- #1

- 37

- 0

## 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.