Exercise
https://texercises.com/exercise/velocity-at-alggi-alp/
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\(\LaTeX\)
Älggi-Alp
Staycoolandbegood, , 2006, digital photograph, Wikipedia
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Exercise:
The geographical centre of Switzerland has the coordinates ang;;N and ang;;E and is called Älggi-Alp. How fast does a person standing there travel around Earth's rotational axis?

Solution:
Skz center tikzpicture drawdashed ---; drawthick --. nodeabove N; drawthick ----. nodebelow S; filldrawcolorred fillred!!white --. arc :adX:.--cycle; nodecolorred at adX/:. gamma; draw--+adX: nodemidway left R; drawdotted colorblue ---; drawvery thick colorblue circlecm; coordinate R at adX:; coordinate O at ; drawcolorgreen!!black R-- R -| O nodemidway below r; tikzpicture center % Geg gamma ang;;N a T h pf omega w % GesGeschwindigkeitvsi % The distance of Älggi-Alp to the Earth's rotational axis is SolQtyrRX*cosaXm al r Rcosphi R cosa r. The velocity of an object rotating with the Earth around it's axis therefore is: SolQtyvwX*rX al v omega r omega Rcosphi w r v
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\(\LaTeX\)-Code
Exercise:
The geographical centre of Switzerland has the coordinates ang;;N and ang;;E and is called Älggi-Alp. How fast does a person standing there travel around Earth's rotational axis?

Solution:
Skz center tikzpicture drawdashed ---; drawthick --. nodeabove N; drawthick ----. nodebelow S; filldrawcolorred fillred!!white --. arc :adX:.--cycle; nodecolorred at adX/:. gamma; draw--+adX: nodemidway left R; drawdotted colorblue ---; drawvery thick colorblue circlecm; coordinate R at adX:; coordinate O at ; drawcolorgreen!!black R-- R -| O nodemidway below r; tikzpicture center % Geg gamma ang;;N a T h pf omega w % GesGeschwindigkeitvsi % The distance of Älggi-Alp to the Earth's rotational axis is SolQtyrRX*cosaXm al r Rcosphi R cosa r. The velocity of an object rotating with the Earth around it's axis therefore is: SolQtyvwX*rX al v omega r omega Rcosphi w r v
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Attributes & Decorations
Tags
circle, circular motion, mechanics, physics, switzerland, älggi
Content image
Älggi-Alp
Difficulty
(1, default)
Points
1 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link