Induction Motor Slip
\[s=\frac{N_s-N_r}{N_s}\]

Variables

sslip
Nssynchronous speed (rpm)
Nrrotor speed (rpm)

Description

What is this formula?


The induction motor slip equation calculates the relative difference between synchronous speed and actual rotor speed.


When to use it


Use this formula when analyzing induction motor performance, estimating torque production, evaluating motor loading, and troubleshooting electrical machines.


Example


An induction motor has:


Synchronous speed = 1800 rpm


Rotor speed = 1740 rpm


Formula:


s = (Ns - Nr) / Ns


Substitution:


s = (1800 - 1740) / 1800


Result:


s = 0.0333


s = 3.33%


Applications


Induction motor analysis


Motor performance evaluation


Torque estimation


Variable-frequency drive systems


Electrical machine diagnostics


Note


Slip is normally expressed as a fraction or percentage. In standard induction motors operating near rated load, slip is typically between 1% and 6%. The exact value depends on motor design, load conditions, and operating characteristics.

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