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edit approved Mar 26, 2016 at 0:03
pfnuesel
edit approved Mar 26, 2016 at 0:03
pfnuesel
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For an assignment of mine I am creating a very basic model of an airplane, where I choose to consider a fixed amount of parameters that affect flight and to disregard others which I find too difficult to model due to lack of experience. I am modelling the acceleration to start, and I've gotten this far:

$Acceleration = Force * Mass$

$Force = TotalThrust - Drag$

I have the total thrust for my model of airplane, the C-130 Hercules, however for drag is where complications arise. I wish to plot acceleration vs. time in a graph of mine to derive an equation of it, however I don't know how I would express drag as a function of time if somehow possible.

Being that the equation for Drag is the following:

$Drag = (Drag Coefficient) * (Density of Air) * (Terminal Velocity)^2 * (Area of Wing)$,

I was wondering if I could express either the density of air or terminal velocity as a function of time if somehow possible, so that I could create an acceleration vs. time graph. Is there any way at all to manipulate variables such that the expression becomes as a function of time?

Keep in mind I am making the primitive assumption that everything else stays fixed. I.e., if my terminal velocity becomes a function of time, I'll keep my drag coefficient, and density of air as fixed values just for the sake of making it less complicated.

Thanks in advance!

For an assignment of mine I am creating a very basic model of an airplane, where I choose to consider a fixed amount of parameters that affect flight and to disregard others which I find too difficult to model due to lack of experience. I am modelling the acceleration to start, and I've gotten this far:

$Acceleration = Force * Mass$

$Force = TotalThrust - Drag$

I have the total thrust for my model of airplane, the C-130 Hercules, however for drag is where complications arise. I wish to plot acceleration vs. time in a graph of mine to derive an equation of it, however I don't know how I would express drag as a function of time if somehow possible.

Being that the equation for Drag is the following:

$Drag = (Drag Coefficient) * (Density of Air) * (Terminal Velocity)^2 * (Area of Wing)$,

I was wondering if I could express either the density of air or terminal velocity as a function of time if somehow possible, so that I could create an acceleration vs. time graph. Is there any way at all to manipulate variables such that the expression becomes as a function of time?

Keep in mind I am making the primitive assumption that everything else stays fixed. I.e., if my terminal velocity becomes a function of time, I'll keep my drag coefficient, and density of air as fixed values just for the sake of making it less complicated.

Thanks in advance!

For an assignment of mine I am creating a very basic model of an airplane, where I choose to consider a fixed amount of parameters that affect flight and to disregard others which I find too difficult to model due to lack of experience. I am modelling the acceleration to start, and I've gotten this far:

$Acceleration = Force * Mass$

$Force = TotalThrust - Drag$

I have the total thrust for my model of airplane, the C-130 Hercules, however for drag is where complications arise. I wish to plot acceleration vs. time in a graph of mine to derive an equation of it, however I don't know how I would express drag as a function of time if somehow possible.

Being that the equation for Drag is the following:

$Drag = (Drag Coefficient) * (Density of Air) * (Terminal Velocity)^2 * (Area of Wing)$,

I was wondering if I could express either the density of air or terminal velocity as a function of time if somehow possible, so that I could create an acceleration vs. time graph. Is there any way at all to manipulate variables such that the expression becomes as a function of time?

Keep in mind I am making the primitive assumption that everything else stays fixed. I.e., if my terminal velocity becomes a function of time, I'll keep my drag coefficient, and density of air as fixed values just for the sake of making it less complicated.

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Modelling an Airplane Question

For an assignment of mine I am creating a very basic model of an airplane, where I choose to consider a fixed amount of parameters that affect flight and to disregard others which I find too difficult to model due to lack of experience. I am modelling the acceleration to start, and I've gotten this far:

$Acceleration = Force * Mass$

$Force = TotalThrust - Drag$

I have the total thrust for my model of airplane, the C-130 Hercules, however for drag is where complications arise. I wish to plot acceleration vs. time in a graph of mine to derive an equation of it, however I don't know how I would express drag as a function of time if somehow possible.

Being that the equation for Drag is the following:

$Drag = (Drag Coefficient) * (Density of Air) * (Terminal Velocity)^2 * (Area of Wing)$,

I was wondering if I could express either the density of air or terminal velocity as a function of time if somehow possible, so that I could create an acceleration vs. time graph. Is there any way at all to manipulate variables such that the expression becomes as a function of time?

Keep in mind I am making the primitive assumption that everything else stays fixed. I.e., if my terminal velocity becomes a function of time, I'll keep my drag coefficient, and density of air as fixed values just for the sake of making it less complicated.

Thanks in advance!