HW: Difference between revisions
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For this homework assignment I wanted to try and see if I could find a correlation between a dragsters rear tire expansion in comparison to its velocity. To help me with my model I will me using the Army's dragster for some of my data. If you would like to check it out you can find it at [http://www.goarmy.com/army-racing/nhra-top-fuel/dragster.html]. | For this homework assignment I wanted to try and see if I could find a correlation between a dragsters rear tire expansion in comparison to its velocity by using either the method of Laplace transform or the Fourier series. To help me with my model I will me using the Army's dragster for some of my data. If you would like to check it out you can find it at [http://www.goarmy.com/army-racing/nhra-top-fuel/dragster.html]. | ||
'''Data:''' | '''Data:''' | ||
Outside tire diameter = 36.5" or up to 40.5" due to tire expansion | * Outside tire diameter = 36.5" or up to 40.5" due to tire expansion | ||
Inside tire diameter = 16" | |||
Width of tire = 17" | * Inside tire diameter = 16" | ||
Air pressure in tire = 7 psi | |||
Volume of Tire = 9.82 ft^3 **(you have to add about 1.5ft^3 to account for possible expansion)** | * Width of tire = 17" | ||
Fastest quarter mile time = 4.428 sec | |||
Fastest quarter mile speed = 337.58 | * Air pressure in tire = 7 psi | ||
* Volume of Tire = 9.82 ft^3 **(you have to add about 1.5ft^3 to account for possible expansion)** | |||
* Fastest quarter mile time = 4.428 sec | |||
* Fastest quarter mile speed = 337.58 | |||
'''Equations:''' | |||
Volume = [(pi)*(R^2)(h)-(pi)*(r)(h)] | |||
y = .075/(Vmax-Vmin) **(this is the number of inches that the tire should expand given the current velocity.)** | |||
[[<object style="height: 390px; width: 640px"><param name="movie" value="http://www.youtube.com/v/V3yj_OGezWc?version=3"><param name="allowFullScreen" value="true"><param name="allowScriptAccess" value="always"><embed src="http://www.youtube.com/v/V3yj_OGezWc?version=3" type="application/x-shockwave-flash" allowfullscreen="true" allowScriptAccess="always" width="640" height="390"></object>]] | |||
Revision as of 21:16, 31 October 2010
For this homework assignment I wanted to try and see if I could find a correlation between a dragsters rear tire expansion in comparison to its velocity by using either the method of Laplace transform or the Fourier series. To help me with my model I will me using the Army's dragster for some of my data. If you would like to check it out you can find it at [1].
Data:
- Outside tire diameter = 36.5" or up to 40.5" due to tire expansion
- Inside tire diameter = 16"
- Width of tire = 17"
- Air pressure in tire = 7 psi
- Volume of Tire = 9.82 ft^3 **(you have to add about 1.5ft^3 to account for possible expansion)**
- Fastest quarter mile time = 4.428 sec
- Fastest quarter mile speed = 337.58
Equations: Volume = [(pi)*(R^2)(h)-(pi)*(r)(h)]
y = .075/(Vmax-Vmin) **(this is the number of inches that the tire should expand given the current velocity.)** [[<object style="height: 390px; width: 640px"><param name="movie" value="http://www.youtube.com/v/V3yj_OGezWc?version=3"><param name="allowFullScreen" value="true"><param name="allowScriptAccess" value="always"><embed src="http://www.youtube.com/v/V3yj_OGezWc?version=3" type="application/x-shockwave-flash" allowfullscreen="true" allowScriptAccess="always" width="640" height="390"></object>]]