Total Kinetic Energy of Constraint for Transverse Vibrations Calculator

✖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]			+10% -10%

✖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 Kinetic Energy of Constraint for Transverse Vibrations [KE]

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Total Kinetic Energy of Constraint for Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280
KE = (33*m_c*V_traverse^2)/280
This formula uses 3 Variables

Variables Used

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.
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

Total Mass of Constraint: 28.125 Kilogram --> 28.125 Kilogram 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

KE = (33*m_c*V_traverse^2)/280 --> (33*28.125*4.756707^2)/280

Evaluating ... ...

KE = 74.9999962132048

STEP 3: Convert Result to Output's Unit

74.9999962132048 Joule --> No Conversion Required

FINAL ANSWER

74.9999962132048 ≈ 75 Joule <-- Kinetic Energy

(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 Kinetic Energy of Constraint for Transverse Vibrations Formula

LaTeX Go

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

What is Frequency?

Frequency is a measure of how often a repeating event occurs. In the context of waves, frequency is the number of cycles or oscillations that occur per unit of time. It is typically measured in hertz (Hz), where 1 Hz is equal to one cycle per second. A higher frequency means that the wave oscillates more rapidly.

How to Calculate Total Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations calculator uses Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280 to calculate the Kinetic Energy, Total Kinetic Energy of Constraint for Transverse Vibrations formula is defined as a measure of the energy associated with the transverse vibrations of a constrained system, taking into account the inertia of the constraint, and is used to analyze the effects of longitudinal and transverse vibrations in various mechanical systems. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Constraint for Transverse Vibrations using this online calculator? To use this online calculator for Total Kinetic Energy of Constraint for Transverse Vibrations, enter Total Mass of Constraint (m_c) & Transverse Velocity of Free End (V_traverse) and hit the calculate button. Here is how the Total Kinetic Energy of Constraint for Transverse Vibrations calculation can be explained with given input values -> 74.99978 = (33*28.125*4.756707^2)/280.

FAQ

What is Total Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations formula is defined as a measure of the energy associated with the transverse vibrations of a constrained system, taking into account the inertia of the constraint, and is used to analyze the effects of longitudinal and transverse vibrations in various mechanical systems and is represented as KE = (33*m_c*V_traverse^2)/280 or Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280. 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 & 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 Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations formula is defined as a measure of the energy associated with the transverse vibrations of a constrained system, taking into account the inertia of the constraint, and is used to analyze the effects of longitudinal and transverse vibrations in various mechanical systems is calculated using Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280. To calculate Total Kinetic Energy of Constraint for Transverse Vibrations, you need Total Mass of Constraint (m_c) & Transverse Velocity of Free End (V_traverse). With our tool, you need to enter the respective value for Total Mass of Constraint & 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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