HW

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>]]