Transverse Velocity of Free End 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%

✖Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced by the inertia of constraints in longitudinal and transverse vibrations.ⓘ Transverse Velocity of Free End [V_traverse]

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Transverse Velocity of Free End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))
V_traverse = sqrt((280*KE)/(33*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

Transverse Velocity of Free End - (Measured in Meter per Second) - Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced 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_traverse = sqrt((280*KE)/(33*m_c)) --> sqrt((280*75)/(33*28.125))

Evaluating ... ...

V_traverse = 4.75670712008451

STEP 3: Convert Result to Output's Unit

4.75670712008451 Meter per Second --> No Conversion Required

FINAL ANSWER

4.75670712008451 ≈ 4.756707 Meter per Second <-- Transverse Velocity of Free End

(Calculation completed in 00.004 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 » Mechanical » Transverse Vibration » Transverse Velocity of Free End

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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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< Transverse Vibration Calculators

Velocity of Small Element for Transverse Vibrations

LaTeX Go Velocity of Small Element = ((3*Length of Constraint*Distance between Small Element and Fixed End^2-Distance between Small Element and Fixed End^3)*Transverse Velocity of Free End)/(2*Length of Constraint^3)

Transverse Velocity of Free End

LaTeX Go Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))

Total Mass of Constraint for Transverse Vibrations

LaTeX Go Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)

Total Kinetic Energy of Constraint for Transverse Vibrations

LaTeX Go Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280

Transverse Velocity of Free End Formula

LaTeX Go

Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))
V_traverse = sqrt((280*KE)/(33*m_c))

What is Transverse Velocity?

Transverse velocity is the speed at which a particle in a transverse wave oscillates perpendicular to the direction of wave propagation. It is a measure of the particle's displacement per unit time in the transverse direction. In other words, it is the maximum speed that a particle reaches as it moves up and down or side to side in a transverse wave.

How to Calculate Transverse Velocity of Free End?

Transverse Velocity of Free End calculator uses Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)) to calculate the Transverse Velocity of Free End, Transverse Velocity of Free End formula is defined as a measure of the velocity of the free end of a vibrating system, influenced by the effect of inertia of constraint in longitudinal and transverse vibrations, providing insight into the dynamic behavior of the system under various constraints. Transverse Velocity of Free End is denoted by V_traverse symbol.

How to calculate Transverse Velocity of Free End using this online calculator? To use this online calculator for Transverse Velocity of Free End, enter Kinetic Energy (KE) & Total Mass of Constraint (m_c) and hit the calculate button. Here is how the Transverse Velocity of Free End calculation can be explained with given input values -> 4.756707 = sqrt((280*75)/(33*28.125)).

FAQ

What is Transverse Velocity of Free End?

Transverse Velocity of Free End formula is defined as a measure of the velocity of the free end of a vibrating system, influenced by the effect of inertia of constraint in longitudinal and transverse vibrations, providing insight into the dynamic behavior of the system under various constraints and is represented as V_traverse = sqrt((280*KE)/(33*m_c)) or Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*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 Transverse Velocity of Free End?

Transverse Velocity of Free End formula is defined as a measure of the velocity of the free end of a vibrating system, influenced by the effect of inertia of constraint in longitudinal and transverse vibrations, providing insight into the dynamic behavior of the system under various constraints is calculated using Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)). To calculate Transverse Velocity of Free End, 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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