Question

Rotating Space Stations. One problem for hamans living in outer space is thut they are apparently weightless. One way around this problem is to design s space station that spins ubout its center at a constunt rute. This creates "artificial gravity" at the outsiderim of the station. (a) If the diameter of the space station is $800 \mathrm{~m}$, how many revolutions per minule are needed for the "artificial grivity" acceleration to be $9.80 \mathrm{~m} / \mathrm{s}^{2}$ ? (b) If the space station is a waiting arca for travelers going to Mars, it might be desirable to simulute the accelexation due to gravity on the Martian surface $\left(3.70 \mathrm{~m} / \mathrm{s}^{2}\right)$. How many revolutions per minute are needed in this case?

          Rotating Space Stations. One problem for hamans living in outer space is thut they are apparently weightless. One way around this problem is to design s space station that spins ubout its center at a constunt rute. This creates "artificial gravity" at the outsiderim of the station. (a) If the diameter of the space station is $800 \mathrm{~m}$, how many revolutions per minule are needed for the "artificial grivity" acceleration to be $9.80 \mathrm{~m} / \mathrm{s}^{2}$ ? (b) If the space station is a waiting arca for travelers going to Mars, it might be desirable to simulute the accelexation due to gravity on the Martian surface $\left(3.70 \mathrm{~m} / \mathrm{s}^{2}\right)$. How many revolutions per minute are needed in this case?

Added by Christopher T.

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