Alpine drivetrain
Minimum e-bike speed at climbing
If the e-bike can still be pedalled at a good cadence, there will be a minimum climb speed depending on the ascent grade, the total system weight (rider, bike, and cargo), and total available power transferred to the rear wheel. In my case, the peak motor power is 520 W, and the Assist factor in Turbo is 3.2x. To max the motor out, I need to pedal at the leg power of 520 / 3.2 = 162.5 W. If necessary, I can input such a power for a relatively short climb. The total power will be around 680 W. The minimum e-bike speed at which most riders can still keep balance is 8 km/h (5 mph). Let us use
Bike Calculator.
The calculated e-bike speed on a 20% grade climb would be 8.3 km/h (manageable). Note: You must include the pannier weight into the bike weight!
Drivetrain calculation
We need to assume the cassette cannot be changed, and hopefully it is a mega-range one. Now, the only parameter to be calculated is the chainring size. Let us use
Bicycle Gear Calculator:
Given all other parameters fixed, the only free parameter is the chainring size. The 36T one should do in my case. (Actually, the breakpoint speed would occur at cadence 78, which is my natural one).