- #1
PrideofPhilly
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Homework Statement
Part 1:
You want to design a large, permanent space station so that no artificial gravity is necessary. You decide to shape it like a large coffee can of radius 322 m and rotate it about its central axis. The acceleration of gravity is 9.8 m/s2. What rotation speed would be required to simulate gravity?
Part 2:
If an astronaut jogged in the direction of the rotation at 5 m/s, what is the simulated gravitational acceleration the astronaut would feel?
Homework Equations
a = v^2/r
ω = v/r
a = vω
The Attempt at a Solution
For Part 1:
9.8 = v^2/322 m
v^2 = 3155.6
v = 56.17472741 m/s
vω = v^2/r
ω = v/r
ω = (56.17472741 m/s)/(322 m)
ω = 0.174456 rad/s
For Part 2:
v = rω
I don't really know where to begin for this part.