• Corpus ID: 210911762

On the approximation of D.I.Y. water rocket dynamics including air drag

  title={On the approximation of D.I.Y. water rocket dynamics including air drag},
  author={Laura West Fischer and Thomas M. Gunther and Linda Herzig and Tobias Jarzina and Frank Klinker and Sabine Knipper and Franz-Georg Schurmann and Marvin Wollek},
  journal={arXiv: Popular Physics},
If you want to get accurate predictions for the motion of water and air propelled D.I.Y rockets, neglecting air resistance is not an option. But the theoretical analysis including air drag leads to a system of differential equations which can only be solved numerically. We propose an approximation which simply works by the estimate of a definite integral and which is even feasible for undergraduate physics courses. The results only slightly deviate from the reference data (received by the Runge… 

Figures and Tables from this paper



Experimental evaluation of the drag coefficient of water rockets by a simple free-fall test

The flight trajectory of a water rocket can be reasonably calculated if the magnitude of the drag coefficient is known. The experimental determination of this coefficient with enough precision is

Theoretical and experimental analysis of the physics of water rockets

A simple rocket can be made using a plastic bottle filled with a volume of water and pressurized air. When opened, the air pressure pushes the water out of the bottle. This causes an increase in the

Hydrodynamics of a Water Rocket

A model to determine the trajectory of a water rocket is given that is far simpler than the system of coupled partial differential equations that typically results in modern hydrodynamic problems of interest.

Analysis of a water-propelled rocket: A problem in honors physics

The air-pumped, water-propelled rocket is a common child’s toy, yet forms a reasonably complicated system when carefully analyzed. A lab based on this system was included as the final laboratory

A more thorough analysis of water rockets: Moist adiabats, transient flows, and inertial forces in a soda bottle

The water rocket 1 is a popular toy that is often used in first year physics courses to illustrate Newton’s laws of motion and rocket propulsion. In its simplest version, a water rocket is made of a

Review of tennis ball aerodynamics

The aerodynamics of a tennis ball are reviewed here with reference to several wind tunnel measurement efforts. Measurements for a wide variety of tennis balls, including the ‘oversized’ balls, are

New Equations for Computing Vapor Pressure and Enhancement Factor

Abstract Equations are presented which relate saturation vapor pressure to temperature for moist air. The equations are designed to be easily implemented on a calculator or computer and can be used

Introduction to Mechanical Engineering

  • R. Rizza
  • Engineering, Materials Science
  • 2000
1. Mechanical Engineering as a Profession. The Role of a Mechanical Engineer. Becoming a Mechanical Engineer and the Lifelong Learning Process. Approaching and Solving an Engineering Problem. 2.

An introduction to mechanical engineering

1. THE MECHANICAL ENGINEERING PROFESSION 1.1 Overview 1.2 What Is Engineering? 1.3 Who Are Mechanical Engineers? 1.4 Career Paths 1.5 Typical Program of Study Summary Self-Study and Review Problems

Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)

A handbook of mathematical functions that is designed to provide scientific investigations with a comprehensive and self-contained summary of the mathematical functions that arise in physical and