## Total Kinetic Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Energy = Translational Energy+Rotational Energy+Vibrational Energy
Etotal = ET+Erot+Evf
This formula uses 4 Variables
Variables Used
Total Energy - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.
Translational Energy - (Measured in Joule) - The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter.
Rotational Energy - (Measured in Joule) - Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.
Vibrational Energy - (Measured in Joule) - Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.
STEP 1: Convert Input(s) to Base Unit
Translational Energy: 600 Joule --> 600 Joule No Conversion Required
Rotational Energy: 150 Joule --> 150 Joule No Conversion Required
Vibrational Energy: 100 Joule --> 100 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Etotal = ET+Erot+Evf --> 600+150+100
Evaluating ... ...
Etotal = 850
STEP 3: Convert Result to Output's Unit
850 Joule --> No Conversion Required
850 Joule <-- Total Energy
(Calculation completed in 00.004 seconds)
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## Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

## <Equipartition Principle and Heat Capacity Calculators

Rotational Energy of Non-Linear Molecule
​ Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*Angular Velocity along Y-axis^2)+(0.5*Moment of Inertia along Z-axis*Angular Velocity along Z-axis^2)+(0.5*Moment of Inertia along X-axis*Angular Velocity along X-axis^2)
Translational Energy
​ Go Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))
Rotational Energy of Linear Molecule
​ Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*(Angular Velocity along Y-axis^2))+(0.5*Moment of Inertia along Z-axis*(Angular Velocity along Z-axis^2))
Vibrational Energy Modeled as Harmonic Oscillator
​ Go Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))

## <Important Formulae on Equipartition Principle and Heat Capacity Calculators

Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity
​ Go Thermal Energy given Atomicity = ((6*Atomicity)-6)*(0.5*[BoltZ]*Temperature)
Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity
​ Go Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)
Internal Molar Energy of Non-Linear Molecule given Atomicity
​ Go Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)
Internal Molar Energy of Linear Molecule given Atomicity
​ Go Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)

## Total Kinetic Energy Formula

Total Energy = Translational Energy+Rotational Energy+Vibrational Energy
Etotal = ET+Erot+Evf

## What is the statement of Equipartition Theorem?

The original concept of equipartition was that the total kinetic energy of a system is shared equally among all of its independent parts, on the average, once the system has reached thermal equilibrium. Equipartition also makes quantitative predictions for these energies. The key point is that the kinetic energy is quadratic in the velocity. The equipartition theorem shows that in thermal equilibrium, any degree of freedom (such as a component of the position or velocity of a particle) which appears only quadratically in the energy has an average energy of ​1⁄2kBT and therefore contributes ​1⁄2kB to the system's heat capacity.

## How to Calculate Total Kinetic Energy?

Total Kinetic Energy calculator uses Total Energy = Translational Energy+Rotational Energy+Vibrational Energy to calculate the Total Energy, The Total Kinetic Energy formula is defined as the sum of translational, rotational and vibrational kinetic energy. Total Energy is denoted by Etotal symbol.

How to calculate Total Kinetic Energy using this online calculator? To use this online calculator for Total Kinetic Energy, enter Translational Energy (ET), Rotational Energy (Erot) & Vibrational Energy (Evf) and hit the calculate button. Here is how the Total Kinetic Energy calculation can be explained with given input values -> 850 = 600+150+100.

### FAQ

What is Total Kinetic Energy?
The Total Kinetic Energy formula is defined as the sum of translational, rotational and vibrational kinetic energy and is represented as Etotal = ET+Erot+Evf or Total Energy = Translational Energy+Rotational Energy+Vibrational Energy. The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter, Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules & Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.
How to calculate Total Kinetic Energy?
The Total Kinetic Energy formula is defined as the sum of translational, rotational and vibrational kinetic energy is calculated using Total Energy = Translational Energy+Rotational Energy+Vibrational Energy. To calculate Total Kinetic Energy, you need Translational Energy (ET), Rotational Energy (Erot) & Vibrational Energy (Evf). With our tool, you need to enter the respective value for Translational Energy, Rotational Energy & Vibrational Energy 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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