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Fix subscript on coeff of drag in Balloon sim README. #1210

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John M. Penn 2021-12-21 12:22:33 -06:00
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trick_sims/SIM_balloon/README.md
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@ -153,12 +153,12 @@ Here, we can do that same calculation for air mass as before, using
### Force of Drag
As the balloon moves upward, or downward, it will be subjected to an atmospheric drag force. Drag is a function of the balloon’s shape [ represented by the coefficient of drag (Cd) ], the density of the air (𝝆), and the cross-sectional area (A) perpendicular to the velocity (v). The drag force points in the opposite direction as the velocity.
As the balloon moves upward, or downward, it will be subjected to an atmospheric drag force. Drag is a function of the balloon’s shape [ represented by the coefficient of drag (C<sub>d</sub>) ], the density of the air (𝝆), and the cross-sectional area (A) perpendicular to the velocity (v). The drag force points in the opposite direction as the velocity.
<a id=Equation-10></a>
![Equation 10](Images/Equation10.png)
For our balloon, we’ll assume Cd = 0.5, the coefficient of drag for a sphere.
For our balloon, we’ll assume C<sub>d</sub> = 0.5, the coefficient of drag for a sphere.
Since the balloon will be moving through our “standard atmosphere” 𝝆 = ```US_STD_density(altitude)```.
We’ll calculate the cross-sectional area (A) from the radius of the spherical portion of our balloon.