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Issue 98, September 1998
Smart Rockets - Data Acquisition in Model Rocketry


by Tom Consi & Jim Bales

Start Introduction to Model Rocketry Rocket Science 101Control & Data LoggingThe Accelerometer SoftwarePowerSystem Construction Launch Control Box Results Future Developments Software & Sources

ROCKET SCIENCE 101

Newton’s First Law, F = ma, contains all the physics you need to predict the accelerations that the system will record. All we need is the mass of the rocket (m) and the applied force (F), right?

The force exerted by a rocket engine is not constant as you see in the thrust versus time curve for an Estes C6-5 engine (the dashed line in Figure 1). We assume the rocket moves straight up while the thrust is applied, so the total force is the engine thrust minus the gravitational force (mg, g = 9.8 m/s2).

If the mass of the rocket were fixed, then the acceleration is the dashed line scaled by the mass. However, as the propellant burns, the mass of the rocket decreases.

How important is this effect? For NASA, it’s critical—85% of the space shuttle’s take-off weight is fuel!

In our case, only 12 g of the 105-g take-off weight is fuel (11%). So, we can treat the rocket mass as a constant, which gives us the expected acceleration curve shown as the solid line in Figure 1.

Our students made this calculation on the first day of class. Their task for the semester was to determine, by direct measurement, if Figure 1 is correct.