Propellent Mass Fraction Calculator

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖Propellant Mass refers to the total mass of propellant used in a propulsion system.ⓘ Propellant Mass [m_p]			+10% -10%
✖Initial Mass often refers to the mass of a spacecraft or rocket at the start of a mission, including all components such as payload, structure, propellant, and any other necessary equipment.ⓘ Initial Mass [m₀]			+10% -10%

✖Propellant Mass Fraction refers to the ratio of the mass of the propellant (fuel and oxidizer) to the total initial mass of the vehicle.ⓘ Propellent Mass Fraction [ζ]

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Formula

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Propellent Mass Fraction

Formula

`"ζ" = "m"_{"p"}/"m"_{"0"}`

Example

`"0.866667"="13kg"/"15kg"`

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Propellent Mass Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propellant Mass Fraction = Propellant Mass/Initial Mass
ζ = m_p/m₀
This formula uses 3 Variables

Variables Used

Propellant Mass Fraction - Propellant Mass Fraction refers to the ratio of the mass of the propellant (fuel and oxidizer) to the total initial mass of the vehicle.
Propellant Mass - (Measured in Kilogram) - Propellant Mass refers to the total mass of propellant used in a propulsion system.
Initial Mass - (Measured in Kilogram) - Initial Mass often refers to the mass of a spacecraft or rocket at the start of a mission, including all components such as payload, structure, propellant, and any other necessary equipment.

STEP 1: Convert Input(s) to Base Unit

Propellant Mass: 13 Kilogram --> 13 Kilogram No Conversion Required
Initial Mass: 15 Kilogram --> 15 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = m_p/m₀ --> 13/15

Evaluating ... ...

ζ = 0.866666666666667

STEP 3: Convert Result to Output's Unit

0.866666666666667 --> No Conversion Required

FINAL ANSWER

0.866666666666667 ≈ 0.866667 <-- Propellant Mass Fraction

(Calculation completed in 00.004 seconds)

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Created by LOKESH

Sri Ramakrishna Engineering College (SREC), COIMBATORE

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 9 Theory Of Rockets Calculators

Rocket Exhaust Gas Velocity

Go Jet Velocity = sqrt(((2*Specific Heat Ratio)/(Specific Heat Ratio-1))*[R]*Temperature at Chamber*(1-(Nozzle Exit Pressure/Pressure at Chamber)^((Specific Heat Ratio-1)/Specific Heat Ratio)))

Total Velocity Required to Place Satellite in Orbit

Go Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite)))

Effective Exhaust Velocity of Rocket

Go Effective Exhaust Velocity = Jet Velocity+(Nozzle Exit Pressure-Atmospheric Pressure)*Exit Area/Propellant Mass Flow Rate

Throat Velocity of Nozzle

Go Throat Velocity = sqrt((2*Specific Heat Ratio)/(Specific Heat Ratio+1)*[R]*Temperature at Chamber)

Velocity Increment of Rocket

Go Velocity Increment of Rocket = Jet Velocity of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket)

Structural Mass Fraction

Go Structural Mass Fraction = Structural Mass/(Propellant Mass+Structural Mass)

Payload Mass Fraction

Go Payload Mass Fraction = Payload Mass/(Propellant Mass+Structural Mass)

Propellent Mass Fraction

Go Propellant Mass Fraction = Propellant Mass/Initial Mass

Mass Ratio of Rocket

Go Mass Ratio = Final Mass/Initial Mass

Propellent Mass Fraction Formula

Propellant Mass Fraction = Propellant Mass/Initial Mass
ζ = m_p/m₀

What is Propellent Mass Fraction ?

The propellant mass fraction (PMF) is a crucial parameter in aerospace engineering, particularly in the design and analysis of rockets and spacecraft. It refers to the ratio of the mass of the propellant (fuel and oxidizer) to the total initial mass of the vehicle.

How to Calculate Propellent Mass Fraction?

Propellent Mass Fraction calculator uses Propellant Mass Fraction = Propellant Mass/Initial Mass to calculate the Propellant Mass Fraction, The Propellent Mass Fractionformula quantifies what proportion of the vehicle's mass is dedicated to propellant. This ratio is crucial for understanding the performance characteristics of rockets and spacecraft. Propellant Mass Fraction is denoted by ζ symbol.

How to calculate Propellent Mass Fraction using this online calculator? To use this online calculator for Propellent Mass Fraction, enter Propellant Mass (m_p) & Initial Mass (m₀) and hit the calculate button. Here is how the Propellent Mass Fraction calculation can be explained with given input values -> 0.866667 = 13/15.

FAQ

What is Propellent Mass Fraction?

The Propellent Mass Fractionformula quantifies what proportion of the vehicle's mass is dedicated to propellant. This ratio is crucial for understanding the performance characteristics of rockets and spacecraft and is represented as ζ = m_p/m₀ or Propellant Mass Fraction = Propellant Mass/Initial Mass. Propellant Mass refers to the total mass of propellant used in a propulsion system & Initial Mass often refers to the mass of a spacecraft or rocket at the start of a mission, including all components such as payload, structure, propellant, and any other necessary equipment.

How to calculate Propellent Mass Fraction?

The Propellent Mass Fractionformula quantifies what proportion of the vehicle's mass is dedicated to propellant. This ratio is crucial for understanding the performance characteristics of rockets and spacecraft is calculated using Propellant Mass Fraction = Propellant Mass/Initial Mass. To calculate Propellent Mass Fraction, you need Propellant Mass (m_p) & Initial Mass (m₀). With our tool, you need to enter the respective value for Propellant Mass & Initial Mass 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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