"Bicycles" and "Electric Bicycles" are legally defined in the Texas Transportation Code Chapter 551., titled "Operation of Bicycles, Mopeds, and Play Vehicles" in Subchapter A, B, C, and D. The following definition of electric bicycle was passed by the Texas legislature in 2001. "Electric bicycle" means a bicycle that is designed to be propelled by an electric motor, exclusively or in combination with the application of human power, cannot attain a speed of more than 20 miles per hour without the application of human power; and does not exceed a weight of 100 pounds. The department or a local authority may not prohibit the use of an electric bicycle on a highway that is used primarily by motor vehicles. The department or a local authority may prohibit the use of an electric bicycle on a highway used primarily by pedestrians.
I have been able to find ebikes of all speeds out in the wild and after years of riding and a reflective posture for the law, I see that lawmakers were thinking less about me and my practical wants as the user, and more about the mass motor vehicle driving public, their perceptions and expectations of ‘typical bicycle speeds’ on the roads and paths. So the laws were made to bicycle NORMS, not the potential performance limits for users.
There are two main categories when choosing an e-bike: a pre-built electric bike or a custom e-bike conversion. Prefab electric bikes come in a wide variety of setups and styles and are designed specifically as electric bicycles. With unique characteristics and design qualities, most meet the law requirements which limit power and speed. There is also a variety of options to choose from equipped with different design and different motor and battery configurations to suit different riding styles and preferences: cruisers, commuters, mountain bikes and more. Pre-built e-bikes are clean and sleek in design with all of the wiring and electrical components built directly into the bike. For most people, production e-bikes work great and there’s no need for a custom conversion.
E-bikes are classed according to the power that their electric motor can deliver and the control system, i.e., when and how the power from the motor is applied. Also the classification of e-bikes is complicated as much of the definition is due to legal reasons of what constitutes a bicycle and what constitutes a moped or motorcycle. As such, the classification of these e-bikes varies greatly across countries and local jurisdictions.
Beginning January 1, 2017, manufacturers and distributors of electric bicycles will be required to apply a label that is permanently affixed, in a prominent location, to each electric bicycle, indicating its class. Should a user "tamper with or modify" an electric bicycle, changing the speed capability, they must replace the label indicating the classification.
The federal Consumer Product Safety Act defines a "low speed electric bicycle" as a two or three wheeled vehicle with fully operable pedals, a top speed when powered solely by the motor under 20 mph (32 km/h) and an electric motor that produces less than 750 W (1.01 hp). The Act authorizes the Consumer Product Safety Commission to protect people who ride low-speed electric vehicles by issuing necessary safety regulations. The rules for e-bikes on public roads, sidewalks, and pathways are under state jurisdiction, and vary.
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.
I purchased version 2.0 of this device and the manufacturer has been listening to comments from users and making running changes such as the three speeds and the rear suspension. I am an XL size user (6'2", 230lbs) and recently returned from a 26 day cruise around Europe. I rode this little scooter on cobblestones, miles and miles through the Vatican, inside ancient cities and all over the streets of San Juan upon our return stateside. There was only one time it was less than ideal and that was going uphill, on slick tile that was wet from a drizzle. It still make it, just had to lean way forward to get weight on the front wheel.
Ontario is one of the last provinces in Canada to move toward legalizing power-assisted bicycles (PABs) for use on roads, even though they have been federally defined and completely legal in Canada since early 2001. In November 2005 "Bill 169" received royal assent allowing the Ministry of Transportation of Ontario (MTO) to place any vehicle on road. On October 4 2006 the Minister of Transportation for Ontario Donna Cansfield announced the Pilot Project allowing PABs which meet the federal standards definition for operation on road. PAB riders must follow the rules and regulations of a regular bicycles, wear an approved bicycle helmet and be at least 16 years or older. There are still a number of legal considerations for operating any bicycle in Ontario. 
DIY Kit ebikes – Ebikes that are home built with a DIY kit, and exceed the 750W/20mph definition, are also allowed to be bought, build, and ridden. DIY kits are throttle activated. Some of the newer systems have PAS options. Ebike kits are not unilaterally prohibited or assigned motor vehicle status, but again, legal classification and road use falls under state law.
I found that by sticking it on 'Turbo' or 'Sport' mode (the upper 2 of the 4 electrical assistance levels) and leaving it in a middle gear, the Centros felt zippy when in full flight, but able to pull away from the lights with no problems. Less lazy riders than me might want to actually use the 10 gears, and will find that in the top gear, it's quite easy to push past the mandated 15.5mph electrical limit.
During the course of its evolution, the Specialized Levo has helped shape the world of eMTBing. When it was introduced, it set the benchmark in riding dynamics and integration. Now Specialized has completely redesigned the bike and put it on 29″ wheels. The integration has been improved yet again, the battery capacity has been increased and the handling has been refined. We were thrilled with our first test ride. Anyone looking for a new bike next year for maximum trail performance should definitely take a closer look at the new Levo! We’re already looking forward to our big group test of the best bikes of 2019 early next year.
The Wavecrest Tidalforce M-750 was based on The original military experimental M-313 model. The M-313/M-750X was the first electric bike to be made and tested by Wavecrest Labs. It is based on a design developed for the Defense Advanced Research Projects Agency (DARPA) that was meant to allow zero-heat long distance troop movements for the United States Marine Corps in Afghanistan. The rear wheel in-hub motor and 36 volt/8ah front-hub battery were mounted onto a standard Montague Bicycles Paratrooper Bicycle frame. The 1000 watt rear hub motor had no set speed restriction, but was limited to about 25-32 (depending on load weight) MPH on a flat course. The distance the bike traveled on a single charge ranged from 15 miles (heavier load with no pedaling) to about 25 miles (vigorous assisted pedaling with less hill climbing).
On February 4, 2014, SB997 was introduced by Senator Matt Smith, which seeks to amend PA Vehicle Code to include "Pedalcycle with Electric Assist". In a memo addressed to all senate members, Smith said the definition shall include "bicycles equipped with an electric motor not exceeding 750 watts, weighing not more than 100 pounds, are capable of a maximum speed of not more than 20 mph, and have operable pedals."
In the United States electric bikes have seen slow but steady growth since the late 90’s and as a result, in 2001 congress was lobbied and passed the first and only bill to define ebikes in federal law. This law, 107-319, exempts electrified bicycles with operating pedals using motors under 750 watts limited to 20 mph from the legal definition of a motor vehicle.2.
However, each country is free to allow faster s-pedelecs if they go through collective or individual type approval. Typically, an S-Pedelec can be associated with "mofas" or "mopeds" or "light scooters". Germany has such a solution: S-pedelecs have max. 500W motors, max 45km/h, max 300% support, can drive up to 20Km/h without pedalling, plus other constraints regarding security, and are associated with Mopeds. In the City you can't use bicycles paths, but you can in the country side.
Electric-assisted bicycles are treated as human-powered bicycles, while bicycles capable of propulsion by electric power alone face additional registration and regulatory requirements as mopeds. Requirements include electric power generation by a motor that cannot be easily modified, along with a power assist mechanism that operates safely and smoothly. In December 2008, The assist ratio was updated as follow: