Bike lights can be powered by multiple forms of power. The most common type of light is battery powered and that is easiest to install. Another type of bike light is solar powered during the day and shows light at night.
If the lights are powered by a generator driven by the wheel, then you get more power from the generator the faster the wheels spin.
Charles Fritt created a solar powered led lights.
You can get just about any kind of lights for bikes. What used to be most common was lamps with bulbs powered by a small "bottle" dynamo that pressed against the tire. Today the most common sort is probably battery powered diode lights. But you can also have dynamos integrated into the hub, halogen bulbs and even battery operated HID lights for high performance applications.
Bicycles are powered by legs, however dirt bikes have gasoline powered motor!
Just get a regular battery powered diode rear light for a bike, and figure out a way to attach it to your trailer. No need for a trailer-specific light.
Bike is short for bicycle, and can either refer to a motorcycle, or a human-powered, pedal-driven bicycle.
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The "Gossamer Albatross" was a human powered airplane that was driven by pedals.
For a human-powered bike? None.
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Cateye sells a variety of high tech products, and its bike lights are designed to be small, light and bright, perfect for evening or early morning bike riders.