Free Fall Equation (Air Drag) (Q3836): Difference between revisions

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@@ Property / defining formula @@
+ $m \dot{v} = m g - \frac{1}{2} ρ C_{D} A v^{2}$ 
m\dot{v}=mg-\frac{1}{2}\rho C_DAv^2
+Normal rank
@@ Property / defining formula @@
+ $y (t) = y_{0} + v_{0} t - \frac{v_{\infty}^{2}}{g} \ln \cosh (\frac{g t}{v_{\infty}})$ 
y(t)=y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right)
+Normal rank
@@ Property / in defining formula @@
+ $v$ 
v
@@ Property / in defining formula: $v$ / rank @@
+Normal rank
@@ Property / in defining formula: $v$ / qualifier @@
+symbol represents: Free Fall Velocity
@@ Property / in defining formula @@
+ $m$ 
m
@@ Property / in defining formula: $m$ / rank @@
+Normal rank
@@ Property / in defining formula: $m$ / qualifier @@
+symbol represents: Free Fall Mass
@@ Property / in defining formula @@
+ $g$ 
g
@@ Property / in defining formula: $g$ / rank @@
+Normal rank
@@ Property / in defining formula: $g$ / qualifier @@
+symbol represents: Gravitational Acceleration
@@ Property / in defining formula @@
+ $ρ$ 
\rho
@@ Property / in defining formula: $ρ$ / rank @@
+Normal rank
@@ Property / in defining formula: $ρ$ / qualifier @@
+symbol represents: Q3851 (Deleted Item)
@@ Property / in defining formula @@
+ $C_{D}$ 
C_D
@@ Property / in defining formula: $C_{D}$ / rank @@
+Normal rank
@@ Property / in defining formula: $C_{D}$ / qualifier @@
+symbol represents: Drag Coefficient
@@ Property / in defining formula @@
+ $A$ 
A
@@ Property / in defining formula: $A$ / rank @@
+Normal rank
@@ Property / in defining formula: $A$ / qualifier @@
+symbol represents: Cross Section
@@ Property / in defining formula @@
+ $v_{0}$ 
v_0
@@ Property / in defining formula: $v_{0}$ / rank @@
+Normal rank
@@ Property / in defining formula: $v_{0}$ / qualifier @@
+symbol represents: Free Fall Initial Velocity
@@ Property / in defining formula @@
+ $v_{\infty}$ 
v_\infty
@@ Property / in defining formula: $v_{\infty}$ / rank @@
+Normal rank
@@ Property / in defining formula: $v_{\infty}$ / qualifier @@
+symbol represents: Free Fall Terminal Velocity
@@ Property / in defining formula @@
+ $t$ 
t
@@ Property / in defining formula: $t$ / rank @@
+Normal rank
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: Q3846 (Deleted Item)
@@ Property / in defining formula @@
+ $y$ 
y
@@ Property / in defining formula: $y$ / rank @@
+Normal rank
@@ Property / in defining formula: $y$ / qualifier @@
+symbol represents: Free Fall Height
@@ Property / in defining formula @@
+ $y_{0}$ 
y_0
@@ Property / in defining formula: $y_{0}$ / rank @@
+Normal rank
@@ Property / in defining formula: $y_{0}$ / qualifier @@
+symbol represents: Free Fall Initial Height
@@ Property / Wikidata QID @@
+Q38083707
@@ Property / Wikidata QID: Q38083707 / rank @@
+Normal rank
@@ Property / community @@
+MathModDB
@@ Property / community: MathModDB / rank @@
+Normal rank
@@ Property / P842 (Deleted Property) @@
+Amount 0
Unit 1
 Property P842 not found, cannot determine the data type to use.
 Amount
 Unit
+Normal rank
@@ Property / P853 (Deleted Property) @@
+The value is invalid and cannot be displayed. Property P853 not found, cannot determine the data type to use.
+Normal rank
+Vanishing Air Density:  $ρ \to 0$ 
\rho \rightarrow 0
+Vanishing Drag Coefficient:  $C_{D} \to 0$ 
C_D \rightarrow 0

Revision as of 15:22, 30 September 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
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.