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rocketTheory

# rocketTheory - Introduction In this project we designed...

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Introduction In this project we designed, built, and tested a water bottle rocket. The rocket was to be constructed out of two 2-liter plastic bottles and was to hold a payload consisting of a filled water balloon with a parachute made out of garbage bags and tied to the payload with fishing line. The goals of the project were to successfully launch and recover the rocket and its payload, to maximize the descent time of the payload with the parachute and to successfully implement the rocket trajectory analysis developed in class. Theory Describe in detail the development of the rocket trajectory equations and the Mathcad procedure used to solve these equations. Any figures used in this explanation must be referred to in the text and be labeled. Use textbook format. In order to understand the math behind the rockets we tested, we had to develop rocket trajectory equations to describe the changing mass, height, and velocity of the rocket. Working in class, we developed a program that can figure out the mass, velocity, and height of the rocket at any time along the flight, given the mass of the empty rocket and the volume of water used to propel the rocket. To start off, we needed a few constants, such as A e , the area of the opening of the rocket, D , the diameter of the rocket, mdot , the mass flow rate, ρ w , the density of water, C D , the drag coefficient, and ρ , the density of the air. These values are given in Figure 1. = . = . = . = . = . Ae 0 000349 ft3 D 4 3 in mdot 0 342slugs ρw 1 94slugft3 CD 0 3 = . ρ 0 00238slugft3 Figure The program for explaining the trajectory of the rocket relies on four main equations. Each equation defines a characteristic of the flight of the rocket at a given time i . The equations give the time along the flight (Figure 2), the mass (Figure 3), velocity (Figure 4), and height (Figure 5) of the rocket at the given time.

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rocketTheory - Introduction In this project we designed...

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