Translational Energy Calculator

✖The Momentum along X-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.ⓘ Momentum along X-axis [p_x]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [Mass_{flight path}]			+10% -10%
✖The Momentum along Y-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.ⓘ Momentum along Y-axis [p_y]			+10% -10%
✖The Momentum along Z-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.ⓘ Momentum along Z-axis [p_z]			+10% -10%

✖The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter.ⓘ Translational Energy [E_T]

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Translational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))
E_T = ((p_x^2)/(2*Mass_{flight path}))+((p_y^2)/(2*Mass_{flight path}))+((p_z^2)/(2*Mass_{flight path}))
This formula uses 5 Variables

Variables Used

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.
Momentum along X-axis - (Measured in Kilogram Meter per Second) - The Momentum along X-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Momentum along Y-axis - (Measured in Kilogram Meter per Second) - The Momentum along Y-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.
Momentum along Z-axis - (Measured in Kilogram Meter per Second) - The Momentum along Z-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.

STEP 1: Convert Input(s) to Base Unit

Momentum along X-axis: 105 Kilogram Meter per Second --> 105 Kilogram Meter per Second No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Momentum along Y-axis: 110 Kilogram Meter per Second --> 110 Kilogram Meter per Second No Conversion Required
Momentum along Z-axis: 115 Kilogram Meter per Second --> 115 Kilogram Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_T = ((p_x^2)/(2*Mass_{flight path}))+((p_y^2)/(2*Mass_{flight path}))+((p_z^2)/(2*Mass_{flight path})) --> ((105^2)/(2*35.45))+((110^2)/(2*35.45))+((115^2)/(2*35.45))

Evaluating ... ...

E_T = 512.693935119887

STEP 3: Convert Result to Output's Unit

512.693935119887 Joule --> No Conversion Required

FINAL ANSWER

512.693935119887 ≈ 512.6939 Joule <-- Translational Energy

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Translational Energy

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Akshada Kulkarni

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Thermal Energy given Atomicity = ((6*Atomicity)-6)*(0.5*[BoltZ]*Temperature)

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

LaTeX Go Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)

Internal Molar Energy of Non-Linear Molecule given Atomicity

LaTeX Go Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)

Internal Molar Energy of Linear Molecule given Atomicity

LaTeX Go Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)

Translational Energy Formula

LaTeX Go

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 Translational Energy?

Translational Energy calculator uses Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass)) to calculate the Translational Energy, The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter. Translational Energy is denoted by E_T symbol.

How to calculate Translational Energy using this online calculator? To use this online calculator for Translational Energy, enter Momentum along X-axis (p_x), Mass (Mass_{flight path}), Momentum along Y-axis (p_y) & Momentum along Z-axis (p_z) and hit the calculate button. Here is how the Translational Energy calculation can be explained with given input values -> 512.6939 = ((105^2)/(2*35.45))+((110^2)/(2*35.45))+((115^2)/(2*35.45)).

FAQ

What is Translational Energy?

The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter and is represented as E_T = ((p_x^2)/(2*Mass_{flight path}))+((p_y^2)/(2*Mass_{flight path}))+((p_z^2)/(2*Mass_{flight path})) or Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass)). The Momentum along X-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, The Momentum along Y-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction & The Momentum along Z-axis , translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.

How to calculate Translational Energy?

The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter is calculated using Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass)). To calculate Translational Energy, you need Momentum along X-axis (p_x), Mass (Mass_{flight path}), Momentum along Y-axis (p_y) & Momentum along Z-axis (p_z). With our tool, you need to enter the respective value for Momentum along X-axis, Mass, Momentum along Y-axis & Momentum along Z-axis 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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