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ALGEBRA ACADEMY, SAN GORGONIO HIGH SCHOOL
Up, up, and away…Rocket Building Activity
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-Projectile Motion-Projectile Motion-Trajectories-Trajectories-Parabolas-Parabolas-Quadratic -Quadratic EquationsEquations-Quadratic Model-Quadratic Model
YOU SHOULD BE FAMILIAR WITH…
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-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…
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MATHMATHSCIENCESCIENCEINGENUITYINGENUITYENGINEERIENGINEERINGNG
Turning “theory” and “concept” into a practical reality
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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…
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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…
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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?
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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
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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
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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…
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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…
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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
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Center of MassCenter of Mass
The point where The point where the rocket the rocket balancesbalances
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Center of MassCenter of Mass
The point where The point where the rocket the rocket balancesbalances
CM (symbol)
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Center of MassCenter of Mass
The sum of all The sum of all forces is equal forces is equal
to zeroto zero
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Center of MassCenter of Mass
Weight
Weight
=
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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.
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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.
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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
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Center of PressureCenter of Pressure
The symbol for the Cp The symbol for the Cp
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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
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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
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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
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Nike Missiles
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ATACMS Rocket
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ATACMS Rocket
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Chaparral Rockets
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Corporal Rocket
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Hermes Rocket
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Honest John Rocket
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Honest John Rocket
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Lacrosse Rocket
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Little John Rocket
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Major Rocket
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Patriot Missile
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Pershing Rocket
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Sergeant Rocket
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Spartan Rocket
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SS10 Rocket
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SS11 Rocket
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V2 Rocket