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Some or many of you may recall the 'Rainbow Math' post which calculates how many gs Rainbow Dash pulls while turning on a dime to save Rarity and the Wonderbolts in the episode 'Sonic Rainboom While not incorrect, the original post only accounts for vertical acceleration (against gravity) and not the horizontal: meaning she would just come to a stop. This means that her radial (turning) acceleration direction. The actual acceleration is just an average, externally viewed rate at which she changes speed. is actually different and that the vertical acceleration is only a component thereof. 3.) g force is an acceleration relative to gravity (~9.81 m/s 2), meaning all the acceleration that Dash actually FEELS during her insane turn is relative to gravity being the only force acting on her. Gravity acts on her in the -y direction, and she accelerates with force A, which has a component in the +y The acceleration she feels is from force A, which has a greater acceleration than the actual acceleration in order to overcome gravity tl:dr Recalculating the G-force on Rainbow Dash from the episode 'Sonic Rainboom' as if she is turning and not just stopping; with 20% more physics and diagrams drawn in ten seconds flat tl:dr Complicated manure about g force. RD accelerates against gravity so what she feels is one g gravity is taken to be in the -y direction). クAg 1.) We assume the following: RD enters her very brief turn at the speed of sound (~340 m/s) going straight down (vertical), and comes out of it at the speed of sound horizontally. We use the original assumption of distance over which she accelerates against gravity: 5 meters. However, we will also assume she accelerates horizontally over this distance as well. If her turn is a quarter-circle path, it will have a radius of 5 meters. tlhdr Basically same conditions as before. A : 1179 니 17 , 4.) Now we just find the magnitude of A using the components we calculated and the Pythagorean theorem tl dr Math. 2.) The actual acceleration Dash undergoes is just a function of her initial speed, final speed, displacement. To get the total acceleration we need to calculate the components thereof. Her initial vertical velocity is in the -y direction with a magnitude of 340 m/s, her final speed in the y direction is zero, and her displacement is 5 meters in the -y direction (so -5 m). Her initial horizontal speed is zero, her final horizontal velocity is 340 m/s in the +x direction, and her displacement is 5 meters in the +x direction. There you have it. Rainbow Dash averaged 1670 g during her turn. The reason this is an average is because if it were a constant 1670 g turn, it would be a very brief impulse; in reality her acceleration would rise rapidly from zero, reach a much higher peak (but wouldn't sustain it), and drop off. tl dr Physics and Math and manure to calculate acceleration. 1670 g is close to the acceleration of a projectile in the barrel of a space gun (1800 g), a theoretical method for launching cargo, supplies, or satellites into space. 0 tl:dr Rainbow Dash pulled 1670 g and is a physics defying badass. (A 13-10 a 5m

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Uploaded by Darren the Foxcoon May 31, 2011 at 11:32AM EDT

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Origin Entry: My Little Pony: Friendship is Magic

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Uploaded May 31, 2011 at 11:32AM EDT

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My Little Pony: Friendship is Magic

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