I have an old Oxygen Ebike with a rear hub motor. The bike is nearly worn out. I bought it second hand before lock-down and have had lots of fun out of it. But so many things needing replacing that I have decided to convert a new mountain bike to electric. I will be using it off road so centre mounted motor will give me more torque for hill climbing. But then it occurred to me that I had no idea what the torque of my existing motor was, so that I could get some sense of what improvement I will get. My existing rear hub motor is a Barfang 8FUN. Marked as 250W and 36V. Can anyone help with an approximate figure please?
Whichever of the many different motors Oxygen used, the torque is not much determined by the motor. It's determined by the current from the controller, which in your case is probably 15 amps. That's not particularly high, and your motor could have handled a lot more.
A crank motor's torque is sort of unspecified because it has nothing to do with how much torque you get at the wheel, which is determined by the gearing. The torque figures given by the manufacturers is pretty well meaningless, though different values for different motors from the same manufacturer can be used for comparison.
You can get all the torque you need from a hub-motor, even the one you already have. The main advantage of a crank-motor is the more central mass that gives better control on tight windy trails, and it allows suspension to work better because of the lower unsprung mass in the wheel. It's extra torque only becomes useful for exceptionally steep hills, so if you want to do serious off-road stuff, a crank motor is more or less mandatory..
What I'm trying to say is that if you want to do proper off-road stuff, get a crank motor. Any one should be sufficient. you should look at power rather than torque. Power is basically amps times volts, so a 48v motor will give 30% more climbing power than a 36v one with the same current. If you have a lot of power, you can always turn it down, but if you don't have enough, you can't turn it up. on the other hand, if your problem is that your bike is just lacking in power for some hills, you can easily solve that with a new controller and/or a 48v battery. If you went up to 48v and 20A, your torque would double and your bike would still be legal.