// multi-utility computation suite · offline · instant · precise
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sci.induction-motor-slip-torque Calculator
Calculates induction motor slip s = (ωs−ω)/ωs, torque T = P/(ωs(1−s)), and efficiency from the equivalent circuit. Rated slip: 1–5% for standard induction motors — starting slip = 100%; at rated load, rotor speed is 95–99% of synchronous speed.
Inputs
V Line V
Electric potential difference (V). Drives current through a circuit. Household: 120 V (US) or 230 V (EU/UK).
F Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
P Poles
Count of items or occurrences.
R2 Ohm
Opposition to current flow (Ω). V = IR. Resistors in series add; in parallel their reciprocals add.
X2 Ohm
Reference formula or conversion factor shown for context.
S Slip
Reference formula or conversion factor shown for context.
Results
electromagnetic torque T_em (N·m)
Rotational force (N·m) = force × perpendicular lever arm. High torque at low RPM is ideal for hauling; high RPM suits high-speed applications.
air gap power P_ag (W)
Reference formula or conversion factor shown for context.
rotor copper loss P_cu (W)
The decrease or degradation from the baseline.
mechanical output power P_mech (W)
Sample size or count used in the calculation.
T_em = 3V²R₂/(s·ωs·[(R₂/s)²+X₂²])
Reference formula or conversion factor shown for context.
rotor efficiency
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.