Discusses how the uniform circular motion of a space station can be used to crea

Question

Discusses how the uniform circular motion of a space station can be used to create "artificial" gravity for the astronauts. This can be done by adjusting the angular speed of the space station, so the centripetal acceleration at the astronaut's feet equals g, the magnitude of the acceleration due to gravity (see figure below). If such an adjustment is made, will the acceleration due to the "artificial" gravity be greater than, equal to, or less than g at the astronaut's head? less than equal to greater than This answer has not been graded yet.

Explanation / Answer

Less than

Becsuse his legs will be on the rim of the space ship it is farther from center

and his is nearer to the center

accelereation a =w^2 R ( since R is less for head a is less than g )

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