6 th Grade Model Rocket Program The 6 th Grade Rocket Program Day 1 - - PowerPoint PPT Presentation
6 th Grade Model Rocket Program The 6 th Grade Rocket Program Day 1 - - PowerPoint PPT Presentation
6 th Grade Model Rocket Program The 6 th Grade Rocket Program Day 1 Investigate how and why a rocket works Determine what we will measure with our rocket Day 2 Predict how high the rocket will fly and what our instruments
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The 6th Grade Rocket Program
- Day 1
– Investigate how and why a rocket works – Determine what we will measure with our rocket
- Day 2
– Predict how high the rocket will fly and what our instruments will measure – Launch the rocket!
- Day 3
– Compare our predictions to what we measured with the instruments on the model rocket
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Today, we will…
- Identify the parts of a model rocket
- Describe the motion of a model rocket
- Calculate the altitude of a model rocket
Then, we will answer three questions
- What can we measure with a rocket?
- What will the measurements look like?
- How will we make these measurements?
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Parts of a rocket
Picture of model rocket flight
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Model rocket engine
Ejection charge to deploy the recovery system Non-thrust delay and smoke tracking charge High thrust charge for lift-off and acceleration
Thrust Phase Coast Phase
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How do you describe the motion of a rocket?
- What is the rocket’s position?
– Altitude – 332 meters high
- How fast is the rocket changing its
position?
– Velocity – 75 meters/second
- How fast is the rocket’s velocity
changing?
– Acceleration – 98 meters/second/second 98 meters/second2
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Velocity
- Measures the distance moved per unit of time
- Unit of measure
- Meters per second, kilometers per hour, miles/hour
- Examples
– Walking quickly = 10 km/hour = 2.8 m/sec – Car on freeway = 100 km/hour = 28 m/sec – Jet in flight = 1,000 km/hour = 280 m/sec – Space shuttle = 27,000 km/hour = 7,500 m/sec
- Experiments
– How fast am I moving? – How far did I travel?
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Acceleration
- Measures the change in velocity per unit of
time
- Units of measure
- Meters per second per second
- Kilometers/hour2
- Examples
– Acceleration of gravity = 1 g or 9.8 meters/second2 – Shuttle Thrust Phase produces 3 g – Blackout occurs at 4 – 6 g’s without special “anti-g suit” – Jet fighter acceleration = 9 g’s
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How can we predict the motion of a rocket?
- How far will I travel in t seconds?
– d = v1 • t + ½ • a • t2 [1]
- How far will I travel at velocity v?
– d = (v2
2 – v1 2) / (2 • a) [2]
- How fast will I go in t seconds?
– v2 = v1 + a • t [3]
- Definitions
– d = distance traveled – v1= velocity at start of time period – v2 = velocity at end of time period – a = acceleration
Observations for rockets
- If v1 = 0, then d = ½ a • t2
- If a = 0, then d = v • t
- If v1 = 0, then d = v2/(2 • a)
- If v1 = 0, then v = a • t
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How do we use these concepts?
- A skydiver jumps out of an airplane 1,000
meters above the ground
– Initial velocity = 0 meters/second – Acceleration = 9.8 meters/second/second
- The acceleration of gravity on Earth
- How fast am I going after 1 second? 10
seconds?
- How far have I traveled after 1 second? After
10 seconds?
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Skydiver summary
490 m 4.9 m 0 m distance 98 m/sec 9.8 m/sec 0 m/sec velocity 9.8 m/sec2 9.8 m/sec2 9.8 m/sec2 acceleration 10 seconds 1 second 0 seconds
- After 10 seconds, the skydiver is going 3.5 times
faster than a car on the freeway!
- After 10 seconds, the skydiver is almost ½ way
to the ground!
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What determines the motion of a rocket?
Newton’s 3 Laws of Motion 1. A body remains at rest, or in motion with a constant velocity, unless acted upon by an unbalanced force. 2. Acceleration = Force / mass 3. For every action (force) there is an equal and opposite re-action.
Sir Isaac Newton 1686
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3 Forces determine a rocket’s flight
- Thrust
– Determined by the rocket engine
- Gravity
– Acceleration of gravity (g) = 9.8 meters/second/second
- Drag or air resistance
– Caused by the rocket moving through the air – Determined by the diameter of the rocket, shape of the rocket, and other factors
- ForceTotal = FThrust – (FDrag + FGravity)
– Measured in Newtons
Gravity Drag Thrust
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How high will a rocket go?
Thrust Phase
- Thrust pushes the rocket
upward
- Gravity pulls the rocket
down
- Drag slows the rocket
- FTotal = FThrust – (FDrag +
FGravity) Coast Phase
- Engine burnout, so the
thrust is zero
- Gravity pulls the rocket
down
- Drag slows the rocket
- When the rocket reaches
apogee
– Velocity = 0 – Acceleration = 0
- FTotal = FDrag + FGravity
AltitudeTotal = AltitudeThrust phase + AltitudeCoast phase
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How high will a rocket go (ignoring drag)?
Thrust Phase
FTotal = FThrust – FGravity Aupward = Arocket – Agravity Aupward = (Engine thrust/Rocket mass) – g AltitudeThrust Phase = ½ Aupward • t2
Coast Phase
FTotal = FGravity Vburnout = Aupward • tthrust duration AltitudeCoast Phase = V2
burnout / (2 • g)
Gravity Thrust Gravity
AltitudeTotal = AltitudeThrust phase + AltitudeCoast phase
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Example Calculation
- A small model rocket – the micro V2
– 17.8 cm long – 1.89 cm diameter – Rocket
- Mass = 0.028 kg
- Weight = 0.27 Newtons
– Engine
- Thrust = 10.7 Newtons
- Thrust duration = 0.5 seconds
- How high will this rocket fly?
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Small model rocket example
Thrust Phase Aupward = 372.3 m/sec2 = 38 g’s Altitude = 46.5 meters AltitudeTotal = 1,814.9 meters
Observations – During Thrust Phase - rockets gain a small amount of altitude and a large velocity – During Coast Phase - rockets gain most of their altitude
Coast Phase Vburnout = 186.2 m/sec Altitude = 1,768.4 meters
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Observations
- Drag has a large impact on the altitude of
the rocket at apogee
– Calculating drag is complicated (trust me!)
- Rockets gain a small amount of altitude
and a large velocity during the Thrust Phase
- Rockets gain most of their altitude during
the Coast Phase
- Model rockets go really fast and very high!
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Group Activity
- What can we measure during the flight of
a model rocket?
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What do the measurements look like?
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How are the measurements made?
Rocket Data Acquisition System (R-DAS)
The CPU, or brain to do all the work Memory to record all the data The program, or instructions, to tell the CPU what to do.
- 1. Wait for lift-off
- 2. After lift-off,
take measurements The sensors that measure the data 200 times/sec
6th Grade Model Rocket Program
Day 2
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Today, we will…
- Calculate the altitude for our rocket launch
– We will ignore drag in the calculations – Extra credit – predict the altitude at apogee with drag
- Predict the change in temperature for our
flight
- Discuss safety on the rocket range
- Launch the rocket!!
- Record the data (if we have time)
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Group activity
- Break into shipwreck groups
- Complete the altitude calculation
worksheet
- Predict how the temperature will change
during the flight
– Draw a graph and show how the temperature will change with altitude
- Y-axis = temperature
- X-axis = altitude
altitude temperature
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Rocket Worksheet
- Equations of motion
– aupward = arocket engine – agravity – aupward = (engine thrust / total mass of the rocket) – g – altitudeburnout = ½ • aupward • t2 where t = thrust duration – vburnout = aupward • t where t = thrust duration – altitudeCoast phase = vburnout
2 / (2 • g) where g = 9.8 m/sec/sec
– altitudetotal = altitudeburnout + altitudeCoast phase
- altitudetotal =
- altitudeCoast phase =
- vburnout =
- altitudeburnout =
- aupward =
Units Value Quantity
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Temperature vs. Altitude
Altitude Temperature Slope ~ 0.02 ° C/m
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Launch site safety rules
- Everyone stand behind the launch table at
all times
- Do not run up to the rocket when it lands.
You can trip and fall on the rocket and break it!
– Yes, it happened to me!
- Only teachers are allowed to install the
engine and ignite it.
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6th Grade Model Rocket Program
Day 3
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Today, we will…
- Compare the data collected yesterday with
your predictions
– Each group will present their predictions,
- bservations, and conclusions to the class
- Where can you learn more about rockets?
- Discussion on the 6th Grade Model Rocket
Program
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Other model rocketry resources
- Handbook of Model Rocketry by G. Harry Stine
– The best book on all aspects of model rocketry
- www.nar.org
– The National Association of Rocketry
- www.estes.com
– Manufactures model rocket kits and engines
- www.nasa.gov
– Search for “model rocket” – lots of information!
- Local hobby stores and rocketry clubs
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