal^2) --> (6*75)/(4^2)
Evaluating ... ...
mc = 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 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
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 Mass of Constraint for Longitudinal Vibration Formula

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

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 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, The Total mass of constraint for longitudinal vibration formula is defined as both a property of a physical body and a measure of its resistance to acceleration. Total Mass of Constraint is denoted by mc 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 (Vlongitudinal) 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?
The Total mass of constraint for longitudinal vibration formula is defined as both a property of a physical body and a measure of its resistance to acceleration and is represented as mc = (6*KE)/(Vlongitudinal^2) or Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2). 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 & 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 Mass of Constraint for Longitudinal Vibration?
The Total mass of constraint for longitudinal vibration formula is defined as both a property of a physical body and a measure of its resistance to acceleration 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 (Vlongitudinal). 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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