Recent content by Bobski

The above isn't quite correct - it is the case that if the plane moves along the conveyor (without skidding /wheels locking) its wheels must have spun faster than the conveyor - that's why the question does not work if plane and conveyor are assumed to be travelling in opposite directions (the...

Unless you take opposite direction to relate to the direction of travel for the circumference of the wheel compared with the conveyor eg. plane moving right to left, wheels will rotate anticlockwise, circumference of wheel/wheel tread will be moving left-to-right at the point of contact with the...

The (logic) problem matching wheel speed to conveyor if they’re travelling in opposite directions is presumably why the OP framed the question how they did, adding a requirement that the conveyor’s movement counters the wheel rotation. As we’ve discussed before, conveyor moving in the opposite...

Guys.....thinking of starting a new thread. Any thoughts?

It's a very expensive way to reduce tyre wear :ROFLMAO:

Remeber these wheels are passive - the jet is accelerating as it pushes against the air behind it. The wheels are simply passive, like a dinky toy. If you break the plane's journey into sections it might make more sense. So if the jet engines engage and plane starts down conveyor at 1mph the...

It's the belt's movement that is preventing the wheels from rotating (this outcome is hardwired by the problem setter). If the belt were stationary, the wheels would be rotating extremely quickly as the plane accelerated along it..

Agreed, this isn't terminology that would be used outside of this specific problem. The puzzle writer presumably wanted a way to get across the fact that the conveyor acts to counteract the wheel rotation that would be otherwise occuring. It seems they went with using the direction of the...

Not quite. The belt is moving (it has to in order to counteract the wheel rotation that would otherwise be happening as the plane is accelerating). In fact, the conveyor will be accelerating at exactly the same rate as the plane (this is the only way to ensure the wheel rotation is perfectly...

Why does the conveyor have to run clockwise? The problem specifies that the conveyor counteracts the rotation of the wheels - so in the example of the plane moving from right to left with wheels rotating anticlockwise, the conveyor must move in such a way as to make the wheels rotate clockwise...

Here's why. From the initial problem: “The conveyor belt is programmed to match the speed of the plane’s wheels in the opposite direction, perfectly counteracting their rotation” Imagine plane is moving right to left. Its wheels will be rotating anti-clockwise i.e. the tyres will be moving from...

That's the problem - if the travolator increases its speed (and assuming no skidding etc) then that increase is also transmitted to the wheels. The wheels will always be going faster (as long as the toy is being pushed) and the travolator will be forever increasing its speed trying to catch up...

The scenario in the OP I believe is that the conveyor moves to counteract the rotation of the wheels ie. the conveyor moves inthe same direction as the jet. If so, then the discussions around what happens if the conveyor is moving in the opposite direction to the jet are not the same scenario...

Apologies - as stated, this was not relevant to the puzzle, but was a response to a question posed by Voyager EMH. To sumarise the puzzle as I see it - assuming the puzzle is written so that jet and treadmill travel in the same direction (which I believe it is) then the jet takes off as normal...

(just to clarify, this is not relevant to the OP problem). The displacement is the difference here. After pushing your dinky toy along the travolator it has moved a certain distance in a certain time ie. it has gained velocity. In order for this displacement to occur, the wheels must have...