One problem for humans living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a constant rate. This creates “artificial gravity” at the outside rim of the station. (a) If the diameter of the space station is 800 m, how many revolutions per minute are needed for the “artificial gravity” acceleration to be 9.80 m/s2? (b) If the space station is a waiting area for travelers going to Mars, it might be desirable to simulate the acceleration due to gravity on the Martian surface 13.70 m/s22. How many revolutions per minute are needed in this case?

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One problem for humans living
in outer space is that they are apparently weightless. One way around
this problem is to design a space station that spins about its center at a
constant rate. This creates “artificial gravity” at the outside rim of the
station. (a) If the diameter of the space station is 800 m, how many revolutions
per minute are needed for the “artificial gravity” acceleration
to be 9.80 m/s2? (b) If the space station is a waiting area for travelers
going to Mars, it might be desirable to simulate the acceleration due to
gravity on the Martian surface 13.70 m/s22. How many revolutions per
minute are needed in this case?

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