"Have you considered the possibility that your interpretation could be wrong? "
Yes, but ask Spork.
I concur. Your interpretation is wrong.
"Have you considered the possibility that your interpretation could be wrong? "
Yes, but ask Spork.
Is there anything incorrect with these statements?
To travel at the speed of the wind the thrust of the propeller against still air must equal the rolling resistance of the wheels.
To travel at greater than the speed of the wind the thrust of the propeller against a headwind must be greater than the rolling resistance of the wheels.
Yes there is something incorrect. Correct would be:
To travel at any constant speed (be it less, the same or greater than that of the wind), the thrust produced by the propeller must be equal to the total loss of energy from the friction in the wheels and drag of the air on the cart.
I concur. Your interpretation is wrong.
The original proposition that something can be propelled downwind faster than the windspeed only sounds ridiculous because it has the effect of a trick question on the mind. We intuitively imagine a fixed sail pushing a kind of land yacht along. Clearly, it's not going to go faster than the wind. But it's not like that.
In one of the first posts there was a link to a discussion of an early version of the vehicle (link below), where a vital clue is given to understanding this: if the gears are reversed, it was said, the machine will even propel itself up wind. If you're having trouble getting your head round something being wind-powered faster than the wind downwind, just start imagining the most difficult opposite version - driving itself up wind!...
But what's strange about that? Try this idea on for size: you get a propeller on a frame that can move along another piece of framework, like a little trolley along a horizontal ladder, and you take a gear chain from it to a winch, or just a gear on the ladder. Now, add wind blowing on the prop, such that it turns the gear train, winding itself along the ladder in the opposite direction to the wind. If you're having difficulty thinking of the gears, just imagine the prop winding up a big rubber band, like in a toy plane. As the wind turns the prop, it will wind up the band, which will twist, get shorter, and pull the trolley closer to where it's attached - up wind.
ETA: Unfortunately, there's a problem with the band version, which is that energy is stored and will try to reverse the prop. The gears, however, could turn with only their friction being a slight hindrance. A screw thread would do it. You could fit a prop to a nut and make it screw itself along a bolt up wind no problem.
Now, what's so different between that and said vehicle driving itself up wind on wheels? Only that instead of a fixed, unslippable gear system wrenching it along the ladder, or a twisty bit of elastic pulling it along, it is driving its wheels, and there is potentially some slipping, but with rubber wheels on tarmac, not that much. It will depend on the weight, so that they are held in contact with the tarmac, and the efficiency and gear ratios and wind speeds would be important, but I imagine such a vehicle could even go directly against the wind as reported. DWFTTW is a doddle.
Another way to 'prove' it to yourself in imagination (the downwind version is easiest) is to remember that the propeller is gathering the energy of the wind. If you say that it can't work with one propeller, just imagine harnessing a much greater cross section of the wind round the vehicle - assuming you had infinitely strong and light materials you could have a square acre of props all being driven by the passing wind, all that power being delivered to that little frame at the bottom. Now imagine a rather light breeze. Our machine only needs to beat 1/4 mph. Still, with a vast area of props, you're going to be catching massive amounts of energy, and it's all going to end up at those wheels, and you'll be burning rubber.
ETA: that link again - it was actually via the mythbusters website, is http://www.ayrs.org/DWFTTW_from_Catalyst_N23_Jan_2006.pdf - see last few paragraphs.
Hm, this makes no sense to me. In that graph you're asking me to fill in the dots between moving treadmill at standstill, and moving at wind speed on the road; There are no dots between them; they are the same X; the windspeed X.That is the basis of the treadmill. It is said to be true, that dV is zero at windspeed. That is also the idea behind the 'van' tests.
The belt is moving at (-windspeed) leaving dV= 0 around the cart, so the cart is said to be moving at a (slightly) greater velocity than windspeed.
ETA:
I just noticed that text moved when actually displayed, so there is an X at (0,0) and at (windspeed,0)
It might, if the wind and belt were truly equivalent.
It could then be determined what actually happens at windspeed, rather than first assuming the conclusion. It could be moving at >windspeed, or a few cm/sec relative to the ground.
My question is if that if former assumption is valid, then there must be intermediate values between the other case of dV=0, that of standstill.
What a fascinating thread. I've just found it, haven't read much, it seems to be increasing in length faster than the speed of threads. I'm going to dive in with my penny's worth.
BIG EDIT: I've just realised I'm a dipstick. I'll leave the following just to prove it. I'm sure now it's wrong, and the claim is a hoax. I'm forgetting that down-wind, you're losing your source of power as you accelerate. Across or up wind that doesn't apply.
Read more of the thread John. You're assuming, like I did, that the propeller functions as a wind turbine, which it doesn't.What a fascinating thread. I've just found it, haven't read much, it seems to be increasing in length faster than the speed of threads. I'm going to dive in with my penny's worth.
BIG EDIT: I've just realised I'm a dipstick. I'll leave the following just to prove it. I'm sure now it's wrong, and the claim is a hoax. I'm forgetting that down-wind, you're losing your source of power as you accelerate. Across or up wind that doesn't apply.
No, I'm not surprised you had trouble. I'm sorry. I posted in haste, thinking that I had a sudden insight as to how this proposed machine could be wind-powered and run downwind faster than the wind powering it. Those were my bits that I put in quotes in a later edit, when I stopped and put the kettle on. I then realised I'd been had, or at least that I had made a fundamental mistake or two.Perhaps it's just me, but I had trouble deriving a conclusion from your posts.
I should be careful, having just made such a silly mistake, but at the moment I can't think of any other explanation. My guess is that it must be a fake.Do you believe that DDWFTTW is impossible and the demonstrations are a hoax?
What's it function as?Read more of the thread John. You're assuming, like I did, that the propeller functions as a wind turbine, which it doesn't.
I also would be eager to dispell a myth I keep seeing here that a sail-boat can tack at an angle to the wind faster than the wind speed.
I think common knowledge is in this case mistaken.That such is possible is common knowledge. Even humber wouldn't dispute that.
I think common knowledge is in this case mistaken.
I should be careful, having just made such a silly mistake, but at the moment I can't think of any other explanation. My guess is that it must be a fake.
I also would be eager to dispell a myth I keep seeing here that a sail-boat can tack at an angle to the wind faster than the wind speed. Surely that can't be right. There is even less reason to imagine a sailboat could go downwind faster than the wind, and across it at an angle it is just taking a reduced proportion of the velocity - it will be slower than it would racing downwind.
The treadmill experiments are another thing entirely - there there is clearly a big hefty source of power to the wheels in the form of an electric treadmill...
and the wheels are then driving the prop, I imagine, in the video I watched. Indeed, they would only do this if there were some resistance. The demonstrator made a big thing about the treadmill being angled, with the model driving itself up the slope, but if it weren't trying to roll down the slope with gravity, it would just travel along with the belt and fall off the end.
Hm, this makes no sense to me. In that graph you're asking me to fill in the dots between moving treadmill at standstill, and moving at wind speed on the road; There are no dots between them; they are the same X; the windspeed X.
If you compare standstill on the street with motion at windspeed on the street, then there is no X at (0,0), but at (0,windspeed).
If you compare standstill on a motionless treadmill with standstill on the street, you're comparing non-equivalent situations and can expect to see different behavior.
And lastly this: The equivalent to putting the cart on the street in a breeze is not putting the cart vertically down on a rolling treadmill. It's putting the cart on the treadmill while standing still on the rolling treadmill (don't try that at home), in which case the X at the beginning of the run is again (0,windspeed).
So how do you explain that there is no appropriate thrust on the treadmill?
Welcome to the discussion John.
Before you read the rest of this thread, how about entering into a bit of a wager? Since JREF probably frowns upon using it's site for gambling, this is what I propose we do...
Let the believers and non-believers put up equal sums of money to back their belief. We'll then enlist the services of the JREF staff to test the device to see if it performs as claimed. The losers pay their wager as a donation to JREF.
[As a bonus, if JREF can be convinced beforehand that the device must be violating the laws of physics in order to perform as claimed and therefore qualifies for the MDC, All parties will split the $1M prize money.]
The cart is certainly developing thrust on the treadmill. Consider a theoretical "perfect" rolling vehicle with no friction loss in the wheels and no resistance to the air. If you place it on the treadmill, it will stay there indefinitely with its wheels turning. A real cart, with friction losses in the wheels, will lose speed on the treadmill and move towards the back end. If the cart keeps at a constant speed on the treadmill, it means that it is developing thrust that compensates for the losses due to friction.