riley wrote:Imagine that the villain places a ball within the radius of the centrifuge, but not touching it.
Imagine that the villain places a ball within the radius of the centrifuge, but not touching it, and then throws it such that it is (initially at least) stationary relative to the wheel. That is, he throws it in the direction the wheel is spinning, at the same speed.
Discount the Earth's gravity, 'cause that'll just make it complicated, and that's not what we're looking at anyways.
So, from Bond's perspective, the ball is initially motionless (by "from Bond's perspective" I mean relative to him - from Bond's perspective, Bond and the centrifuge are both motionless, and the room is turning). From the villain's perspective, it'll move in a straight line towards the edge of the centrifuge, and then out into the universe.
From Bond's perspective, this path will be a curve through space. It starts motionless, but then starts moving directly towards the edge. This (apparent, from Bond's perspective) acceleration is caused by centrifugal force. The ball will continue accelerating towards the edge, but it will also curve in the opposite direction to the spin of the centrifuge - this (again, apparent) curve is caused by the Coriolis force.
It's important to note that nothing magical has happened here, and the fact that the centrifuge is spinning doesn't actually affect the ball's path. From any inertial reference frame, the ball will appear to be moving in a straight line. But when you trace the motion of the ball relative to the rotating wheel
, and look at the formulae you get, there is a centrifugal term and a Coriolis term in the equation of motion. This is what the comic refers to with the "rotating reference frame".
riley wrote: Just standing on the wheel would be uncomfortable because it would feel like your feet were constantly being pulled out from under you.
Actually it wouldn't, because you'd also be moving sideways at the same speed as the floor... the only force you'd feel would be the centripetal force needed to make you go around in a circle (or, from your point of view, the centrifugal force that looks like gravity).
Certainly, throwing a ball at someone 45Â° away on the wheel would be strange, but only because we're used to a situation where gravity is in effectively the same direction and magnitude everywhere. Not just because it'd be flying under the effects of centrifugal force rather than gravity.
As for the "centrifugal force is the indistinguishable from gravity" comment which is also being misunderstood... if it was possible (and it might be, I dunno) to set up a system such that the gravitational field was the same shape as the centrifugal forces in a rotating object - neutral in the centre, elsewhere pointing directly away from the centre and proportional to your distance... then the system would behave exactly the same way as if there were no gravity and it was simply rotating.
A point mass under the effects of centrifugal force will experience the same effects as a point mass under the effects of gravity.
It is only when you measure the force in several places and figure out the shape of the system that centrifugal forces are distinguishable from gravity.