All the big mid-drive motor manufacturers first take their mechanical motor peak power, and then divide it by 6.28 rad/s (it is 60 rpm) to get the torque figure. If the number is not satisfying for the e-bike manufacturer marketing department, the latter is advertising any number to make better sales.
For instance, Specialized gives 50, 70, and 90 Nm for their three motor models. In fact, the two weaker models have far higher torque than advertised (68 and 75 Nm). It is done to attract the buyers to choose the most expensive e-bike model. (The strongest motor is indeed 90 Nm).
I don't understand. I've never used a dynamometer, but I've read that the old ones measured torque with an adjustable brake with a spring attached to show how hard it was being pulled. Watching a tachometer, an engineer would increase throttle and braking until the brake was holding the full throttle engine at a certain speed. He'd plot that, then repeat the process for a different speed. I've read that nowadays, a computer can simply track the speed of a heavy wheel, calculating torque by its acceleration. If a dynamometer chart has torque and power, I don't know why engineers would have to calculate torque after looking at the power.
I don't understand why they would give the torque at peak power. For that matter, I don't understand Area 13's charts. Their computer dynamometer was made for gasoline engines, and that's what the charts look like. A DC motor's maximum torque coincides with maximum current, and that's at locked rotor, where there is no counter emf. It's a little different with an ebike motor because the controller limits current to a certain maximum, so maximum torque would be flat at low rpms, where the motor produces little power but, because it accepts the most current, consumes the most watts.
Do mid drive controllers make motors perform like gasoline engines? It's easy to estimate the torque of a hub motor. Find a grade it will climb at a crawl. Find your gross newtons (pounds x 4.54) multiply by the sine of the elevation angle. ( I like to call it the percent grade, but the percent is its cousin the tangent.) Multiply that by the axle height as a precent of a meter, and that's your Nm.
On lesser grades, it will speed up until the torque comes down to what the hill requires. In a low-speed situation with my loaded Abound, I needed 86 Nm. It accelerated so fast that I knew I probably had more than 100. On another grade, it accelerated to 17 mph. Multiplying my gross newtons by the grade, I found that I needed 96 Newtons of thrust to climb. Seventeen mph x 0.45 is 7.65 m/s. 96 N x 7.65 m/s = 734 Watts.
That's what the motor was putting on the tire for climbing, but at that speed it also had to fight significant air drag. On page 275, "Bicycling Science, Fourth Edition" says an upright rider needs 345 watts against air drag at 22 mph. It varies as the cube of speed. (17/22)^3 is .46. That would be 159 watts of air drag. Climbing watts and air drag watts would total 893 watts. If the motor was turning fast enough to be 80% efficient, it would have been consuming 1116 watts, with only 223 watts heating the motor.
893 / 7.65 = 117 newtons of thrust. My axle height, or wheel radius, is .27 meter. 117 newtons x .27 meter is 32 Nm of torque coming from the motor, perhaps a third of what it had produced at 5 mph, but 3 times more torque meant 3 times more current, squared to 9 times more heating.