Set up circuit to apply a small voltage to the armature nodes. Place a small sense resistor (of about 1/10 an ohm) to the circuit. Measure the voltage across the sense resistor to get a feel for the motor's time constant.
Remember, Time Constant = L/R
The time constant is how long it will take to get to 63% of final value.
The other way to measure inductance is with an inductance bridge. See Adam Perkins for this.
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