Total Kinetic Energy of Constraint in Longitudinal Vibration 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%
✖Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected by the inertia of constraints in longitudinal and transverse vibrations.ⓘ Longitudinal Velocity of Free End [V_longitudinal]			+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 in Longitudinal Vibration [KE]

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Total Kinetic Energy of Constraint in Longitudinal Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6
KE = (m_c*V_longitudinal^2)/6
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.
Longitudinal Velocity of Free End - (Measured in Meter per Second) - Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected 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
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

KE = (m_c*V_longitudinal^2)/6 --> (28.125*4^2)/6

Evaluating ... ...

KE = 75

STEP 3: Convert Result to Output's Unit

75 Joule --> No Conversion Required

FINAL ANSWER

75 Joule <-- Kinetic Energy

(Calculation completed in 00.045 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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< Longitudinal Vibration Calculators

Velocity of Small Element for Longitudinal Vibration

LaTeX Go Velocity of Small Element = (Distance between Small Element and Fixed End*Longitudinal Velocity of Free End)/Length of Constraint

Longitudinal Velocity of Free End for Longitudinal Vibration

LaTeX Go Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint)

Total Mass of Constraint for Longitudinal Vibration

LaTeX Go Total Mass of Constraint = (6*Kinetic Energy)/(Longitudinal Velocity of Free End^2)

Total Kinetic Energy of Constraint in Longitudinal Vibration

LaTeX Go Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6

Total Kinetic Energy of Constraint in Longitudinal Vibration Formula

LaTeX Go

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

What is Kinetic Energy?

Kinetic energy is the energy possessed by an object due to its motion. It depends on the object's mass and its velocity. The faster an object moves or the heavier it is, the more kinetic energy it has. For example, a car moving at high speed has more kinetic energy than a car moving slowly, and a heavy truck has more kinetic energy than a light bicycle moving at the same speed.

How to Calculate Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration calculator uses Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6 to calculate the Kinetic Energy, Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy associated with the motion of a constraint in a longitudinal vibration, which is influenced by the inertia of the constraint and its velocity. It is a crucial concept in understanding the dynamics of longitudinal vibrations and their effects on mechanical systems. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration using this online calculator? To use this online calculator for Total Kinetic Energy of Constraint in Longitudinal Vibration, enter Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal) and hit the calculate button. Here is how the Total Kinetic Energy of Constraint in Longitudinal Vibration calculation can be explained with given input values -> 74.66667 = (28.125*4^2)/6.

FAQ

What is Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy associated with the motion of a constraint in a longitudinal vibration, which is influenced by the inertia of the constraint and its velocity. It is a crucial concept in understanding the dynamics of longitudinal vibrations and their effects on mechanical systems and is represented as KE = (m_c*V_longitudinal^2)/6 or Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6. 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 & Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected by the inertia of constraints in longitudinal and transverse vibrations.

How to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy associated with the motion of a constraint in a longitudinal vibration, which is influenced by the inertia of the constraint and its velocity. It is a crucial concept in understanding the dynamics of longitudinal vibrations and their effects on mechanical systems is calculated using Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6. To calculate Total Kinetic Energy of Constraint in Longitudinal Vibration, you need Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal). With our tool, you need to enter the respective value for Total Mass of Constraint & 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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