Technical report: the study of parachute problem / Nur Syairah Wahab, Nursyirah Zaim Zaini and Nik Haseriani Nik Hassan

Wahab, Nur Syairah and Zaini, Nursyirah Zaim and Nik Hassan, Nik Haseriani (2017) Technical report: the study of parachute problem / Nur Syairah Wahab, Nursyirah Zaim Zaini and Nik Haseriani Nik Hassan. [Student Project] (Unpublished)

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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