How do DC motor parameters scale with motor size?

Question

Consider the following DC motor parameters:

Rotor resistance, $R [Omega]$
Motor constant, $k_t [mathrm{V/rpm}]$
Inertia, $I [mathrm{kgcdot m^2]}$

How do they scale with motor size? Do $R$ and $k_t$ depend on $I$?

John · Answer

Your described motor constant = peak voltage / rotational speed under no load. The latter decreases if your motor resistance increases. Inertia is obviously going to increase with a thicker shaft.

How do DC motor parameters scale with motor size?

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