Abstract
In the skydiving problem, parachute is used to slow down the motion of skydiver for the safe landing. The shape of parachute's canopy play importance role to determine the speed of down motion of the skydivers. The more the air resistance occur at the parachute's canopy the slower the speed of the skydivers. Therefore, this project used difference types of shape of the parachute's canopy which are three dimensions and two dimensions that determine the air flow against its and also related to the values of drag coefficient. This project has the traditional equation for parachute problem and going tp use the application of Buckingham n Theorem to derive the drag coefficient of equation for improved of the parachute problem. By solving the improved of the parachute problem equation, the actual values by analytically solution of the velocity can be detennined. In addition, Fourth Order Runge Kutta method (RK4) also use in this project to find the approximation solution due to its high accuracy rather that other numerical solution. This project would like to compare the analytical and numerical solution by calculate the error between this two method. Other than that, by comparing the values, this project know that whether the numerical solution method is suitable or not to use for solve the parachute problem. Based on this project findings, the value of error that had been calculated was quite large, therefore this project was testing with the smaller step size in reducing the error so that the numerical solution method can be used to solve the parachute problem.
Metadata
Item Type: | Student Project |
---|---|
Creators: | Creators Email / ID Num. Wahab, Nur Syairah 2015875306 Zaini, Nursyirah Zaim 2015839768 Nik Hassan, Nik Haseriani 2015282786 |
Contributors: | Contribution Name Email / ID Num. Advisor Rosli, Aimi Zulliayana UNSPECIFIED |
Subjects: | Q Science > QA Mathematics > Study and teaching Q Science > QA Mathematics > Equations Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas |
Divisions: | Universiti Teknologi MARA, Kelantan > Machang Campus > Faculty of Computer and Mathematical Sciences |
Programme: | Mathematics Project (MAT660) |
Keywords: | skydiving problem, equation, Fourth Order Runge Kutta, numerical solution |
Date: | 2017 |
URI: | https://ir.uitm.edu.my/id/eprint/110028 |
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