I guess you don't mean you intend to use only 1 meter of wire?
Assuming you are winding with this wire onto a ceramic former with a helical track on it, if you had a need for a 500 watt heater at 120 volts, then the wire would have a resistance of (1202 / 500) or 28.8 ohms so you would need 28.8 / 1.7 meters of wire or 17 meters.
The problem with using dimmers is that they turn on fully when they do conduct, so the current into a short length of wire would get get large if only in brief pulses. This is very likely to damage the dimmer.
If you decided you could wind 300 turns onto this former, you could work out the diameter of the former easily.
You can get replacement elements for electric radiators, which are enclosed in a special glass cylinder for safety. Maybe this would be an easier option.