Louisiana Revised Statute R.S. 32:1(41) defines a motorized bicycle as a pedal bicycle which may be propelled by human power or helper motor, or by both, with a motor rated no more than one and one-half brake horsepower, a cylinder capacity not exceeding fifty cubic centimeters, an automatic transmission, and which produces a maximum design speed of no more than twenty-five miles per hour on a flat surface. Motorized bicycles falling within this definition must be registered and titled under Louisiana law. Additionally, a motorized bicycle operated upon Louisiana roadways or highways by a person fifteen years of age or older and producing more than five horsepower must possess a valid driver's license with a motorcycle endorsement and adhere to laws governing the operation of a motorcycle, including the wearing of approved eye protectors or a windshield and the wearing of a helmet. The statute also states that "Motorized bicycles such as pocket bikes and scooters that do not meet the requirements of this policy shall not be registered."
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I bought this bike from a dealer after extensive research on ebikes. The Elby is on par with European commuter ebikes at a better price point, you get a lot for your $ here. Elby is the complete package commuter: lights & a USB charger (for a phone or whatever) are integrated into the motor’s power supply and wired inside the frame. Rugged fenders have heavy-duty cross braces to attach baskets and whatnot. Thick Continental tires make for a comfy ride. The step-through frame is very convenient, built stout enough to carry me (200#) and two loaded baskets down hills and around curves with perfect stability. The motor on this bike is in the rear hub, and having it behind me makes it virtually soundless. The motor (BionX 500 watt) kicks in as soon as you start pedaling, but there is a
Faster e-bikes usually run at higher voltage. But higher voltage reduces range as well, because lower speeds are more efficient. So e-bikes running higher voltage will have less range unless significantly more battery capacity is added to compensate. This causes higher speed builds to be increasingly expensive for the same range that could be gotten from a slower e-bike. Therefore deciding on a build requires balancing several factors: Range, Speed, Cost, and Quality.
In Quebec power-assisted bicycles are often classified similarly to standard pedal bicycles. They do not have to meet the conditions defined within the Canadian Motor Vehicle Safety Regulations (they are not classed as "motor vehicles"), but they do have to comply with federal regulations that define Power Assisted Bicycles. The Quebec Highway Safety Code defines a power-assisted bicycle as a bicycle(2 or 3 wheels that touch the ground) with an electric motor with a maximum power of 500W and a top speed of 32 km/h bearing a specific compliance label permanently attached by the manufacturer[30]. PABs are permitted on the road in the province of Quebec, but riders have to be 14 and over to ride the electric bicycle and if they're under the age of 18, must have a moped or scooter license.
In the 1890s, electric bicycles were documented within various U.S. patents. For example, on 31 December 1895, Ogden Bolton Jr. was granted U.S. Patent 552,271 for a battery-powered bicycle with "6-pole brush-and-commutator direct current (DC) hub motor mounted in the rear wheel". There were no gears and the motor could draw up to 100 amperes (A) from a 10-volt battery.[5]
An electric bicycle also known as an e-bike is a bicycle with an integrated electric motor which can be used for propulsion. Many kinds of e-bikes are available worldwide, from e-bikes that only have a small motor to assist the rider's pedal-power (i.e., (pedelecs) to somewhat more powerful e-bikes which tend closer to moped-style functionality: all, however, retain the ability to be pedalled by the rider and are therefore not electric motorcycles.

From what we could tell from the launch photos, the bikes have 16x1 3/8-inch wheels, chain drive, an internally geared hub, and hydraulic disc brakes. They’re rounded out by full-coverage fenders, reflective-sidewall tires, ergonomic grips, a kickstand, and a bell. The company says the sleek, single-size aluminum frame fits riders between 5 feet and 6 feet tall.
"Electric power-assisted bicycle" means a vehicle that travels on not more than three wheels in contact with the ground and is equipped with (i) pedals that allow propulsion by human power and (ii) an electric motor with an input of no more than 1,000 watts that reduces the pedal effort required of the rider. For the purposes of Chapter 8 of this title, an electric power-assisted bicycle shall be a vehicle when operated on a highway.[65]

“Changes in production and consumption patterns are a crucial element of the sustainability agenda. Communication between product developers and users, and user integration in product development, can serve as a means for organizational as well as individual learning processes, resulting in sustainable product development. [...] Improved methods, such as INNOCOPE (innovating through consumer-integrated product development), tested in this study with a cycle manufacturer and resulting in a new product, a pedelec, are needed for effective communication, activating consumers and enabling them to promote sustainability goals. Through co-operative product development processes key factors facilitating and obstructing the adoption of sustainable innovations may be identified. Such processes can enhance the emergence and diffusion of sustainable product innovations and different forms and bodies of knowledge can be combined. Integrating users' contextual everyday knowledge of the product with the technical knowledge of companies may lead to mutual learning, technical innovations and changes in consumer behaviour.” (Hoffmann, 2007).
X-Treme is a very well-known distributor of electric scooters and electric bikes with really great customer service. They offer a number of great budget electric bikes, and one of them is Catalina Beach Cruiser. Powered by 500W rear hub motor, this e-bike can conquer almost any terrain. The frame of this bike is 100% hand-welded aluminum, with a step-though design. The top speed on this bike is about 20 mph, with the range of up to 60 miles on pedal-assist mode. The battery pack is 48V LiPo4. This e-bike is an absolute joy to ride. Even more now, with an all new zero resistance rear hub motor with an automatic clutch. This makes riding without power a breeze and you will feel no resistance from the motor. Seat is large and very comfortable, with dual springs for smooth ride. It also comes with a basket, which is a must have if you plan on going for groceries or running errands on this bike.
European Union directive 2002/24/EC exempts vehicles with the following definition from type approval: "Cycles with pedal assistance which are equipped with an auxiliary electric motor having a maximum continuous rated power of 0.25 kW, of which the output is progressively reduced and finally cut off as the vehicle reaches a speed of 25km/h (15.5mph) or if the cyclist stops pedaling." This is the de facto definition of an electrically assisted pedal cycle in the EU. As with all EU directives, individual member countries of the EU are left to implement the requirements in national legislation.
There's much less of a sensation of the Electrified S2 'fighting back' once you hit 15.5mph, as well. That's helped by the automatic 2-speed gear box, although this does take some getting used to. Because its cogs are very different sizes you can end up with all sorts of cadence problems as it auto-shifts from high back to low. With practice you can avoid this, or of course you could in theory fit a second cog that's closer in size to the first.