How Fast Must an Astronaut Run in Skylab to Mimic Earth's Gravity?

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SUMMARY

The discussion centers on calculating the speed an astronaut must maintain while running in Skylab to simulate Earth's gravity. The key formula used is centripetal acceleration, expressed as v²/r = g, where g represents Earth's gravitational acceleration. The radius of Skylab is estimated to be approximately 3 meters, leading to the conclusion that the required speed can be calculated using v = sqrt(gr). It is emphasized that the correct terminology is centripetal acceleration, not centrifugal.

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  • Basic knowledge of gravitational acceleration (g = 9.81 m/s²)
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  • Concept of radius in circular motion
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Homework Statement



The attached videoclip shows footage from Skylab, launched in 1973, used during 1973-74, and in orbit until 1979. During the final seconds of the clip, you can see three astronauts exercising. One of them is running around the station. Estimate the speed that he should maintain, in order to feel as if he were running on earth...explain your reasoning and calculations


Homework Equations


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The Attempt at a Solution



idk, I'm really looking for how to set the problem up more than estimates. I tried this...really no idea if its right or not.

centrifugal acceleration = v^2 / r

= g (to feel like you are on earth)

So v = sqrt (gr)

and estimated radisu to be about 3m
 
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That looks right to me. The only thing wrong is your wording. It is centripetal acceleration not centrifugal.
 
Last edited:

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