@xijnnijx Exactly correct. Cooling the bands would allow them to lengthen on the opposite side to it would help shift the centre of mass even further from the axis creating a larger moment around the axis.
This is awesome! I work at a fast food restaurant (Paying my way through college to become an engineer =) ) and a friend and I were thinking about all of the heat that was being lost from the grill and said "There has got to be a way we could use that wasted energy"... I wonder... Anyways thanks for the video.
@osbiath Although heat is (energy) is always conserved, when ever you make it do work there is an increase in the total entropy of the system. The entropy is a measure of how much useful work the heat can perform. The only closed system is the universe as a whole and eventually all of the energy will no longer be able to do work because the system has reached it's maximum amount of entropy. This is known as a heat death and it is thought that this will be the ultimate fate of the universe.
@kaulas123456789 Well it works with heat. Since the lamp heats the rubber bands and they thereby expands and therefore carrying less weight than the other upper sit side. The fan side therefore falls down.
@kaulas123456789 The majority of the radiation coming from a filament lamp is in the infra red part of the spectrum. It is these wavelengths that will be doing the majority of the heating.
what about replaceing the rubberands with springs, and use magnets to contract them on one side instead of the light? since the light only act as a force, and not as energy source, the wheel turns because of a weight differential and not a temperature differential. of course the temperature differenial is what causes the weight to differentiate in momentum between sides. there is no heat exhange in it other than a transfer of energy. motion is not directy caused by the heat.
Great idea, but: using maybe 500 W lamp to get maybe 0,5 W from the axle...besides, the heat from the lamp could as well rotate a propeller assembly of some kind above the lamp better. To get the best results, this rubber should have maximum thermal expansion on the other side, and maximum contracting on the other. This, added with the necessary heat, makes huge stress to the rubber, and it is prone to age the rubber quite rapidly, I think.
Joule Effect: If a freely suspended rubber strip is loaded/stretched and subsequently heated, the strip will contract and lift the load. Conversely, an unloaded strip when heated expands to the coefficient of expansion for that rubber.
This phenomenon of contraction is termed the Joule effect and occurs only when heating a stretched rubber object.
Just as an fyi, if you used all darker rubber bands, you'll have a much smoother rotation. That could be the reason for the delay after the initial rotation.... when it's all yellow rubber bands in the light, having started with mostly darker bands in the light. And yes, rubber bands *contract* with energy due to the polymer bonding within. Nice work!
That's not the problem, it's the reason it works. If the rubber bands were pre-heated, the temperature differential would be less, leading to poorer performance. The best solution would be to intentionally cool the bands 180° away from the heat source.
when you heat the rubber bands they expand letting the rubberband on the otherside pull the ring off center ,which happens to become the heavy side ,gravity turns the wheel
Almost, but backwards! When you heat a rubber band it actually contracts! You can test this by hanging a weight from a rubber band and bringing a flame close to it.
So what's happening here is the bands under the lamp are contracting. Assuming that the axis of the wheel is fixed, then the parts of the tire connected to the contracting bands get pulled closer to the center. This moves the center of gravity of the wheel to the (screen) right of the axis, and so the wheel rotates!
@humperfier Indeed, making things cold does indeed make the majority of objects contract; but not rubber. Due to its polymeric structure, when you lengthen an elastic band you align the polymer fibres so they lay in the same direction. This corresponds to a lower state of entropy because it is more ordered. By removing heat from a material you lower its entropy. In the case of a rubber band, the lower entropy state is a longer, more aligned configuration.
nice.. i appreciate the effort and the idea and facts you imparted.. thanks.. because of this, i already have an idea on how to make my own improvised heat engine and will have something to submit for my physics project.. lotsathanks...
I guess then it would fall off the wheel. What I'm confused about is when rubberbands contract, they pull, causing the force being pulled towards the center of the wheel, how does that make the wheel spin? is it centripecal force or whatever its called?
When the rubber bands contract and pull the center harder, the center of gravity is not anymore where the axis is. The right side of the wheel is heavier and gravity pulls it down
Hm... stuff does not contract that well when heated. I rather think that the opposite side of the wheel, opposite to the side being heated, is allowed to pull the center of mass towards it. The rubber bands coming from the light source contract after chilling out in air.
you see the irony comment is a comment that has been posted on many free energy vids i called him an idiot cause this is nothing like that and you point about something cause i wasn't paying attention i doubt that was typed by mistake
Careful; frezzy11 asked _where to_ aim the lamp, not _what is_ the aim. I've already provided the correct answer for the question. Hope this clears up any confusion.
You aim the lamp so that only 1/2 of the exposed rubber bands are lit, so that only 1/2 of the bands are heated. The other 1/2 are allowed to cool, thus completing the cycle.
I'm also trying to make one using a bike wheel, but it was unbalanced. I'm going to try the video's method of Polystyrene. Any more tips would help! I'm trying to get this to spin a tad faster. Also, what type of rubberbands did you use and what is the wheel thickness?
I'm glad to hear that you are also trying to make the engine. I used several rubber loops which have 45mm diameter. You do not need to use pants rubber bands, its too thick and too strong in this case. Thickness of the wheel is 5mm.
In order to make the wheel you must write two circles on a polystiren board and put 16 marks dividing equally the circles. This is a geometrical problem. You may find how to divide a circle into 16 arcs by using a compass in your mathmatics or geometry books. If you can't find it, you can also use a protractor.
You need 8 rubber band loops and their diameter is apploximately 4 cm. You should hook the rubber bands carefully otherwise the wheel will be broken because of a weakness of the polystiren board. You must put all of the rubber bands symmetrically.
After you put the wheel on the pedestal, try to rotate it using your finger. If the wheel cannot rotate smoothly, it seems that weight balance of the wheel is bad. You can fix it using tiny metal wires for weight balance putting them on outside of the wheel.
Remember that a sorce of power of the engine is the moving of the center of mass away from the center of rotation. I hope you can understand my poor English but if you have more questions, ask me anything again! Good Luck!
Thank you, however, my brothers wheel is not moving. He came up with the idea from a book and used different materials than you. He used a wooden hoop that is only 9 inches in diameter and it does not appear to be able to move smoothly around a wooden dowel. Your comment on making sure that the wheel is balanced may be our problem. Could there be something else we are doing wrong?
The point is that weight deviations of the wheel must be eliminated. If you can see pendulum swung of the wheel, you may put counter balance (small metal films or something) on a top of the wheel to offset mass deviation at the bottom of the wheel.
I wonder if you could isolate two different sections 180 degrees on the wheel. Line it with two different materials which have a high difference in specific heat temperature, creating 1 area of cool, and one of warm, like copper and wool, just a thought. We know that most materials settle at different temperatures in a room temperature environment.
Now I think that your comment is very understandable but the wbeaty's idea is more realistic solution to enhance the weel rotation. I will be very happy if the engine works effectively in spite of a small temperature difference.
Maybe i can use some metal material for the wheel , which have high heat conductivity like copper or alminium. The point is to enhance the heat transfer more effectively from the lump to enviroment through the rubber bands.
Or make a heat pump! Turn it with a gearmotor, pump air across it, and rotate an air-valve-hole which routes the air only across the cold bands (or across only the hot bands.)
I just discovered something while using a thermal camera to observe rubber bands. When stretching/contracting a rubber band, all the big thermal change occurs very near maximum stretch.
So, motor torque should greatly increase if bands and motor diameter are chosen so bands are nearly at maximum length. Pull HARD and they get hot, let them cool at maximum stretch, then relax a little and the get very cold.
i used a polystyrene sheet with 5mm in thickness for my heat engine because it is very light and easy to be cut. First a hoop was quarried out from the sheet. A piano wire was used for the shaft. i glued four plastic small beads on the wire using a quick-drying glue. Then i hooked rubber bands between the hoop and the shaft. you must hook them to keep force balance otherwise the hoop will be broken by the strong tension of the rubber bands!
Nice job. To optimize, maybe use sunlight (slightly concentrated if needed) to heat the engine? Black rubber bands. Shield the rest of the rubber bands from light.
Thank you for your comment. That's nice idea. I also think that it is very important to make temperature difference between left-side and right-side of the engine.
so if you had something to cool it on the other side, would it be able to spin faster?
xijnnijx 3 months ago
@xijnnijx Exactly correct. Cooling the bands would allow them to lengthen on the opposite side to it would help shift the centre of mass even further from the axis creating a larger moment around the axis.
st1cklebr1ck 2 months ago
Rubber Band Heat Engine is very good video
Measonz 7 months ago
This is awesome! I work at a fast food restaurant (Paying my way through college to become an engineer =) ) and a friend and I were thinking about all of the heat that was being lost from the grill and said "There has got to be a way we could use that wasted energy"... I wonder... Anyways thanks for the video.
osbiath 10 months ago
@osbiath Although heat is (energy) is always conserved, when ever you make it do work there is an increase in the total entropy of the system. The entropy is a measure of how much useful work the heat can perform. The only closed system is the universe as a whole and eventually all of the energy will no longer be able to do work because the system has reached it's maximum amount of entropy. This is known as a heat death and it is thought that this will be the ultimate fate of the universe.
st1cklebr1ck 2 months ago
Mate....
a lump is something you hope not to find, I think you mean to say LAMP.
komaki119 10 months ago
very cool :)
neverquit250 11 months ago
how it works with light?
kaulas123456789 1 year ago
@kaulas123456789 Well it works with heat. Since the lamp heats the rubber bands and they thereby expands and therefore carrying less weight than the other upper sit side. The fan side therefore falls down.
TuringMech 11 months ago
@kaulas123456789 The majority of the radiation coming from a filament lamp is in the infra red part of the spectrum. It is these wavelengths that will be doing the majority of the heating.
st1cklebr1ck 2 months ago
what about replaceing the rubberands with springs, and use magnets to contract them on one side instead of the light? since the light only act as a force, and not as energy source, the wheel turns because of a weight differential and not a temperature differential. of course the temperature differenial is what causes the weight to differentiate in momentum between sides. there is no heat exhange in it other than a transfer of energy. motion is not directy caused by the heat.
coldarc 1 year ago
u could have used black rubber bands because they absorb more heat and it should been fast
saf768 1 year ago
will this work outside in te sun?
mjinen 1 year ago
@mjinen as long as you stop the sun radiating on half of the wheel, yes it will work.
st1cklebr1ck 2 months ago
Whats the title of the book he mentioned it in?
Philip614 1 year ago
The Feynman Lectures on Physics
checkmatedeepblue 1 year ago
@checkmatedeepblue when i saw this I instantly think abouth Feyneman idea about rubber engine :) thanks for making it!
scientificpages 8 months ago
Comment removed
Philip614 1 year ago
just for future reference, thats a LAMP, not a LUMP... i see you've misspelled it in several of your comments as well as your description
PattyMMelt 1 year ago
Thank you for your kind attention
checkmatedeepblue 1 year ago
@checkmatedeepblue
Hah, no problems. I was being a Grammar Nazi, but still glad that I could help. :3
PattyMMelt 1 year ago
Very interesting!
weblips 1 year ago
interesting concept? :D
superfunnyman123 1 year ago
that rubber should banned!
thetrolone 1 year ago
Great idea, but: using maybe 500 W lamp to get maybe 0,5 W from the axle...besides, the heat from the lamp could as well rotate a propeller assembly of some kind above the lamp better. To get the best results, this rubber should have maximum thermal expansion on the other side, and maximum contracting on the other. This, added with the necessary heat, makes huge stress to the rubber, and it is prone to age the rubber quite rapidly, I think.
schumispecial 1 year ago
Joule Effect: If a freely suspended rubber strip is loaded/stretched and subsequently heated, the strip will contract and lift the load. Conversely, an unloaded strip when heated expands to the coefficient of expansion for that rubber.
This phenomenon of contraction is termed the Joule effect and occurs only when heating a stretched rubber object.
kdober6 2 years ago
Just as an fyi, if you used all darker rubber bands, you'll have a much smoother rotation. That could be the reason for the delay after the initial rotation.... when it's all yellow rubber bands in the light, having started with mostly darker bands in the light. And yes, rubber bands *contract* with energy due to the polymer bonding within. Nice work!
nobiscuits4u 2 years ago
The least energy efficient engine ever, but smart ;)
heloizyjhenifer 2 years ago 6
the problem is that the next rubber is too cold so it takes time to heat it up.
anyway, it s cool!!
aragon89 2 years ago
That's not the problem, it's the reason it works. If the rubber bands were pre-heated, the temperature differential would be less, leading to poorer performance. The best solution would be to intentionally cool the bands 180° away from the heat source.
JonnyRawket 2 years ago
there's a fan in the back
NoiseyEagle2 2 years ago
thats not a fan its a stirling engine
HOPPERFZR 2 years ago
oh cool how does it work
NoiseyEagle2 2 years ago
when you heat the rubber bands they expand letting the rubberband on the otherside pull the ring off center ,which happens to become the heavy side ,gravity turns the wheel
HOPPERFZR 2 years ago
Almost, but backwards! When you heat a rubber band it actually contracts! You can test this by hanging a weight from a rubber band and bringing a flame close to it.
So what's happening here is the bands under the lamp are contracting. Assuming that the axis of the wheel is fixed, then the parts of the tire connected to the contracting bands get pulled closer to the center. This moves the center of gravity of the wheel to the (screen) right of the axis, and so the wheel rotates!
tuffpee 2 years ago 3
@tuffpee im pretty sure cold makes things contract, that is why when its cold you have to stretch your muscles more
humperfier 7 months ago
when it's cold you get increased electrical stimulation sent to your muscles to flex them to warm you up. its not contracting its twitching. sheesh
theledkid2 7 months ago
@humperfier Indeed, making things cold does indeed make the majority of objects contract; but not rubber. Due to its polymeric structure, when you lengthen an elastic band you align the polymer fibres so they lay in the same direction. This corresponds to a lower state of entropy because it is more ordered. By removing heat from a material you lower its entropy. In the case of a rubber band, the lower entropy state is a longer, more aligned configuration.
st1cklebr1ck 2 months ago
Nice dude, 5/5. It looks the most simple heat engine in the world. :) (Its not that I dislike, its so amazing.)
sleptlateistheworse 2 years ago
maybe if you put a fan on the other side to cool the bands it would work faster.
ollieoniel 2 years ago
How about sun light and lens?
navegente 2 years ago
Interesting, but it's the most inefficient motor EVER seen.
deaftodd 2 years ago
nice.. i appreciate the effort and the idea and facts you imparted.. thanks.. because of this, i already have an idea on how to make my own improvised heat engine and will have something to submit for my physics project.. lotsathanks...
princesskyuh 2 years ago
How many joules of heat energy were expended in getting the wheel to rotate exactly 1 turn? I think I would have rather had the heat.
klcflyer 2 years ago
Are you english?
roxasnriku1 2 years ago
If the rubberbands had a significant melting point then this thing could have done a lot of work.
well my question is what would happen if we're using a material that expands when heated?
pfc3 2 years ago 2
I guess then it would fall off the wheel. What I'm confused about is when rubberbands contract, they pull, causing the force being pulled towards the center of the wheel, how does that make the wheel spin? is it centripecal force or whatever its called?
pfc3 2 years ago
This has been flagged as spam show
you are moron
vidxa 2 years ago
When the rubber bands contract and pull the center harder, the center of gravity is not anymore where the axis is. The right side of the wheel is heavier and gravity pulls it down
Nasty0suicide 2 years ago
I was wondering how it worked, that's interesting.
Wcoltd 2 years ago
if it would expand instead of shrinking, the wheel would spin to the other direction
Nasty0suicide 2 years ago
what law does this demonstrate and how cant find too much on it
cardcutter 2 years ago
thats cool hows it work
ballsniff13 2 years ago
This has been flagged as spam show
read the fucking description you douche bag
AssassinXCV 2 years ago
holy fuck you dick lick you can at least be nice
ballsniff13 2 years ago
higher heat will help...not too high as to melt the rubber bands
gonitronow 2 years ago
Hm... stuff does not contract that well when heated. I rather think that the opposite side of the wheel, opposite to the side being heated, is allowed to pull the center of mass towards it. The rubber bands coming from the light source contract after chilling out in air.
Regards
Pudersepp 3 years ago
Comment removed
simple0simon 2 years ago
rubber is one of several materials that contracts whens heated
osterianio 2 years ago
That is bonkers! Talk about inefficient.
inspiring nonetheless :)
SmiertSpionem 3 years ago
haha genius!
nxc42 3 years ago
need supplies for your experiments?
contact me
smartstuff2buy 3 years ago
If you put independent axis for the whell and the rubber and diferent position this may work faster.
And the rubbers paint in black.
GAMBITBZ 3 years ago
you will be arrested for hacking the free energy out of the earth, i'm petitioning you now to the game managers
smartstuff2buy 3 years ago
your an idiot
Bonznumber1 3 years ago
I think you mean "you're"
NerdPuppet 3 years ago
OMG nitpick much?
Bonznumber1 3 years ago
There's a kind of irony in what you did, too bad you can't see that.
NerdPuppet 3 years ago 2
you see the irony comment is a comment that has been posted on many free energy vids i called him an idiot cause this is nothing like that and you point about something cause i wasn't paying attention i doubt that was typed by mistake
Bonznumber1 3 years ago
yoo, caynt .. spyll ; and yur gramur and and and pungchew aye) shun suks(.,/';
NerdPuppet 2 years ago
Enormous effeciency :-)))
Bukuzoid 3 years ago
ISNT IT L A M P NOT L U M P???? O_0
lollnessxD 3 years ago
I'm sure it will work outdoors too. On sunny days, cover half of it with a cut-out box to shade the other half.
rguerzo 3 years ago 2
that realy cool well need to try to make one of those my self
1crazyfocker 3 years ago
Are the rubberbands regular ones??
and where do you aim with the lamp
frezzy11 3 years ago
The rubber bands are quite regular ones in my country.
The aim of the lump is to heat rubber bands to contract them.
checkmatedeepblue 3 years ago
Careful; frezzy11 asked _where to_ aim the lamp, not _what is_ the aim. I've already provided the correct answer for the question. Hope this clears up any confusion.
hoser4 3 years ago
lol im guessing in ur country lamps r called lumps?
elie5252 3 years ago
@checkmatedeepblue y u say lump? its lamp
fishkeeping123 1 year ago
You aim the lamp so that only 1/2 of the exposed rubber bands are lit, so that only 1/2 of the bands are heated. The other 1/2 are allowed to cool, thus completing the cycle.
hoser4 3 years ago
What do you use to keep the rubberband in balance?
And how many Watt is the lamp?
westcaos 3 years ago
I put some small metal wire on the side of the wheel to keep it in balance. The lamp is about 20 Watt.
checkmatedeepblue 3 years ago
cool, you had a stirling engine, i love those
rocketcane 3 years ago
wouldn't the rubber bands be expanding? it would have the same effect obviously...
idontlikeyousomuch 3 years ago
rubber is one of those strange materials that contracts when it is heated, at least near room temperature.
pacogoatboy 3 years ago
I'm also trying to make one using a bike wheel, but it was unbalanced. I'm going to try the video's method of Polystyrene. Any more tips would help! I'm trying to get this to spin a tad faster. Also, what type of rubberbands did you use and what is the wheel thickness?
jakegreenjake 4 years ago
I'm glad to hear that you are also trying to make the engine. I used several rubber loops which have 45mm diameter. You do not need to use pants rubber bands, its too thick and too strong in this case. Thickness of the wheel is 5mm.
checkmatedeepblue 4 years ago
Hi everyone, I'll show you how to make the engine as follows.
The outside and inside diameters of the wheel are 16 and 12 centimeters, respectively. Note that 1 inch is equivalent to 2.54 centimeters (cm).
checkmatedeepblue 4 years ago
In order to make the wheel you must write two circles on a polystiren board and put 16 marks dividing equally the circles. This is a geometrical problem. You may find how to divide a circle into 16 arcs by using a compass in your mathmatics or geometry books. If you can't find it, you can also use a protractor.
checkmatedeepblue 4 years ago
You need 8 rubber band loops and their diameter is apploximately 4 cm. You should hook the rubber bands carefully otherwise the wheel will be broken because of a weakness of the polystiren board. You must put all of the rubber bands symmetrically.
checkmatedeepblue 4 years ago
After you put the wheel on the pedestal, try to rotate it using your finger. If the wheel cannot rotate smoothly, it seems that weight balance of the wheel is bad. You can fix it using tiny metal wires for weight balance putting them on outside of the wheel.
checkmatedeepblue 4 years ago
what do you use for an axle?
melissaxlove 4 years ago
I used a piano wire which has 1mm in diameter for the axle. :-D
checkmatedeepblue 4 years ago
You can also change the weight balance by shifting the rubber bands a little by hand.
If the wheel become to rotate smoothly, the engine will also works well.
checkmatedeepblue 4 years ago
Remember that a sorce of power of the engine is the moving of the center of mass away from the center of rotation. I hope you can understand my poor English but if you have more questions, ask me anything again! Good Luck!
checkmatedeepblue 4 years ago
My brother is doing this science fair project.
what type of light is best for this to work and what wattage does this have to be?
melissaxlove 4 years ago
Hi, i used a normal 40W lump.
checkmatedeepblue 4 years ago
Thank you, however, my brothers wheel is not moving. He came up with the idea from a book and used different materials than you. He used a wooden hoop that is only 9 inches in diameter and it does not appear to be able to move smoothly around a wooden dowel. Your comment on making sure that the wheel is balanced may be our problem. Could there be something else we are doing wrong?
melissaxlove 4 years ago
The point is that weight deviations of the wheel must be eliminated. If you can see pendulum swung of the wheel, you may put counter balance (small metal films or something) on a top of the wheel to offset mass deviation at the bottom of the wheel.
checkmatedeepblue 4 years ago
This is cool. Why does it work?
esserspace 4 years ago
Paint it black, it will pick up the heat much more effectively.
challenger159 4 years ago
Interesting. Have you tried large 0 rings, such as would be used in large-scale plumbing?
stopglobalswarming 4 years ago
No i have not tried yet. i like to use a polystyrene sheet to make the engine. its quite easy to cut them.
checkmatedeepblue 4 years ago
where do I get a polystyrene sheet?
melissaxlove 4 years ago
You might buy it from a online shop on the web.
checkmatedeepblue 4 years ago
It looks like the material he's using is what's commonly called "FoamCore" in the United States. You can get it at an art supply store.
tonyhursh 3 years ago
pants rubber is thin and round . Its material is
much better. It responds more forceful.
simi112 4 years ago
Thank you for your comment. I need much more harder materials for the wheel in order to use a pants rubber bands.
checkmatedeepblue 4 years ago
where do I get pants rubber bands
melissaxlove 4 years ago
Good job!
I think a pants rubber is much better. Try it!
simi112 4 years ago
I wonder if you could isolate two different sections 180 degrees on the wheel. Line it with two different materials which have a high difference in specific heat temperature, creating 1 area of cool, and one of warm, like copper and wool, just a thought. We know that most materials settle at different temperatures in a room temperature environment.
mutwa 4 years ago
Thank you for your comment :D
Now I think that your comment is very understandable but the wbeaty's idea is more realistic solution to enhance the weel rotation. I will be very happy if the engine works effectively in spite of a small temperature difference.
checkmatedeepblue 4 years ago
Maybe i can use some metal material for the wheel , which have high heat conductivity like copper or alminium. The point is to enhance the heat transfer more effectively from the lump to enviroment through the rubber bands.
checkmatedeepblue 4 years ago
Or make a heat pump! Turn it with a gearmotor, pump air across it, and rotate an air-valve-hole which routes the air only across the cold bands (or across only the hot bands.)
wbeaty 4 years ago
I just discovered something while using a thermal camera to observe rubber bands. When stretching/contracting a rubber band, all the big thermal change occurs very near maximum stretch.
So, motor torque should greatly increase if bands and motor diameter are chosen so bands are nearly at maximum length. Pull HARD and they get hot, let them cool at maximum stretch, then relax a little and the get very cold.
wbeaty 4 years ago
Wow you are quite right. I hope I will make my engine better some day using your nice theoretical advice.
checkmatedeepblue 4 years ago
Hey do you mind telling me how to do this
Kevl3lade 4 years ago
i used a polystyrene sheet with 5mm in thickness for my heat engine because it is very light and easy to be cut. First a hoop was quarried out from the sheet. A piano wire was used for the shaft. i glued four plastic small beads on the wire using a quick-drying glue. Then i hooked rubber bands between the hoop and the shaft. you must hook them to keep force balance otherwise the hoop will be broken by the strong tension of the rubber bands!
checkmatedeepblue 4 years ago
Nice job. To optimize, maybe use sunlight (slightly concentrated if needed) to heat the engine? Black rubber bands. Shield the rest of the rubber bands from light.
EinsteinVonRembrandt 4 years ago
Thank you for your comment. That's nice idea. I also think that it is very important to make temperature difference between left-side and right-side of the engine.
checkmatedeepblue 4 years ago
awesome ;)
hamsterpoop 4 years ago