John,
If ONLY he'd been around to set Newton straight......
I doubt that you can speak for Newton, if in in jest, Captain.
He would ignore your math, and roll his eyes at your logic.
John,
If ONLY he'd been around to set Newton straight......
What I meant is that the difference between running outside and running on a treadmill is certainly not nearly as large as humber appears to think. Wind speeds are unsteady, variable in direction and usually larger than run-of-the-mill jogging speed. So your running speed is almost like noise on your airspeed, or a bias at most. I thought I'd keep it simple to avoid injecting confusing tangents and details into the discussion. More importantly, for the fish in my fish wheel there is no difference at all.

The cart has zero KE in all frames
Don't you recognize this as a derivative of hyperbola![]()
Please explain how the system can be said to be isolated from the ground ( eg treadmill side) when the system that provides the energy (the motor) is common to ground. The KE of the cart would be from this source, and so measurable from the same ground. To deny that would be to deny the conservation of energy between frames. The KE should therefore appear to all observers.
Here, yet again, you are mixing up frames. [PYTHON]The bleedin' ground don't enter into it![/PYTHON] Items moving relative to the treadmill surface have KE relative to the treadmill surface. Glue a block to the treadmill surface, and it will smack the cart with the same KE that a cart moving at windspeed w.r.t. the ground would smack a wall that is stationary w.r.t. the ground.Also in the real world, there are no known examples of objects traveling w.r.t the ground that do not have KE, w.r.t the ground. The treadmill flatly contradicts nature and that is the reference.
in other words, if you have a windmill on your farm that generates a kilowatt of power in a 10 mph wind, if you mounted that windmill on a giant indoor treadmill and made the treadmill move at 10 mph, the windmill would still generate a kilowatt.
It would take a lot of power to move that treadmill, but the windmill doesn't know and doesn't care, either way it generates a kilowatt.
The cart is similar to the windmill. Whether you have it outside in a 10 mph wind, or you have in inside on a treadmill moving at 10 mph, the cart will behave teh same. It extracts power using the difference between the velocity of air versus velocity of inertial frame to keep the cart moving.
That you have to put a motor under the treadmill to make it move doesn't change the fact that as far as the windmill is concerned it gnerates a kilowatt or as far as the propeller cart is concerned it pushes itself forward.
By that reasoning, the speed of sound with a series of them. There is no power gain. That is a fact.humber, there are block-and-tackles that have mechanical advantages of 2, 3, 4, and up as far as you want. I'm trying to figure out why you couldn't have a parachute at the end of a block and tackle, pick one with enough pulleys, and end up having the chute move less than the speed of the wind due to innefficiency and whatnot, but have the block and tackle make up for that by have a 3-to1 or 4-to-1 ratio.
It's like the trick called 'Walking the dog'. So, yes.Also, I have a yes/no question for you. have you ever experimented with moving a yoyo along the ground by pulling on teh string so that the string wraps up under the axle?
If not, could you try it? ANd when you do, here's the next question: can you see that at any time, no matter how fast or how slow you pull the string, the yoyo is ALWAYS moving faster than you are pulling the string?
That the speed of the yoyo is equal to the speed of the string multiplied by some constant? The constant being the "gear ratio" you get between the diameter of the wheel versus the diameter fo teh axle the string wraps around?
It should only take you a minute or two to build a yoyo using paper plates, an empty soda can, string, and tape. Say the ratio is 4 to 1. If you pull the string 1 inch, the yoyo will move 4 inches. if you pull the string 20 inches, the yoyo moves 80 inches. Which then translates directly to speeds. If you pull hte string at .1 inch per second, the yoyo will move at .4 inch per second. If you pull the string at 10 inches per second, the yoyo moves at 40 inches per second.
at ANY TIME you move the string, the yoyo is ALWAYS moving faster than the string.
What do you think,Greg? The last post said no.So, at any time the parachute is pulling on the string, the yoyo is always moving faster than the chute.
So, if in a 10 mph wind, the chute will only move at 6 mph, then all you need to do is make the diameter of the axle versus the diameter of the wheel give you enough of a ratio so that pulling the string at 6 mph will move the yoyo at 10 mph.
Right? Are we both in agreement to this point?
Power. That is the critical difference, otherwise you could not only do as you say, and for the same reasoning, but even faster.If you're with me so far, then the only issue is that we need to account for the yoyo moving forward, and how it affects the speed of the parachute.
OK. But you are simply describing the simple arithmetic, and supporting metaphors, posited on the assumption that it will certainly happen.So, imagine supersizing the yoyo until its 6 feet in diameter or so. Put a shaft through the center, put it on bearings so the shaft just floats. From that shaft, hang a seat so you can ride along as the yoyo is rolling forward. you will see the ground go by underneath you at 12 mph. and you will see the rope coming towards you and getting wrapped up around the axle at 6 mph (or 4 or 8 or whatever).
Can you pedal a bike in top gear from standstill? Yes? Go higher. You could go to say 60kph in half a turn?. Why doesn't everything travel at windspeed?At ANY speed, you will see the ground move back faster than the rope moves towards you. slower than the wind or faster than the wind, it doesn't matter. THe ground is always moving faster than the rope.
A parachute will not get to windspeed. They are slower than balloons, and even almost ideal versions of those( lighter-than-air meteorological balloons) only come close, but even then because the work is very low, and 100% isWhen teh yoyo is moving at the speed of the wind, you won't feel any wind on your face sitting in your seat on the yoyo. But the parachute does. the ground is going by underneat you at teh speed of the wind, say 10 mph, and the chute is getting reeled in at some slower velocity, say 5 mph. You're sitting in your seat on the yoyo and you will see the chute coming towards you. So even though you don't feel teh wind because you're moving exactly at the speed of the wind, the parachute is getting reeled in by the axle, getting pulled towards you, and so the string pulls the yoyo forward.
In your seat, you don't feel any wind because the yoyo is rolling at 10 mph. But you see the parachute coming towards you because it is getting reeled in by the axle. Since you don't feel any wind, and since the parachute is moving relative to you, the parachute must feel wind.
Segways are an abomination.That doesn't matter if youre on a yoyo and a chute is tied to a rope, or if you're on a seqway and a friend of your is driving towards you on another seqway. If you're driving your segway at 10 mph, and you don't feel any wind, but you see your friend ALice coming towards you, you know she MUST feel wind on her face. The only way she cannot feel wind is if she's moving in formation with you at exactly the same speed adn direction as you, so that neither of you feel wind.
So, first of the last questions: Do you agree with the segway analogy above? That if you're moving, but don't feel wind, but if Alice is coming towards you, she must be feeling some wind?
Second, can you see that translating to you compared to the parachute? If you don't feel wind hanging from the yoyo as its moving forward, but the parachute is coming towards you, then it must feel some wind?
The belt is not necessary, so there can be no frame for the said observer, but wind is, and some of the conditions of travel can be emulated by the motion of a medium. One is enough, and for F1 cars and wind carts, it is the wind. This is contrary to your earlier statement that the wind was not necessary because of the belt. This is essentially the claim of the treadmill. How do you reconcile the lack of wind on the treadmill?
This stuff is not really correct Greg. If an inertial frame is "nothing more than a frame of reference moving at a fixed velocity", then what frame are you using to measure that velocity against. Can it be any old frame? I think not! And "if you're moving at a fixed velocity, you're in an inertial frame and that's all there is to it" is also incorrect. Let's say I'm fixed to a rotating surface and my frame of reference is rotating with that plane. My velocity is zero, but I'm certainly not in an inertial frame.KE has nothing to do with inertial frames. Inertial frames are nothing more than a frame of reference moving at a fixed velocity (fixed speed in a fixed direction). If you're moving at a fixed velocity, you're in an inertial frame and that's all there is to it.
So?KE has nothing to do with inertial frames. Inertial frames are nothing more than a frame of reference moving at a fixed velocity (fixed speed in a fixed direction). If you're moving at a fixed velocity, you're in an inertial frame and that's all there is to it.
Conservation of Energy holds across "frames". Motor proves that the energy source is in the ground frame, so that can be the datum. It is the source of the Ke, and so must flow from it and be measurable from the ground or any other frame.The motor is tied to the ground and moves the treadmill, certainly, but that has nothing to do with whether standing on the treadmill puts you in an inertial frame or not. ALl that is needed to be in an inertial frame is to be moving at a fixed velocity.
It is. Got another planet in mind?As for the kinetic energy being isolated from the ground or not, I assume someone has pointed out that neither the treadmill nor being outside in the wind is a closed system, right?
Velocity is not energy. Only the demand governs the consumption.The treadmill motor injects energy into the system by moving the treadmill belt in an enclosed room with no wind. This energy is equivalent to being outside with a wind at your back moving at whatever speed the treadmill was moving indoors.
Then you need 1kW wind power. That would come from the motor, but the overall efficiency would be poor ( See Carnot cycle). Better to connect the motor the the generator, or take the 1KW from the supply that runs the motor.in other words, if you have a windmill on your farm that generates a kilowatt of power in a 10 mph wind, if you mounted that windmill on a giant indoor treadmill and made the treadmill move at 10 mph, the windmill would still generate a kilowatt.
No, but there is no need to be careless.It would take a lot of power to move that treadmill, but the windmill doesn't know and doesn't care, either way it generates a kilowatt.
Prove that.The cart is similar to the windmill. Whether you have it outside in a 10 mph wind, or you have in inside on a treadmill moving at 10 mph, the cart will behave teh same. It extracts power using the difference between the velocity of air versus velocity of inertial frame to keep the cart moving.
Prove that, too.That you have to put a motor under the treadmill to make it move doesn't change the fact that as far as the windmill is concerned it gnerates a kilowatt or as far as the propeller cart is concerned it pushes itself forward.
So many ridiculous statements, so little time...
Here, yet again, you are mixing up frames. [PYTHON]The bleedin' ground don't enter into it![/PYTHON] Items moving relative to the treadmill surface have KE relative to the treadmill surface. Glue a block to the treadmill surface, and it will smack the cart with the same KE that a cart moving at windspeed w.r.t. the ground would smack a wall that is stationary w.r.t. the ground.
Tunny
I can knock down any arguments that you put forward.
Ready?
It's like the trick called 'Walking the dog'. So, yes.
A parachute will not get to windspeed. They are slower than balloons,
The cart is going 9mph in a 10mph wind? It how does the scale measure the force of the cart?How Monty Python-ish!
"Come back here you coward! I'll bite your ankles!" - or some such, I can't remember the exact line that the dismembered knight yells at King Arthur.
Your confidence is remarkable, humbre, considering you can't even do simple physics. Oh, here's a couple of questions that I asked quite a while ago, maybe you've had time to phone a friend:
"I will ask you to consider the following scenario that makes use of normal physics. Remember that the ground is considered to be flat and smooth.
A fishing reel with lots of line is attached by a scale to the ground. The other end of the fishing line is attached to a sail cart. The sail cart with a fishing line attached to it is released in a 10 mph wind. It reaches 9 mph, losing 1 mph because of rolling resistance.
This calculation is no possible without the actual data of the cart, otherwise all carts would be the same.You apply the brake on the fishing reel to slow the cart down to 8 mph and read the amount of pull (force) on the scale. Let's say it reads 100 grams. Based on these numbers, what is the rolling resistance of the cart when it is traveling at 9 mph in a 10 mph wind?
Show me your proof, and we can talk about that.Now you slow the cart to 6 mph. What is the reading on the scale now?"
My turn. Provide a method of measuring the cart's KE.Any answers yet humbre, or are you still stumped? (sorry about the bad pun but ...)
there are block-and-tackles that have mechanical advantages of 2, 3, 4, and up as far as you want
By that reasoning, the speed of sound with a series of them. There is no power gain. That is a fact.
That you have to put a motor under the treadmill to make it move doesn't change the fact that as far as the windmill is concerned it gnerates a kilowatt or as far as the propeller cart is concerned it pushes itself forward.
Prove that, too.
My turn. Provide a method of measuring the cart's KE.
Let's say I'm fixed to a rotating surface and my frame of reference is rotating with that plane. My velocity is zero, but I'm certainly not in an inertial frame.
Show me your proof, and we can talk about that.