MadSci Network: Engineering
Query:

Re: Is there an equation to use for results of auto design/resistence trials?

Date: Tue Jan 16 12:25:28 2001
Posted By: Kermit Rose, Staff, Academic Computing Network Services, Florida State University
Area of science: Engineering
ID: 978706474.Eg
Message:

Hello Brandon.

Perhaps you have in mind that the force of air resistance is proportional to
the square of the velocity.

It's not easy make use of this formula for the experimental setup that you
have.  In fact, I suggest you not worry about the formula.   The graphs that
you make will represent the formula.   Make a different graph for each model
car.  On the horizontal axis, put the force used to propel the car, and on 
the
vertical axis, put the distance traveled.    It will be clear by comparing 
the
graphs which cars have the best aerodynamic design.

If you wish to fit the graphs to a formula, there is a method called 
polynomial
regression that would attempt to fit a polynomial to the data.  You would
want to select the same degree polynomial for each of the graphs.  Probably
quadratic polynomial would be the best choice.  You generally should pick
the lowest degree polynomial that will give you what you wish.

Each different car design will have a different graph, and therefore a
different
polynomial to represent it.

If you wish to ask additional questions, email me directly at
kermit@polaris.net

Kermit



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