I want to use a motor to generate musical tones by spinning a disk. The disk will have optically printed sound waves on it.
I would like to know how fast the motor will be able to change speed from one note to another.
The motor will be driven by 3 phase variable frequency drive.
So for example how fast will it be able to double its rpm from 100 to 200 if I instantaneously double the drive frequency?
We can ignore the inertia of the disk for now because I don't know it yet. It would be good to just know a general way to solve this problem, then I calculate for a different inertia.
The motor I am thinking of using is 3 phase brushless slotless type
From the data sheet
Speed/torque gradient 5.21 rpm/mNm
Nominal torque (max. continuous torque) 94.6 mNm
Nominal voltage 24v
Nominal current (Max continuous current) 7.58A Stall torque 3220 mNm
Rotor inertia 33.3 gcm²
Torque constant 13.6 mNm/A
Speed constant 700 rpm/V
Mechanical time constant 1.82 ms