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You want to create a space station that is 50 meters in radius. If you want it to simulate Earth's gravitation, how fast must it go?

Respuesta :

Answer:

w = 0.196 rad / s

Explanation:

To generate an acceleration similar to that of the earth, the station's centripetal acceleration must be equal to the acceleration due to gravity.

               a_c = v² / r = w² r

               a_c = g

we substitute

               g = w² r

               w² = g / r

               w = [tex]\sqrt { \frac{g}{r} }[/tex]

       

let's calculate

               w = √9.8/50

               w = 0.196 rad / s

therefore the station must rotate at that angular velocity so that the acceleration in the outer wall is equal to the ratio of gravity