Rocket fuel consumption too easy?

In summary, the solution for the given problem involves using the equation [(m(final) - m(initial)) / t(final)]t + m(initial) for the interval 0<t<t(final) where m(final) is the mass of the rocket without fuel, m(initial) is the mass of the rocket with fuel, and t(final) is the time for the fuel to be used up. This is a simple linear equation and does not involve derivatives or integrals.
  • #1
shutoutsteve
8
0

Homework Statement


Rocket with fuel mass of m(initial)
Rocket without fuel is m(final)
Time for fuel to be used up is t(final)


Homework Equations


What is m(t) (slope of m vs t graph)
(i assume t(initial) is zero

The Attempt at a Solution



[((m(final) -m(initial)) / t(final)]t + m(initial) for interval 0<t<tf

just mx+b?
 
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  • #2
shutoutsteve said:

Homework Statement


Rocket with fuel mass of m(initial)
Rocket without fuel is m(final)
Time for fuel to be used up is t(final)


Homework Equations


What is m(t) (slope of m vs t graph)
(i assume t(initial) is zero

The Attempt at a Solution



[((m(final) -m(initial)) / t(final)]t + m(initial) for interval 0<t<tf

just mx+b?

That's true if mass is lost at a constant rate.
 
  • #3
Yes, that was given too.
Our other assignment page is covered in derivatives and integrals, but my answer for this one was simple math, so I was worried I had it wrong. :)
 

1. What is rocket fuel consumption too easy?

Rocket fuel consumption too easy refers to the rate at which fuel is consumed by a rocket during its flight. It is often measured in terms of specific impulse, which is the amount of thrust produced per unit of fuel consumed.

2. Why is it important to monitor rocket fuel consumption?

Monitoring rocket fuel consumption is crucial for ensuring successful and efficient space missions. By tracking the amount of fuel being used, scientists and engineers can make adjustments to optimize the rocket's performance and potentially extend its flight time.

3. How is rocket fuel consumption calculated?

Rocket fuel consumption is calculated by dividing the amount of thrust produced by the rocket by the rate at which fuel is consumed. This can be done using specific impulse, which takes into account the type of fuel being used and the rocket's mass.

4. What factors can affect rocket fuel consumption?

Several factors can impact rocket fuel consumption, including the type of fuel used, the design and weight of the rocket, and the atmospheric conditions during flight. Changes in these variables can result in variations in fuel consumption.

5. How can scientists improve rocket fuel consumption?

Scientists are constantly researching and developing new technologies and techniques to improve rocket fuel consumption. This includes using more efficient fuels, optimizing rocket design, and finding ways to minimize atmospheric resistance during flight.

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