We will assume that you have 450 kg of fuel I = 320 seconds for this rocket Using the information given (and what you figured out) use the following formula to find the total ∆v that your rocket can produce. The “ln” is the natural log of m0/mf. How long would it take the engine to accelerate the rocket to escape velocity? (this assumes that the engine is accelerating the rocket only; we aren’t including the mass of the fuel) Is the ∆v enough to get from 0 m/s to escape velocity? If it isn’t, plug in the escape velocity for ∆v and solve for I (you leave the ln(m0/mf) the same). What is the minimum specific impulse you need to get off Titan?
We will assume that you have 450 kg of fuel
I = 320 seconds for this rocket
Using the information given (and what you figured out) use the following formula to find the total ∆v that your rocket can produce. The “ln” is the natural log of m0/mf.
How long would it take the engine to accelerate the rocket to escape velocity? (this assumes that the engine is accelerating the rocket only; we aren’t including the mass of the fuel)
Is the ∆v enough to get from 0 m/s to escape velocity?
If it isn’t, plug in the escape velocity for ∆v and solve for I (you leave the ln(m0/mf) the same). What is the minimum specific impulse you need to get off Titan?
Key Points to know:
- The gravitational acceleration of the Titan in m/s^2 1.66 m/s^2
- The weight of the rocket in Newtons on Titan is 332N.
- The velocity of the rocket should be 4,370.73 m/s.
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