The rocket equation is an equation used to calculate the velocity of a rocket. It is also known as Tsiolkovsky’s Rocket Equation after its creator, Russian scientist Konstantin Tsiolkovsky. This equation has many applications for calculating how fast rockets travel and how long it takes them to reach their destination. It can also be used in determining which type of fuel is most efficient when making transport from one point to another with limited resources available at hand or on board a ship!

What is a rocket?

A rocket is a vehicle that uses a rocket engine to propel itself, usually through space. The term rocket identifies the engines used, but more broadly describes any vehicle that is propelled by some kind of reaction (such as chemical or nuclear) rather than gravity.

Rocket engines consist of fuel and an oxidizer—they have no moving parts and use pressure produced by combustion to create thrust. They can be powered with solid fuels or liquid fuels. Liquid-propellant rockets generally use a propellant consisting of liquid oxygen or liquid hydrogen as their oxidizer combined with various hydrocarbons as their fuel source; however, other combinations are possible, such as ammonium perchlorate combined with hydrazine for rocket engines, nitric acid combined with aluminum powder for rocket propulsion, etc. Solid-propellant rockets use powdered metals (such as aluminum) mixed together to form an insoluble substance that burns when it comes into contact with oxygen.

Multistage rocket

Rockets are used for exploring space, shooting things into space, and launching other vehicles into orbit. There are many different types of rockets. Some of them have wings so they can fly in the air as well as go into orbit. Some are shaped like airplanes that fly up to high altitudes where they can reach outer space without falling all the way down to Earth again! You may have heard about how difficult it is for a rocket ship or plane to reach outer space because there are strong air currents and winds at those altitudes which make it difficult for them to stay steady on their course. But with some practice from an experienced pilot like Neil Armstrong who flew Apollo 11 mission aboard his Gemini 8 spacecraft through low Earth orbit before landing back safely onto dry land again (without crashing), anyone can learn how easy it is to go out there flying through outer space with our trusted rockets!

Tsiolkovsky rocket equation

The rocket equation is an equation used to determine the speed of a rocket. It was developed by Russian scientist Konstantin Tsiolkovsky and first published in his 1924 work “The Exploration of Cosmic Space by Means of Reaction Propulsion Devices.”

The formula takes into account the relation between exhaust velocity, mass ratio, specific impulse, initial and final mass, and initial and final velocity.

How to find the change in velocity?

In order to use the rocket equation, you’ll need five pieces of information:

  • The acceleration you experience during launch. This is usually measured in “g’s,” or times your weight (1g = 9.8 m/s^2).
  • How much velocity change happened over that time period. In other words, how fast did our rocket go? If a rocket travels at 7 km/s for 5 seconds after liftoff and then slows down again to 4 km/s after 10 seconds, it has changed its velocity by 3 km/s in total—but it will have gone very fast in those first few seconds!
  • The initial speed of our rocket before liftoff. If our rocket starts from rest, this value would be 0km/h; if instead, we’re launching straight up into space from some earthbound location on Earth where there’s no air resistance so nothing slows us down until we reach orbital speed (about 7km/s), this value would be 7km/h.
  • The final speed with which our craft reaches orbit or leaves Earth’s atmosphere (usually very high). This should also be measured in kilometers per hour because everything else is measured this way! For example: going from ground level all the way up to 940000 meters—this number needs to go somewhere into our equation:
v_{final} = \frac {940000m} {3600s} = 2126 \frac {m}{s}

Rocket equation calculator

The Tsiolkovsky rocket equation is a relationship between the change in velocity of a rocket and the total mass of the rocket and its payload. This mathematical equation was first described by Russian scientist Konstantin Tsiolkovsky in 1903, although he did not use this specific form to relate acceleration to propellant weight. The equation has since been modified by many different scientists and engineers for various purposes, including when designing rockets or space travel.

In order to calculate the change of velocity with this calculator, you need to know three values beforehand. Those values are:

  • The effective exhaust velocity – the velocity of the stream coming out of the exhaust, while taking into account all the factors that may reduce its final value (friction, non-axially directed flow, and pressure differences between the inside of the rocket and its surroundings)
  • Initial mass – mass at the beginning
  • Final mass – mass at the end

The formula the calculator will use to calculate the change of velocity is:

\Delta v = ln \times (\frac {m_0}{m_1}) \times v_e

where ln is the natural logarithm function, m0 and m1 are the initial and final masses, respectively, and ve is the effective exhaust velocity.


How do you calculate delta-V for a rocket?

Delta-v is the change in velocity. To calculate it, all you need to do is subtract the initial velocity from the final velocity.

Who invented the Rocket Equation?

The rocket equation was invented by the Russian scientist Konstantin Tsiolkovsky.

Why is the Tsiolkovsky rocket equation called an ideal rocket equation?

Because it doesn’t take into account other important factors such as gravity or air resistance.