team of russia n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Team of Russia PowerPoint Presentation
Download Presentation
Team of Russia

Loading in 2 Seconds...

play fullscreen
1 / 16

Team of Russia - PowerPoint PPT Presentation


  • 55 Views
  • Uploaded on

Presented by Nikita Shanin. Team of Russia. Problem №15 « Slow Descent » :

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Team of Russia' - melanie-whitney


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
team of russia

Presented by Nikita Shanin

Team of Russia

Problem №15«Slow Descent»:

Design and make a device, using one sheet of A4 80 gram per m² paper that will take the longest possible time to fall to the ground through a vertical distance of 2.5m. A small amount of glue may be used. Investigate the influence of the relevant parameters.

plan of solution
Plan of solution

Short analysis

Comparison of theoretical results with practical

Conclusion

Methods of solution definition

Creation of devices, that meet demands of model

Perfection of a devices

Physical model

Nikita Shanin IYPT 2011 2

short analysis
Short analysis
  • Translational motion:

Ep =

Ek trans.

+ Wdrag

Nikita Shanin IYPT 2011 3

short analysis1
Short analysis
  • Translational and rotational motion:

Ep =

Ek trans.

+ Wdrag trans

+ Ekrotat.+ Wdragrotat.

Nikita Shanin IYPT 2011 4

dependence t
Dependence ω(t)

Nikita Shanin IYPT 2011 5

physical model
Physical model
  • Weaknesses:
  • instability
  • fuzzy concept
  • governed by chance

?

g

g

Nikita Shanin IYPT 2011 6

physical model1
Physical model

g

Nikita Shanin IYPT 2011 7

dependence on length of stiffener
Dependenceωon length of stiffener

Nikita Shanin IYPT 2011 8

physical model2
Physical model

Energy balance:

Ep= Ek1 + Ek2 + Wdrag1 + Wdrag2

Fdragrotat

mv2

m(rω)2

After some transformations:

2

24

mgh = ++ +

β * (rω)2 * r/4* 2π*N

α * v2 * S * l

F’dragrotat

Fdrag trans

g

ν =

Nikita Shanin IYPT 2011 9

devices which were used and their size
Devices which were used and their size

m

m

x

x

x

x

r

r

Nikita Shanin IYPT 2011 10

devices which were used and their size1
Devices which were used and their size

m

m

x

x

x

x

r

r

Nikita Shanin IYPT 2011 11

devices which were used and their size2
Devices which were used and their size

m

m

x

x

x

x

r

r

Nikita Shanin IYPT 2011 12

devices which were used and their size3
Devices which were used and their size

m

x

x

r

Nikita Shanin IYPT 2011 13

conclusion
Conclusion

Parameters of the device which take the longest possible time to fall to the ground through a vertical distance of 2.5m:

  • length of sides 15x42 cm.
  • length of stiffener 3 cm

The relevant parameters:

  • stiffeners
  • format of device

Nikita Shanin IYPT 2011 15

action of w f drag

Hidden slide

Action ofWFdrag

mv2

Iω2

mgh = + + Wdragtrans+ Wdragrotat

2

2

Wdragrotat. = Mf *φ =

= β* (rω)2 * r/4* 2π*N

mv2

Wfdragtrans. = α * v2 * S * d

m(rω)2

2

24

mr2

12

S

I=

r is a length of a smaller side

ωis an angular velocity of a device

Nis a number of complete turns at full time of descent

d is the distance which object has get over

v is a linear velocity of a device

S is acontact area between air and device

mgh = + + +

α * v2 * S * l

r

β * (rω)2 * r/4* 2π*N

ν =