ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

Up, up, and away…Rocket Building Activity

-Projectile Motion-Projectile Motion-Trajectories-Trajectories-Parabolas-Parabolas-Quadratic -Quadratic EquationsEquations-Quadratic Model-Quadratic Model

YOU SHOULD BE FAMILIAR WITH…

-A rocket is a big, noisy projectile…-Its trajectory follows that of aparabola…-Parabolas are “described”by quadratic formulas…-The rockets motion canthus be described by aquadratic formula…

YOU SHOULD BE FAMILIAR (continued)

THIS IS THE MATH…THIS IS THE MATH…

MATHMATHSCIENCESCIENCEINGENUITYINGENUITYENGINEERIENGINEERINGNG

Turning “theory” and “concept” into a practical reality

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

Our practical reality?

Build a rocket that can fly the highest…

Be able to describe the flight of your rocket graphically and algebraically…

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

ScienceScience-In one week, we can’t fully explore the many concepts inPhysics/Chemistry/etc. that goes into rockets

But…

-We can explore the different forces and rocket relevant concepts that will help you build your rocket…

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

ScienceScience

It will explain why you need all that fire to make a rocket move…

It will explain why you can’t dunk…

It will help you design a “mass-friendly” rocket…

Why are forces on rockets important?Why are forces on rockets important?

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

What is a What is a force?force?A force is an influence that may cause anobject to accelerate.

A guy named Newton came up with laws that would explain how things move using forces.

What is acceleration?What is acceleration?The change of velocity over time

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

All about All about forces…forces…Newton’s First Lawforces acting upon an object are balanced, then the acceleration of that object will be 0 m/s2

Newton’s Second Lawforces acting upon an object are unbalanced, it will move depending on net force and mass (Fnet = m * a)

Example Example

Newtons 1st Law

There is balance, and rocket does not move…

At

Rest

…In

M

otio

n…

Fg

Fn

Force ofgravity

NormalForce

Fg

Fnet

Force ofgravity

Newtons 2nd Law

There is disbalance,and rocket moves…

Fg

Fnet

Force ofgravity

How do we get rocket movin’?

-The rocket needs to make a forcebigger than gravity…

-2nd law tells us that

F = m * aForce mass acceleration

-That means that if your “m” is reallybig (a big thing), the force to move itneeds to be very big as well…

-For a rocket, you not only need tomove it, BUT you must alsoovercome gravity…

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

ScienceScience-That is all the Newtonian Physics you need…

-Please take the rules for your activity, so as to get you started..

-Lets move on to some rocket building concepts that will help you build your rockets, likeCenter of mass

Center of pressureStability

Center of MassCenter of Mass

The point where The point where the rocket the rocket balancesbalances

Center of MassCenter of Mass

The point where The point where the rocket the rocket balancesbalances

CM (symbol)

Center of MassCenter of Mass

The sum of all The sum of all forces is equal forces is equal

to zeroto zero

Center of MassCenter of Mass

Weight

Weight

=

Center of PressureCenter of Pressure

The location where the forces The location where the forces on a moving rocket are on a moving rocket are

balanced.balanced.

Center of PressureCenter of Pressure

It is effected by the shape of It is effected by the shape of the nose cone and the size of the nose cone and the size of

the fins.the fins.

Center of PressureCenter of Pressure

The location is determined by The location is determined by the Barrowmen equation. the Barrowmen equation.

AAD fbb DADC fnnp

Center of PressureCenter of Pressure

The symbol for the Cp The symbol for the Cp

StabilityStability

The rocket will be more The rocket will be more stable if the center of stable if the center of mass is in front of the mass is in front of the

center of pressurecenter of pressure

Cm Cp

StabilityStability

The ideal situation is to The ideal situation is to separate the Cp and Cm separate the Cp and Cm by two body diameters.by two body diameters.

Cm Cp

DD D

ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL

IngenuityIngenuity-You must be creative and imaginative…

-Engineers take math an science, and have fun with it…

-The following slides have some design ideas, althoughI encourage you to not limit creativity

Nike Missiles

ATACMS Rocket

ATACMS Rocket

Chaparral Rockets

Corporal Rocket

Hermes Rocket

Honest John Rocket

Honest John Rocket

Lacrosse Rocket

Little John Rocket

Major Rocket

Patriot Missile

Pershing Rocket

Sergeant Rocket

Spartan Rocket

SS10 Rocket

SS11 Rocket

V2 Rocket