Total Mass of Constraint for Transverse Vibrations 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%
✖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]			+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 Transverse Vibrations [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 Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)
m_c = (280*KE)/(33*V_traverse^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.
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.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Transverse Velocity of Free End: 4.756707 Meter per Second --> 4.756707 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_c = (280*KE)/(33*V_traverse^2) --> (280*75)/(33*4.756707^2)

Evaluating ... ...

m_c = 28.1250014200483

STEP 3: Convert Result to Output's Unit

28.1250014200483 Kilogram --> No Conversion Required

FINAL ANSWER

28.1250014200483 ≈ 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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< 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

Total Mass of Constraint for Transverse Vibrations Formula

LaTeX Go

Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)
m_c = (280*KE)/(33*V_traverse^2)

What is Frequency Wave?

Frequency wave is the number of times a wave repeats itself in a given amount of time. It's measured in Hertz (Hz). A high frequency means more repetitions per second, while a low frequency means fewer. Frequency is inversely related to wavelength. Sound waves, radio waves, and light waves are all examples of frequency waves.

How to Calculate Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations calculator uses Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2) to calculate the Total Mass of Constraint, Total Mass of Constraint for Transverse Vibrations formula is defined as a measure of the mass of the constraint that affects the transverse vibrations of a system, taking into account the kinetic energy and traverse velocity of the system, which is essential in understanding the effect of inertia of constraint in longitudinal and transverse vibrations. Total Mass of Constraint is denoted by m_c symbol.

How to calculate Total Mass of Constraint for Transverse Vibrations using this online calculator? To use this online calculator for Total Mass of Constraint for Transverse Vibrations, enter Kinetic Energy (KE) & Transverse Velocity of Free End (V_traverse) and hit the calculate button. Here is how the Total Mass of Constraint for Transverse Vibrations calculation can be explained with given input values -> 28.12508 = (280*75)/(33*4.756707^2).

FAQ

What is Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations formula is defined as a measure of the mass of the constraint that affects the transverse vibrations of a system, taking into account the kinetic energy and traverse velocity of the system, which is essential in understanding the effect of inertia of constraint in longitudinal and transverse vibrations and is represented as m_c = (280*KE)/(33*V_traverse^2) or Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse 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 & 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.

How to calculate Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations formula is defined as a measure of the mass of the constraint that affects the transverse vibrations of a system, taking into account the kinetic energy and traverse velocity of the system, which is essential in understanding the effect of inertia of constraint in longitudinal and transverse vibrations is calculated using Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2). To calculate Total Mass of Constraint for Transverse Vibrations, you need Kinetic Energy (KE) & Transverse Velocity of Free End (V_traverse). With our tool, you need to enter the respective value for Kinetic Energy & Transverse 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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