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)
Vlongitudinal = sqrt((6*KE)/mc)
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) - The Longitudinal Velocity of Free End is the rate of propagation of a wave parallel to the direction of motion of the particles.
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.
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Total Mass of Constraint: 28 Kilogram --> 28 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vlongitudinal = sqrt((6*KE)/mc) --> sqrt((6*75)/28)
Evaluating ... ...
Vlongitudinal = 4.00891862868637
STEP 3: Convert Result to Output's Unit
4.00891862868637 Meter per Second --> No Conversion Required
FINAL ANSWER
4.00891862868637 4.008919 Meter per Second <-- Longitudinal Velocity of Free End
(Calculation completed in 00.004 seconds)

Credits

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

Longitudinal Velocity of Free End for Longitudinal Vibration Formula

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

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 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, The Longitudinal velocity of free end for longitudinal vibration formula is defined as the rate of propagation of a wave parallel to the direction of motion of the particles. Longitudinal Velocity of Free End is denoted by Vlongitudinal 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 (mc) 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 -> 11.50447 = sqrt((6*75)/28).

FAQ

What is Longitudinal Velocity of Free End for Longitudinal Vibration?
The Longitudinal velocity of free end for longitudinal vibration formula is defined as the rate of propagation of a wave parallel to the direction of motion of the particles and is represented as Vlongitudinal = sqrt((6*KE)/mc) or Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint). 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 is both a property of a physical body and a measure of its resistance to acceleration.
How to calculate Longitudinal Velocity of Free End for Longitudinal Vibration?
The Longitudinal velocity of free end for longitudinal vibration formula is defined as the rate of propagation of a wave parallel to the direction of motion of the particles 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 (mc). 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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