Thanks for your help. The relationship that you pointed out is the only one I can come up with. Representing it in a more complex way doesn't seem like a good idea so I'll stick with the way I have it.
I've noted that these calculations ignore the mass of the station that would increase with...
Solving for ω in the centripital acceleration equation ac = rω², keeping ac constant 9.8m/s².
9.8 = rω²
solve for ω
ω = sqrt( 9.8 / r )
It's clear from the above that varying r will vary ω.
Am I incorrect?
It's maintaining a constant centripital acceleration of 9.8m/s^2 on the rim of the station.
So, the relationship between radius and angular velocity when this condition is true.
Homework Statement
I'm trying to create a graph showing the relationship between radius and angular velocity for a toriod space station that maintains a constant angular acceleration of Earth's gravity (9.8 m/s^s) on it's rim.
Homework Equations
ac = r\omega^2
The Attempt at a Solution...
A block slides down an inclined plane, here are the variables:
theta of incline = 37 degrees
mass of block = 10 kg
coefficient of kinetic friction = .500
applied force on block...