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Translational Energy Formula

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The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter. Check FAQs

E T = (\frac{{p x}^{2}}{2 \cdot Mass flight path}) + (\frac{{p y}^{2}}{2 \cdot Mass flight path}) + (\frac{{p z}^{2}}{2 \cdot Mass flight path})

E_T - Translational Energy?p_x - Momentum along X-axis?Mass_{flight path} - Mass?p_y - Momentum along Y-axis?p_z - Momentum along Z-axis?

Translational Energy Example

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Here is how the Translational Energy equation looks like with Values.

Here is how the Translational Energy equation looks like with Units.

Here is how the Translational Energy equation looks like.

512.6939 = (\frac{105^{2}}{2 \cdot 35.45}) + (\frac{110^{2}}{2 \cdot 35.45}) + (\frac{115^{2}}{2 \cdot 35.45})

512.6939J = (\frac{{105kg*m/s}^{2}}{2 \cdot 35.45kg}) + (\frac{{110kg*m/s}^{2}}{2 \cdot 35.45kg}) + (\frac{{115kg*m/s}^{2}}{2 \cdot 35.45kg})

512.6939 = (\frac{105^{2}}{2 \cdot 35.45}) + (\frac{110^{2}}{2 \cdot 35.45}) + (\frac{115^{2}}{2 \cdot 35.45})

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Translational Energy Solution

Follow our step by step solution on how to calculate Translational Energy?

FIRST Step Consider the formula

E T = (\frac{{p x}^{2}}{2 \cdot Mass flight path}) + (\frac{{p y}^{2}}{2 \cdot Mass flight path}) + (\frac{{p z}^{2}}{2 \cdot Mass flight path})

Next Step Substitute values of Variables

∴

E T = (\frac{{105kg*m/s}^{2}}{2 \cdot 35.45kg}) + (\frac{{110kg*m/s}^{2}}{2 \cdot 35.45kg}) + (\frac{{115kg*m/s}^{2}}{2 \cdot 35.45kg})

Next Step Prepare to Evaluate

∴

E T = (\frac{105^{2}}{2 \cdot 35.45}) + (\frac{110^{2}}{2 \cdot 35.45}) + (\frac{115^{2}}{2 \cdot 35.45})

Next Step Evaluate

∴

E T = 512.693935119887J

LAST Step Rounding Answer

∴

E T = 512.6939J

Translational Energy Formula Elements

Variables

Translational Energy

The Translational Energy relates to the displacement of molecules in a space as a function of the normal thermal motions of matter.

Symbol: E_T

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Translational Energy

Momentum along X-axis

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.

Symbol: p_x

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Formulas to find Momentum along X-axis

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: Mass_{flight path}

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Momentum along Y-axis

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.

Symbol: p_y

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Formulas to find Momentum along Y-axis

Momentum along Z-axis

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.

Symbol: p_z

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Formulas to find Momentum along Z-axis

Other formulas in Equipartition Principle and Heat Capacity category

Go Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

Q atomicity = ((6 \cdot N) - 6) \cdot (0.5 \cdot [BoltZ] \cdot T)

Go Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

Q atomicity = ((6 \cdot N) - 5) \cdot (0.5 \cdot [BoltZ] \cdot T)

Go Internal Molar Energy of Linear Molecule given Atomicity

U molar = ((6 \cdot N) - 5) \cdot (0.5 \cdot [R] \cdot T)

Go Internal Molar Energy of Non-Linear Molecule given Atomicity

U molar = ((6 \cdot N) - 6) \cdot (0.5 \cdot [R] \cdot T)

How to Evaluate Translational Energy?

Translational Energy evaluator 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 evaluate 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 evaluate Translational Energy using this online evaluator? To use this online evaluator 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.

FAQs on Translational Energy

What is the formula to find Translational Energy?

The formula of Translational Energy is expressed as Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass)). Here is an example- 512.6939 = ((105^2)/(2*35.45))+((110^2)/(2*35.45))+((115^2)/(2*35.45)).

How to calculate Translational Energy?

With Momentum along X-axis (p_x), Mass (Mass_{flight path}), Momentum along Y-axis (p_y) & Momentum along Z-axis (p_z) we can find Translational Energy using the formula - Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass)).

Can the Translational Energy be negative?

Yes, the Translational Energy, measured in Energy can be negative.

Which unit is used to measure Translational Energy?

Translational Energy is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Translational Energy can be measured.

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Translational Energy Formula

Translational Energy Example

Translational Energy Solution

Translational Energy Formula Elements

Other formulas in Equipartition Principle and Heat Capacity category

How to Evaluate Translational Energy?

FAQs on Translational Energy

Variable Name