m dv/dt = F ā mg ā Ā½Ļ Cį“
A v|v|m: kg; F and mg: N ; v: m/s, positive ascension.
Use when: Vertical writing: the term v|v| adapts the sign of the drag to the direction of movement.
Intu LabUnderstanding through experienceLink systems integration, thrust, mass and vertical trajectory.
The motor accelerates a backward flow of material; the reaction produces a thrust on the vehicle. The structure, tanks, avionics and payload must be integrated before launch.
During powered flight, mass decreases. Weight and drag oppose ascent; after extinguishing, the vehicle can continue to climb before the climax. The workshop model remains vertical and suborbital.
m dv/dt = F ā mg ā Ā½Ļ Cį“
A v|v|m: kg; F and mg: N ; v: m/s, positive ascension.
Use when: Vertical writing: the term v|v| adapts the sign of the drag to the direction of movement.
D = ½ Ļ Cį“
A v²Ļ: kg/m³; Cį“ : without unit; A: m²; D: N.
Use when: Drag magnitude; the workshop model uses constant Cį“ .
ĪvidĆ©ale = Isp gā ln(mā/mf)Isp: s; gā: m/s²; mā and mf: initial and final masses.
Use when: Ideal Tsiolkovsky equation, without gravitational or aerodynamic losses.
Assemble and verify functional interfaces.
Study mass balances, forces and telemetry.
Observe the continuation of the ascent after extinction. Explain why the apogee does not necessarily coincide with the end of the surge.
This sheet explains the principles and their assumptions. Educational simulation can simplify the process; an industrial model requires suitable data and validation.
Only one correct answer per question. Answer all three questions, then view the answer key.