Free Fall Equation (Air Drag) (Q3836): Difference between revisions
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Removed claim: Generalizes (P815): Free Fall Equation (Vacuum) (Q3794) |
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\begin{aligned} m\dot{v}&=&mg-\frac{1}{2}\rho C_DAv^2 \\ y(t)&=&y_0+v_0t-\frac{v_\infty^2}{g} \end{aligned} | \begin{align} m\dot{v}&=mg-\frac{1}{2}\rho C_DAv^2 \\ y(t)&=y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align} | ||
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Vanishing Air Density: \rho \rightarrow 0 | |||
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Vanishing Drag Coefficient: C_D \rightarrow 0 |
Latest revision as of 11:41, 2 October 2024
Modeling the fall of objects by the laws of classical mechanics, including the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass.
Language | Label | Description | Also known as |
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English | Free Fall Equation (Air Drag) |
Modeling the fall of objects by the laws of classical mechanics, including the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass. |
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