HCF of two numbers

Tsiolkovsky Rocket Equation Calculator

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✖Specific Impulse is be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors.ⓘ Specific Impulse [I_sp]			+10% -10%
✖Wet Mass is the mass of a rocket including its contents and propellant.ⓘ Wet Mass [M_wet]			+10% -10%
✖Dry mass is the mass of the rocket at full ascent.ⓘ Dry mass [M_dry]			+10% -10%

✖Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity.ⓘ Tsiolkovsky Rocket Equation [ΔV]

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Tsiolkovsky Rocket Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)
ΔV = I_sp*[g]*ln(M_wet/M_dry)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Change in Rocket Velocity - (Measured in Meter per Second) - Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity.
Specific Impulse - (Measured in Second) - Specific Impulse is be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors.
Wet Mass - (Measured in Kilogram) - Wet Mass is the mass of a rocket including its contents and propellant.
Dry mass - (Measured in Kilogram) - Dry mass is the mass of the rocket at full ascent.

STEP 1: Convert Input(s) to Base Unit

Specific Impulse: 100 Second --> 100 Second No Conversion Required
Wet Mass: 30000 Kilogram --> 30000 Kilogram No Conversion Required
Dry mass: 25000 Kilogram --> 25000 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔV = I_sp*[g]*ln(M_wet/M_dry) --> 100*[g]*ln(30000/25000)

Evaluating ... ...

ΔV = 178.796369493343

STEP 3: Convert Result to Output's Unit

178.796369493343 Meter per Second -->0.178796369493343 Kilometer per Second (Check conversion here)

FINAL ANSWER

0.178796369493343 ≈ 0.178796 Kilometer per Second <-- Change in Rocket Velocity

(Calculation completed in 00.006 seconds)

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Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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< Fundamental Parameters Calculators

Tsiolkovsky Rocket Equation

LaTeX Go Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)

Parameter of Orbit

LaTeX Go Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter

Rocket Mass Ratio

LaTeX Go Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)

Standard Gravitational Parameter

LaTeX Go Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)

Tsiolkovsky Rocket Equation Formula

LaTeX Go

Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)
ΔV = I_sp*[g]*ln(M_wet/M_dry)

What is the rocket ?

A rocket is a vehicle that is propelled by the expulsion of exhaust gases generated by the combustion of propellant inside the rocket engine. Rockets are used for a wide range of purposes, including space exploration, satellite deployment, scientific research, military applications, and commercial transportation.

How to Calculate Tsiolkovsky Rocket Equation?

Tsiolkovsky Rocket Equation calculator uses Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass) to calculate the Change in Rocket Velocity, The Tsiolkovsky Rocket Equation,also known as the ideal rocket equation, is a fundamental equation in astronautics that governs the motion of vehicles propelled by rocket engines, it provides a mathematical relationship between the change in velocity of a rocket, the effective exhaust velocity of its propellant, and the ratio of its initial and final masses. Change in Rocket Velocity is denoted by ΔV symbol.

How to calculate Tsiolkovsky Rocket Equation using this online calculator? To use this online calculator for Tsiolkovsky Rocket Equation, enter Specific Impulse (I_sp), Wet Mass (M_wet) & Dry mass (M_dry) and hit the calculate button. Here is how the Tsiolkovsky Rocket Equation calculation can be explained with given input values -> 1.8E-5 = 100*[g]*ln(30000/25000).

FAQ

What is Tsiolkovsky Rocket Equation?

The Tsiolkovsky Rocket Equation,also known as the ideal rocket equation, is a fundamental equation in astronautics that governs the motion of vehicles propelled by rocket engines, it provides a mathematical relationship between the change in velocity of a rocket, the effective exhaust velocity of its propellant, and the ratio of its initial and final masses and is represented as ΔV = I_sp*[g]*ln(M_wet/M_dry) or Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass). Specific Impulse is be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors, Wet Mass is the mass of a rocket including its contents and propellant & Dry mass is the mass of the rocket at full ascent.

How to calculate Tsiolkovsky Rocket Equation?

The Tsiolkovsky Rocket Equation,also known as the ideal rocket equation, is a fundamental equation in astronautics that governs the motion of vehicles propelled by rocket engines, it provides a mathematical relationship between the change in velocity of a rocket, the effective exhaust velocity of its propellant, and the ratio of its initial and final masses is calculated using Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass). To calculate Tsiolkovsky Rocket Equation, you need Specific Impulse (I_sp), Wet Mass (M_wet) & Dry mass (M_dry). With our tool, you need to enter the respective value for Specific Impulse, Wet Mass & Dry 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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