Velocity Increment of Rocket Calculator

✖Jet Velocity is the effective exhaust velocity.ⓘ Jet Velocity [V_e]			+10% -10%
✖Initial Mass of Rocket is the initial mass of the rocket,it is the sum of mass of payload, structure and propellant.ⓘ Initial Mass of Rocket [m_i]			+10% -10%
✖Final Mass of Rocket is the final mass of the rocket ,it is the mass of payload and structure of rocket.ⓘ Final Mass of Rocket [m_final]			+10% -10%

✖Velocity Increment Of Rocket is the velocity provided by the rocket.ⓘ Velocity Increment of Rocket [ΔV]

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Velocity Increment of Rocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Increment of Rocket = Jet Velocity*ln(Initial Mass of Rocket/Final Mass of Rocket)
ΔV = V_e*ln(m_i/m_final)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Velocity Increment of Rocket - (Measured in Meter per Second) - Velocity Increment Of Rocket is the velocity provided by the rocket.
Jet Velocity - (Measured in Meter per Second) - Jet Velocity is the effective exhaust velocity.
Initial Mass of Rocket - (Measured in Kilogram) - Initial Mass of Rocket is the initial mass of the rocket,it is the sum of mass of payload, structure and propellant.
Final Mass of Rocket - (Measured in Kilogram) - Final Mass of Rocket is the final mass of the rocket ,it is the mass of payload and structure of rocket.

STEP 1: Convert Input(s) to Base Unit

Jet Velocity: 118.644 Meter per Second --> 118.644 Meter per Second No Conversion Required
Initial Mass of Rocket: 1500 Kilogram --> 1500 Kilogram No Conversion Required
Final Mass of Rocket: 750 Kilogram --> 750 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔV = V_e*ln(m_i/m_final) --> 118.644*ln(1500/750)

Evaluating ... ...

ΔV = 82.2377540903542

STEP 3: Convert Result to Output's Unit

82.2377540903542 Meter per Second --> No Conversion Required

FINAL ANSWER

82.2377540903542 ≈ 82.23775 Meter per Second <-- Velocity Increment of Rocket

(Calculation completed in 00.004 seconds)

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Created by Guddu Kumar

MVJ college of engineering (MVJCE ), Bengaluru

Guddu Kumar has created this Calculator and 2 more calculators!

Verified by Harsh Raj

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

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< Theory Of Rockets Calculators

Rocket Exhaust Gas Velocity

LaTeX 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

LaTeX 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)))

Velocity Increment of Rocket

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

Structural Mass Fraction

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

Velocity Increment of Rocket Formula

LaTeX Go

Velocity Increment of Rocket = Jet Velocity*ln(Initial Mass of Rocket/Final Mass of Rocket)
ΔV = V_e*ln(m_i/m_final)

How can we apply this formula for multistage rocket?

This formula is used to find velocity increment of single stage rocket.but we add all the velocity increment of individual stage in multistage rocket we get total velocity increment of multistage rocket.

How to Calculate Velocity Increment of Rocket?

Velocity Increment of Rocket calculator uses Velocity Increment of Rocket = Jet Velocity*ln(Initial Mass of Rocket/Final Mass of Rocket) to calculate the Velocity Increment of Rocket, Velocity Increment of Rocket is a measure of the increase in velocity of a rocket as a result of the exhaust velocity of the propellant gases expelled out of the back of the rocket, calculated by the product of the jet velocity and the natural logarithm of the ratio of initial to final mass of the rocket. Velocity Increment of Rocket is denoted by ΔV symbol.

How to calculate Velocity Increment of Rocket using this online calculator? To use this online calculator for Velocity Increment of Rocket, enter Jet Velocity (V_e), Initial Mass of Rocket (m_i) & Final Mass of Rocket (m_final) and hit the calculate button. Here is how the Velocity Increment of Rocket calculation can be explained with given input values -> 82.23775 = 118.644*ln(1500/750).

FAQ

What is Velocity Increment of Rocket?

Velocity Increment of Rocket is a measure of the increase in velocity of a rocket as a result of the exhaust velocity of the propellant gases expelled out of the back of the rocket, calculated by the product of the jet velocity and the natural logarithm of the ratio of initial to final mass of the rocket and is represented as ΔV = V_e*ln(m_i/m_final) or Velocity Increment of Rocket = Jet Velocity*ln(Initial Mass of Rocket/Final Mass of Rocket). Jet Velocity is the effective exhaust velocity, Initial Mass of Rocket is the initial mass of the rocket,it is the sum of mass of payload, structure and propellant & Final Mass of Rocket is the final mass of the rocket ,it is the mass of payload and structure of rocket.

How to calculate Velocity Increment of Rocket?

Velocity Increment of Rocket is a measure of the increase in velocity of a rocket as a result of the exhaust velocity of the propellant gases expelled out of the back of the rocket, calculated by the product of the jet velocity and the natural logarithm of the ratio of initial to final mass of the rocket is calculated using Velocity Increment of Rocket = Jet Velocity*ln(Initial Mass of Rocket/Final Mass of Rocket). To calculate Velocity Increment of Rocket, you need Jet Velocity (V_e), Initial Mass of Rocket (m_i) & Final Mass of Rocket (m_final). With our tool, you need to enter the respective value for Jet Velocity, Initial Mass of Rocket & Final Mass of Rocket 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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