Velocity Increment of Rocket Calculator

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖Jet Velocity of Rocket is the exhaust velocity of rocket.ⓘ Jet Velocity of Rocket [V_j]			+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_f]			+10% -10%

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

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Formula

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Velocity Increment of Rocket

Formula

`"ΔV" = "V"_{"j"}*ln("m"_{"i"}/"m"_{"f"})`

Example

`"2772.589m/s"="4000m/s"*ln("1500kg"/"750kg")`

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Velocity Increment of Rocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Increment of Rocket = Jet Velocity of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket)
ΔV = V_j*ln(m_i/m_f)
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 of Rocket - (Measured in Meter per Second) - Jet Velocity of Rocket is the exhaust velocity of rocket.
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 of Rocket: 4000 Meter per Second --> 4000 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_j*ln(m_i/m_f) --> 4000*ln(1500/750)

Evaluating ... ...

ΔV = 2772.58872223978

STEP 3: Convert Result to Output's Unit

2772.58872223978 Meter per Second --> No Conversion Required

FINAL ANSWER

2772.58872223978 ≈ 2772.589 Meter per Second <-- Velocity Increment of Rocket

(Calculation completed in 00.004 seconds)

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Credits

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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< 3 Theory Of Rockets Calculators

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)))

Velocity Increment of Rocket

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

Propellent Mass Fraction

Go Propellant Mass Fraction = Propellant Mass/Initial Mass

Velocity Increment of Rocket Formula

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

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 of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket) to calculate the Velocity Increment of Rocket, Velocity Increment of Rocket is the velocity which rocket moves upward. 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 of Rocket (V_j), Initial Mass of Rocket (m_i) & Final Mass of Rocket (m_f) and hit the calculate button. Here is how the Velocity Increment of Rocket calculation can be explained with given input values -> 2772.589 = 4000*ln(1500/750).

FAQ

What is Velocity Increment of Rocket?

Velocity Increment of Rocket is the velocity which rocket moves upward and is represented as ΔV = V_j*ln(m_i/m_f) or Velocity Increment of Rocket = Jet Velocity of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket). Jet Velocity of Rocket is the exhaust velocity of rocket, 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 the velocity which rocket moves upward is calculated using Velocity Increment of Rocket = Jet Velocity of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket). To calculate Velocity Increment of Rocket, you need Jet Velocity of Rocket (V_j), Initial Mass of Rocket (m_i) & Final Mass of Rocket (m_f). With our tool, you need to enter the respective value for Jet Velocity of Rocket, 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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