Does Rocket Equation Change with Different Exhaust Velocities?

[vincentryan]

Hi
Can anyone help to write rocket equation with strap on booster.
The exhaust velocity of the booster rocket and the core rocket is same? and
The exhaust velocity of the booster rocket and the core rocket is different?

 

[aerospaceut10]

If you're just calculating the thrust, for the most part, it can be approximated to adding the thrust generated from the main rocket and the booster rocket together. And...the exhaust velocity depends on the rocket itself, such as the propellant, nozzle design, burning area, etc.

 

[NatSusan]

Hi there,

I can definitely help you with writing the rocket equation with a strap on booster. The basic equation for rocket propulsion is:

F = m * a

Where F is the thrust force, m is the mass of the rocket, and a is the acceleration. In order to incorporate the strap on booster, we need to add the thrust forces of both the booster and the core rocket:

F_total = F_booster + F_core

Now, the exhaust velocity of the booster and the core rocket can be the same or different. If they are the same, we can rewrite the equation as:

F_total = m_total * a

Where m_total is the combined mass of the booster and the core rocket. However, if the exhaust velocities are different, we need to take that into account:

F_total = m_booster * a_booster + m_core * a_core

In this case, we need to calculate the thrust forces separately for the booster and the core rocket, taking into consideration their individual exhaust velocities.

I hope this helps! Let me know if you have any other questions.