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Space Grant Consortium - University of Wisconsin - Green Bay

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Discussion <strong>of</strong> Results<br />

Acceleration<br />

According to RockSim, based on the rocket geometry, weight, and motor thrust the anticipated<br />

acceleration was 1119 ft/sec squared. However, this is assuming perfect conditions. The actual<br />

acceleration was approximately 1156 ft/sec squared. This is most likely due to a loss in thrust<br />

provided by the motor, is due to several factors. For the actual launch, separation between the<br />

rocket and the launch rail is not frictionless, therefore acceleration is lost. The coefficient <strong>of</strong><br />

friction on the surface <strong>of</strong> the rocket was most likely higher than RockSim predicted. This would<br />

create more drag and reduce acceleration. The last contribution to acceleration loss is wind. On<br />

the day <strong>of</strong> the launch there was a strong wind. This affects the acceleration by altering the<br />

rockets orientation slightly. This changes the rockets momentum vector. By changing the vector<br />

some acceleration is lost. It is because <strong>of</strong> these factors that the actual acceleration was different<br />

from the predicted value.<br />

Altitude<br />

Our predicted altitude at apogee was 4670 feet according to RockSIm, found in table 1; however,<br />

the actual altitude reached was 3136 feet. The altitude is related to the acceleration in the way<br />

that the loss <strong>of</strong> the acceleration leads to the loss <strong>of</strong> altitude. If the acceleration is lowered then the<br />

momentum will also be lowered. With a lower momentum the dart will not travel as high after<br />

separation from the booster.With less momentum the dart will not travel as high.<br />

Wind will also affect the altitude. Since the center <strong>of</strong> gravity leads the center <strong>of</strong> pressure, the<br />

rocket will turn into the wind as it travels. Ascending at an angle lowers the altitude in respect to<br />

the vertical.<br />

When simulating the rocket in RockSim, only model the rocket as a whole instead <strong>of</strong> a booster<br />

and a dart. This would keep the drag the same from launch till apogee instead <strong>of</strong> the case <strong>of</strong> a<br />

dart, where the dart has less drag thereby ascending higher.<br />

There is also the friction when the dart separates from the booster. In our design we tried to<br />

minimize this amount <strong>of</strong> friction however there will always be some. Because <strong>of</strong> this amount <strong>of</strong><br />

friction some momentum is lost during the transfer between the entire rocket and the dart. These<br />

are the reasons for the difference between the predicted altitude and the actual altitude.<br />

Conclusion<br />

Ultimately, the boosted-dart rocket was a success in that it completed the primary goals <strong>of</strong> the<br />

competition. That is, to design, build, and simulate a boosted-dart rocket that would have the dart<br />

separate from the booster at motor burnout. The simulated values for the altitude proved to vary<br />

from the actual, with a percent error <strong>of</strong> 32.8%. The reasons for these differences were established<br />

in the discussion section <strong>of</strong> this report. The acceleration that was predicted showed to be close to<br />

the actual value, with only a 3.3% error. All in all, the launch and post flight analysis showed<br />

that results were collected and analyzed correctly.<br />

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