Vandraket: Studieretningsprojekt i Fysik A og Matematik A

Vejledere:

Knud Agger og Nicolai Kliem

Yunus Emre Yildiz

HTX HILLERØD | 3.G

Vandraket - Srp

Matematik A - Fysik A

Titelblad

Studieretningsprojekt

Elev: [NAVN A] Klasse:1g 2015 ma/fy/geo

Fag:

Vejleder:

Fysik A

Nicolai Kliem?Email: [EMAIL XX]

Matematik A

Knud Winkel Agger Email: [EMAIL XX]

Opgaveformulering:

Opstil differentialligningen for lodret affyring af en raket i et tyngdefelt med konstant tyngdeacceleration og med en luftmodstand, der er proportional med farten. ?

Løs differentialligningen både generelt og under forskellige betingelser, og udled raketligningen for affyring i rummet. ?

Vurder, i hvilket omfang betingelserne for differentialligningen er opfyldt for de raketter, du anvender. ?

Du skal udføre et eksperiment med affyring af en vandraket og undersøge bevægelsen ved brug af videokamera. Du kan eventuelt supplere med andre relevante forsøg.

Abstract

This document is about water rockets and the rocket equation, and the different parts that follow with it. In this study, you are going to read about, what is a rocket. One of the things is, you can read about the rocket equation, or you can read about gas pressure. Afterwards you are going to read about the kinetic relationship to a rocket launch, and afterwards, you are going to read through, about a science experiment with a water rocket. From this document, you are going to learn how a rocket flies, from basal view. Thereafter you are going to read about the way you can use integral calculus and get to the formula of the rocket equation, where we’ll start from m·v=m+dmv+dv+-dmv-u and end with,vslut=u·lnmstartmslut,with the use of integral calculus. This study investigates the rocket equation, and how long it takes to empty the rocket, with use of differential equation. Afterwards you are going to read about, the water rocket experiment. In that part, you are going to read about, how the water rocket and the base is build, afterward there will be some results, from height to how fast it went. After wards you are going to read the conclusion and the perspectivation.