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?

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 =

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

i don't know that i agree with that but what's the question ?

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2