Or, if you only know the RPM, you can calculate the max torque that you could get at that speed with 1000W, and choose a motor based around that.
Also, given you have the 24V board, can you adjust your power supply to slightly below 24V?
I normally recommend the 56V board for 24V applications - the 24V is a maximum limit - you can destroy the board with about 26V, so you don’t have much headroom for control and braking.
So at 10k rpm and 1Nm that happens to be almost exactly 1kW of mechanical power (1047W)
To make the most of your power supply, you’ll want something that produces about 20V back-EMF at 10k RPM i.e. Kv ~= 500.
e.g. you can buy a version of the ODrive standard 5065 motor wound for kv500 instead of 270. APS 5065 Outrunner brushless motor 500KV 2200W (note that this is NOT a dual-shaft motor, so you’ll need some way of attaching your encoder)
Any motor with EMF constant approx Kv500 and a power rating of >1kW should work for you.
It’s also possible to convert Kv from rpm/V to Nm/A - it depends if you are using industrial motors or hobby motors. Industrial motors tend to be specified in Nm/A, whereas hobby motors are specified in no-load rpm/V