# AC induction motor synchronous speed (Ns) Formula & Calculator

## Synchronous Speed (Ns) Calculation

Line Voltage Frequency (HZ)
No.of Poles

AC induction motor synchronous speed (Ns) calculator - step by step calculation, formula & solved example problem to determine the synchronous speed of an induction motor. Number of poles & line frequency are the key elements in this calculation.

## Formula

The below mathematical formula is used in this calculator to find the synchronous speed (Ns) of an induction motor

### Solved Example

The below step by step solved example problem may helpful for users to understand how the input values are being used in such calculations.
Example Problem
Find the synchronous speed (Ns) of an induction motor whose line frequency f = 140 Hz & number of poles p = 12?
Solution
The given data
f = 140 Hz
p = 12

Step by step calculation
Formula to find Ns = 120f/p
substitute the values in the formula
= (120 x 140)/12
ns = 1400 rpm

In the field of electrical engineering, the use of induction motor is high in demand. Since, in many situations users may require to find the synchronous speed to design an AC induction motor. The above formula, step by step calculation & solved example problem may be useful for users to understand how the values are being used in the formula to find the synchronous speed, however, when it comes to online for quick calculations, this calculator helps the user to perform & verify such calculations as quick as possible.

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