The discussion focuses on the calculation of rocket fuel consumption using a linear equation derived from the mass flow rate. The equation presented is m(t) = [(m(final) - m(initial)) / t(final)]t + m(initial), which describes the mass of the rocket as a function of time, assuming a constant rate of fuel consumption. Participants confirm that this approach is valid under the condition of constant mass loss, aligning with principles of linear equations.
PREREQUISITESStudents studying physics, particularly those focusing on rocket science and dynamics, as well as educators looking for examples of mass flow rate calculations in practical applications.
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?