NASA Nick is building a wheel-shaped space station. He wants it to rotate about its center with a period equal to the Earth’s rotation (24hrs) and he wants it to simulate the Earth’s gravity (1g). What radius and speed would the space station need to have?

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NASA Nick is building a wheel-shaped space station. He wants it to rotate about its center with a period equal to the Earth’s rotation (24hrs) and he wants it to simulate the Earth’s gravity (1g). What radius and speed would the space station need to have?

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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you can easily find this by knowing the mass of the earth and the distance of satellite from the center of the earth.
1. The centripetal force of spinning wheel space station will follow the equation for the tension in a string twirled with a weight on: F = mv^2/r 2. Divide both sides by the mass and you have g = v^2/r 3. An element of the outer arc is travelling at v= 2 pi r/T 4. Substitute into #2 with g=1 G, T=24 h. Solve for r. Substitute into #3 to find v. Don't forget to convert T to mks units.

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