A huge wheel-spaced space station with a radius of 250 m. It spins about its center in order to simulate a sense of artificial gravity for people walking on its inside edge. People feel an apparent "gravity" equal to the magnitude of the centripetal acceleration at their location.
What must be the space station's period of rotation if people just inside the edge experience 9.8 m/s^2?
a) 9.8 seconds
b) 32 seconds
c) 49 seconds
d) 96 seconds
e) 650 seconds
f) 2450 seconds
Please can you show me how to solve this? No need for final answer, I just want to know how to set this up. Thank you
What must be the space station's period of rotation if people just inside the edge experience 9.8 m/s^2?
a) 9.8 seconds
b) 32 seconds
c) 49 seconds
d) 96 seconds
e) 650 seconds
f) 2450 seconds
Please can you show me how to solve this? No need for final answer, I just want to know how to set this up. Thank you
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The acceleration due to rotation is centripetal acceleration v^2/r. Set that equal to the desired value 9.8 m/sec^2 and solve for v.
The period is the time to go completely around, a distance of d = 2*pi*r at that speed. d = v*t, so t = d/v.
The period is the time to go completely around, a distance of d = 2*pi*r at that speed. d = v*t, so t = d/v.