NapkinCalc

AC Motors

Shaft torque

continues from lesson 3 — values defined earlier in the course stay live here

Power is torque times rotational speed: P = T·ω. Same power at half the speed means TWICE the torque — why low-rpm motors are physically bigger.

ωm:=2πnrotor/(60s)\omega _{m} := 2 * \pi * n_{rotor} / (60 s) = 182.21 Hz mechanical angular speed (rad/s)
Tshaft=PshaftωmT_{shaft} = \frac{P_{shaft}}{\omega_{m}} = 41.161 J full-load torque (N·m)
2 / (x / 0.2 + 0.2 / x)
0.20.40.60.80.20.40.60.81

torque vs slip (Kloss curve, breakdown at s = 0.2) — motors run on the steep left edge