Not quite. On our typical hub motors the power output in Watts rises with revs and at around half to two thirds revs the power reaches it's maximum and then starts to decline up to maximum revs.
The torque, which is the pulling force, does the opposite, it starts at maximum at zero revs, but as it reaches the half revs mark it's starting to fall and continues to decline.
It follows that at around about half speed or a little over, the torque is still high and coincides with the motor reaching almost maximum power, and that is the optimum climb speed for the motor, typically around 7 to 9 mph on legal hub motor e-bikes.
The motor efficiency is a different matter, the efficiency rises with revs up to the optimum at about 80 to 90% of revs. In other words, at low speeds up to that hill climb speed point the efficiency is low and consumption very high. From that optimum climb speed onwards the efficiency rises steadily and reaches it's maximum at about 13/14 mph on legal hub motor e-bikes, giving the lowest consumption.
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