The Dinh Pa A Multidisciplinary Learning Tool Paul French, SUNY College at Oneonta Tim Ploss, SUNY College at Oneonta Julie Arrighi, Rensselaer Polytechnic Institute

Overview  The Disciplines and the Structure of the Project  The Dinh Pa  Physics Analysis  Results

Multidisciplinary Music and Instrument DesignMusic and Instrument Design MathematicsMathematics EngineeringEngineering Physics/AcousticsPhysics/Acoustics

VietnameseVietnamese BambooBamboo PentatonicPentatonic Strapped together with twineStrapped together with twine PVC pipePVC pipe ChromaticChromatic Wood frameWood frame Longest pipe-306 cmLongest pipe-306 cm Height 170 cmHeight 170 cm Width-230 cmWidth-230 cm Weight-220lbsWeight-220lbs The Traditional vs. vs. The Oneonta Dinh Pa The Oneonta Dinh Pa

Music & Instrument Design  Interest  Aesthetic judgment  Practical decisions

Mathematics  FFT

Low Frequency vs. High Frequency

Mathematics  FFT  Differential Equations

Engineering Ergonomics, Durability, Cost, Portability, Aesthetic Factors, Safety …  Background Research  Grant Proposal  Prototypes and Testing –Pipe factors –Mallet  Stand

The construction…

Engineering Ergonomics, Durability, Cost, Portability, Aesthetic Factors, Safety …  Background Research  Grant Proposal  Prototypes and Testing –Pipe factors –Mallet  Stand  Final Product

“The Dinh PaJama’s”

Physics  Standing Wave λ=2L  λf=v  End CorrectionL’ = L+ 2  Levine and Schwinger (Phys. Rev. Feb. 1948),  = rLevine and Schwinger (Phys. Rev. Feb. 1948),  = r Our results  = rOur results  = r  Speed of Sound

Summary  Successful learning experience  Good instrument and design process  Results –End Correction:13% or 4% –Speed of Sound:0.5%

Future Work  Check calibration of tuner  Adjust for thermometer lag  Collect data over a wider temperature range  Redesign Mallet

Thank you!  The SUNY College at Oneonta Foundation, Inc., and the Committee on Research  Al Read, Steven Button  Physics 204 honors students: Neville Campbell, John Collins, Sushrut Patil, Carolyn Bauer, Tom Davis, Erik Rockwell  Work Study Students: Melissa Stanley, Elizabeth Tolley, Patrick Cole  Pie in the Sky, Farmhouse Restaurant