183_notes:examples:relativemotion

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183_notes:examples:relativemotion [2014/07/11 13:02] – caballero183_notes:examples:relativemotion [2014/11/16 08:05] (current) – pwirving
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   * The velocities of the plane relative to the air, the air relative to the ground, and the plane relative to the ground are represented in the following diagram.   * The velocities of the plane relative to the air, the air relative to the ground, and the plane relative to the ground are represented in the following diagram.
-<WRAP todo>Add vector addition diagram</WRAP>+{{ 183_notes:planerelativemotion.png?350 }}
   * The relative velocity equation for three objects is: $\vec{v}_{A/C} = \vec{v}_{A/B} + \vec{v}_{B/C}$ where $\vec{v}_{A/C}$ is the velocity of object A with respect to object C, etc.    * The relative velocity equation for three objects is: $\vec{v}_{A/C} = \vec{v}_{A/B} + \vec{v}_{B/C}$ where $\vec{v}_{A/C}$ is the velocity of object A with respect to object C, etc. 
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 ==== Solution ==== ==== Solution ====
  
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 $$\theta = \tan^{-1} \left(\dfrac{|v_{a/g}|}{|v_{p/g}|}\right) = \tan^{-1} \left(\dfrac{10 \dfrac{m}{s}}{225 \dfrac{m}{s}}\right) = 2.5^{\circ}$$ $$\theta = \tan^{-1} \left(\dfrac{|v_{a/g}|}{|v_{p/g}|}\right) = \tan^{-1} \left(\dfrac{10 \dfrac{m}{s}}{225 \dfrac{m}{s}}\right) = 2.5^{\circ}$$
  
-which is 2.5$^{\circ}$ south of west or 182.5$^{\circ}$ from east measured counterclockwise.+which is 2.5$^{\circ}$ north of west or 177.5$^{\circ}$ from east measured counterclockwise. 
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  • 183_notes/examples/relativemotion.1405083755.txt.gz
  • Last modified: 2014/07/11 13:02
  • by caballero