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There was a video of an Olympic cyclist powering a toaster with a bike. He wan't able to keep it up enough to toast one piece properly.

I was super in to cycling a while ago and I was only able to average 200w over an hour but thats not quite accurate because I was going super hard and then taking rests every 20mins which stops the clock.

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That’s a bad demo, as toast takes high power for a very short time.

Just about any human in decent health could probably cycle long enough (with effort) to charge a battery to provide the requisite energy (over the course of, say, 30 minutes) and then output that energy at high power to toast over 3-4 minutes.

I don't think thats much of an improvement. If it takes you 30 minutes to power a single appliance for 3 minutes its not a very useful idea.

This is the video: https://www.youtube.com/watch?v=S4O5voOCqAQ Spoiler: the toast gets toasted

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