nebbian said...frant said...
I think that you might have to add a ratchet into the sytem to prevent the fifth wheel from rotating backwards. If it is able to rotate backwards then it will indeed drive the vehicle backwards. If it is prevented from rotating backwards the conveyor will push the whole craft forward starting the wheels in motion therefore driving the fifth wheel forward on the conveyor and we have our multiple of forward speed. The prop driven craft must have the propellor on a similar ratchet system. Otherwise the propellor would tend to rotate as a turbine (rotating in the wrong direction and driving the craft into the wind) However, I have a great advantage in being able to visualise this thanks to my dear fluid mechanics lecturer Professor Joubert. He brought a finely crafted wooden object into one of our final year fluid mechanics lectures and asked the class to 'explain' it. Took us ages to figure that what he had was not a propellor but in fact a turbine... the leading edge and airfoil sections are on backwards. Perhaps easy to visualise now with all the wind turbines around but it had us baffled.
I don't think it needs a ratchet at all...
An even simpler analogy is to have just a simple wheel, with a rod attached halfway between the centre and the radius.
Sit the wheel on the ground so that it's upright, and the attachment point is at its lowest point, with the rod horizontal.
Push on the rod.
The wheel will move faster than the rod (but only for a short distance... enough to demonstrate the principle anyway).
I drew up some sketches of how the thing works but can't seem to upload them so a verbal description is going to have to suffice.
1/ Take a threaded rod with a screw pitch of 1.
2/Build a cart so that the wheels rotate a nut instead of a propellor. Pitch of nut =1 and cart speed of 2 will rotate nut at omega=1.
3/ Push the cart from a fixed position on the cart with the rod at rod speed =1. The cart will move along at speed =1 and the nut will rotate at omega=0.5.
4/ Now engage the rod into the nut and push the rod at speed =1. The cart will move along at speed =2 by virtue of being pushed along by the rod at speed=1 and by virtue of the nut screwing along the rod at speed=1. ie the cart speed of 2 will rotate the nut at omega=1 and this will move the nut along the rod at speed =1.
In this case the rod is analogus to the wind and the cart the propellor driven craft. Change the gearing ratio of the nut and it will change the multiple of cart speed to rod/windspeed. Obviously there are practical friction and efficiency limitations to how many multiples of windspeed can be achieved in real life.
However. you still need a "ratchet" or some means of preventing the initial push of the rod in the nut, wind blowing the propellor backwards as a turbine, or just friction/inertia when starting the conveyor from rotating the nut, propellor or fifth wheel backwards and hence the craft going backwards at startup.
In the wheel/rod case you cite the actual physical arrangement acts as a "ratchet" ie if the resistance to the axle moving forward was greater than the resistance of the tyre on the road then the rod would rotate the wheel backwards and it would roll down the road backwards. Still not worth getting hung up on this bit cause after starting all will be good. so it is really a mute point.