Influence of the calculation method on understanding the motion of the rigid body

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F18%3A00536526" target="_blank" >RIV/60162694:G43__/18:00536526 - isvavai.cz</a>

Výsledek na webu

<a href="https://library.iated.org/view/MACKO2018INF" target="_blank" >https://library.iated.org/view/MACKO2018INF</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21125/iceri.2018.2568" target="_blank" >10.21125/iceri.2018.2568</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Influence of the calculation method on understanding the motion of the rigid body

Popis výsledku v původním jazyce

In the paper are shown the calculations of motion of the rigid body using high school mathematics and then the calculation of motion by means of a second order differential equation. The numerical method called the Runge-Kutta method was used to determine the results, i.e. the position of the rigid body in the coordinate system, as well as the velocity and acceleration of the rigid body. Different results of the calculation show the students errors that arose due to the calculation method used. The use of the differential equation is more difficult, but on the other hand it is taught to analytically think, because the use of numerical methods for calculating the second order differential equation means thorough preparation of the calculation procedure. Using a detailed calculation of rigid body motion, students learn to understand the complex motion as well as learn to apply mathematical methods to model rigid body motion. In the end, the two approaches that are used in teaching are compared.

Název v anglickém jazyce

Influence of the calculation method on understanding the motion of the rigid body

Popis výsledku anglicky

In the paper are shown the calculations of motion of the rigid body using high school mathematics and then the calculation of motion by means of a second order differential equation. The numerical method called the Runge-Kutta method was used to determine the results, i.e. the position of the rigid body in the coordinate system, as well as the velocity and acceleration of the rigid body. Different results of the calculation show the students errors that arose due to the calculation method used. The use of the differential equation is more difficult, but on the other hand it is taught to analytically think, because the use of numerical methods for calculating the second order differential equation means thorough preparation of the calculation procedure. Using a detailed calculation of rigid body motion, students learn to understand the complex motion as well as learn to apply mathematical methods to model rigid body motion. In the end, the two approaches that are used in teaching are compared.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

ICERI2018 Proceedings

ISBN

978-84-09-05948-5

ISSN

2340-1095

e-ISSN

—

Počet stran výsledku

5

Strana od-do

6671-6675

Název nakladatele

International Academy of Technology, Education and Development

Místo vydání

VALENICA, BURJASSOT

Místo konání akce

Seville, Spain

Datum konání akce

12. 11. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000568991701148