Motor Speed Calculator

Calculate AC induction motor synchronous speed, actual rotor speed from slip, VFD output speed control, and determine motor poles from nameplate data. Calibrated for South African 50 Hz Eskom grid supply.

Ns = 120f/pNr = Ns(1−s)Slip % = (Ns−Nr)/Ns×100VFD Speed Control50 Hz Eskom Supply

Motor Speed Calculations

Calculate synchronous speed of an AC induction motor from number of poles and supply frequency

South Africa (Eskom): 50 Hz

Standard Speeds (50 Hz)

PolesSync (rpm)Actual (rpm)Slip %
2-pole3000~29501.67
4-pole1500~14801.33
6-pole1000~9802.00
8-pole750~7302.67
10-pole600~5852.50
12-pole500~4902.00
16-pole375~3604.00
20-pole300~2903.33
24-pole250~2423.20

Eskom supply: 50 Hz. Actual speed at rated full load.

Formula Reference

Synchronous Speed

Ns = 120 × f / p

Actual Rotor Speed

Nr = Ns × (1 − s/100)

Motor Slip

Slip (%) = (Ns − Nr) / Ns × 100

VFD Output Speed

Ns_vfd = 120 × f_vfd / p

Angular Velocity

ω = 2π × n / 60 (rad/s)

South Africa Supply Freq.

f = 50 Hz (Eskom, IEC standard)

Frequently Asked Questions

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