Newtons laws 215 lt_f12
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Transcript of Newtons laws 215 lt_f12
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Newton’s Laws of Motion Apparatuses
GREENtree
Christopher Alston, Andre Bernal, Julian Quick, and Jesse Zipursky
Engineering 215 Fall 2012
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To design and build a set of apparatuses that demonstrate Newton’s three laws of motion to Laurel Tree high school students
Objective
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Newton’s Laws of Motion1st Law: An object stays in constant motion unless acted upon by an external force
2nd Law: Force equals mass times acceleration
3rd Law: For every action there is an equal and opposite reaction
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Criteria• Durability• Mysteriousness• Safety• Educational Value• Measurability• Accuracy & Precision• Inexpensive• Storability• Sustainability
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The Three Apparatuses
Inclined Planes
Loop de Loop Rollercoaster
Balloon Rocket
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Inclined Planes
• Solving for the coefficient of friction for each surface
• Demonstrates friction and inertia on a moving object
• Different surfaces are secured on the planes with Velcro ®
Inclined Planes in construction The finished apparatus
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How to use the inclined planes
Friction cutouts
Inclined Planes
Free Body Diagram
• N = mgcos(θ)• Assume f = N• mg sin(θ) = mgcos(θ)• = tan(θ)
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Loop de Loop Rollercoaster
• Practical application
• Students can calculate initial height needed to pass loop
• Demonstrates F=ma, potential energy and centripetal acceleration
Loop de Loop RollercoasterJulian Quick, 2012
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How to use the Loop de Loop Rollercoaster
At top of loop, Fcentripetal acceleration ≥ Fgravity
ac = v2 / r
m g h = m v2
v2 = 2 g h
Julian Quick, 2012
m ac ≥ m g
ac ≥ g
To get v2, Use conservation of energy:
So, 2 g h / r ≥ g
Given that
h ≥ r / 2
Marble
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Balloon Rocket• Demonstrates
Newton’s Third Law
• Calculate average velocity
• Varying distances
Balloon Rocket Apparatus
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Balloon Rocket: How does it work?
balloon
Track
Straw (unseen)
The Rocket Balloon in use
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Total Cost (materials)Material Quantity Cost ($)
Retail Cost ($)
Plywood 6" by 30” (planes)
2 donated $ 33.50
Plywood 4' by 4' (platform)
1 donated $ 16.37
Hinges 8 $ 17.98 $ 17.98 Metal Slate 6" by 30”
1 donated $ 21.98
Carpet 6" by 30” 1 donated $ 5.79 Wooden Blocks 2" by 6"
4 donated $ 11.56
Plywood Stand 2 donated $ 15.49 Nails and Hardware
1 $ 1.99 $ 1.99
Wood Glue 1 $ 3.49 $ 3.49 Velcro® 8 $ 3.99 $ 3.99
$ 27.45 $132.14 Total
Inclined Planes
Material Quantity Cost ($)Retail
Cost ($)1.25” PVC Pipe at 4’
2 $ 5.49 $ 5.49
6 gal Buckets 2 $ 13.98 $ 13.98 1.25” PVC Coupling
2 $ 2.98 $ 2.98
Eye Hook 2 $ 3.98 $ 3.98 1.25” PVC Plug 2 $ 2.99 $ 2.99 String or Thin Line at 7’
1 $ 8.99 $ 8.99
A Pack of Balloons
1 $ 2.97 $ 2.97
1” tubing section at 1’
1 $ 0.17 $ 0.17
Washers 4 $ 0.80 $ 0.80 Spray Painy 2 $ 9.98 $ 9.98 40LB Concrete 1 $ 5.49 $ 5.49
$ 57.82 $ 57.82
Balloon Rocket
Total
Material Quantity Cost ($)Retail
Cost ($)Foam Pipe Insulation
2 $ 3.98 $ 3.98
1.25 “PVC Pipe segments
6 3.56 $ 3.56
1’x .5’ Plywood 1 donated $ 5.37 Adhesive 1 $ 3.29 $ 3.29 Bag of Marbles 6 $ 2.99 $ 2.99
$ 13.82 $ 19.19
Loop de Loop Rollercoaster
Total
99.09$ 209.15$
Cost PaidRetail Cost
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Total Cost (hours)
Total Hours: 200.25
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Becca SchulerLaurel Tree Charter SchoolMarty ReedLewis CMichelle “Moss” WurlitzerArcata LumberLonny Grafman
Thank You