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Synchronous Speed in Induction Motor Formula

GoSynchronous Speed of Induction Motor given Efficiency Formula

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Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit. Check FAQs

N s = \frac{120 \cdot f}{n}

N_s - Synchronous Speed?f - Frequency?n - Number of Poles?

Synchronous Speed in Induction Motor Example

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Here is how the Synchronous Speed in Induction Motor equation looks like with Values.

Here is how the Synchronous Speed in Induction Motor equation looks like with Units.

Here is how the Synchronous Speed in Induction Motor equation looks like.

15641.7478 = \frac{120 \cdot 54.6}{4}

15641.7478rev/min = \frac{120 \cdot 54.6Hz}{4}

15641.7478 = \frac{120 \cdot 54.6}{4}

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Synchronous Speed in Induction Motor Solution

Follow our step by step solution on how to calculate Synchronous Speed in Induction Motor?

FIRST Step Consider the formula

N s = \frac{120 \cdot f}{n}

Next Step Substitute values of Variables

∴

N s = \frac{120 \cdot 54.6Hz}{4}

Next Step Prepare to Evaluate

∴

N s = \frac{120 \cdot 54.6}{4}

Next Step Evaluate

∴

N s = 1638rad/s

Next Step Convert to Output's Unit

∴

N s = 15641.747807868rev/min

LAST Step Rounding Answer

∴

N s = 15641.7478rev/min

Synchronous Speed in Induction Motor Formula Elements

Variables

Synchronous Speed

Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Synchronous Speed

Frequency

Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Number of Poles

Number of Polesis defined as the number of poles in an electrical machine for the flux generation.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Poles

Other Formulas to find Synchronous Speed

Go Synchronous Speed of Induction Motor given Efficiency

N s = \frac{N m}{η}

Other formulas in Speed category

Go Armature Current given Power in Induction Motor

I a = \frac{P out}{V a}

Go Field Current using Load Current in Induction Motor

I f = I a - I L

Go Load Current in Induction Motor

I L = I a - I f

Go Rotor Current in Induction Motor

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

How to Evaluate Synchronous Speed in Induction Motor?

Synchronous Speed in Induction Motor evaluator uses Synchronous Speed = (120*Frequency)/(Number of Poles) to evaluate the Synchronous Speed, Synchronous Speed in Induction Motor is the speed of the stator magnetic field in the three-phase induction motor. Synchronous Speed is denoted by N_s symbol.

How to evaluate Synchronous Speed in Induction Motor using this online evaluator? To use this online evaluator for Synchronous Speed in Induction Motor, enter Frequency (f) & Number of Poles (n) and hit the calculate button.

FAQs on Synchronous Speed in Induction Motor

What is the formula to find Synchronous Speed in Induction Motor?

The formula of Synchronous Speed in Induction Motor is expressed as Synchronous Speed = (120*Frequency)/(Number of Poles). Here is an example- 149367.7 = (120*54.6)/(4).

How to calculate Synchronous Speed in Induction Motor?

With Frequency (f) & Number of Poles (n) we can find Synchronous Speed in Induction Motor using the formula - Synchronous Speed = (120*Frequency)/(Number of Poles).

What are the other ways to Calculate Synchronous Speed?

Here are the different ways to Calculate Synchronous Speed-

Synchronous Speed=(Motor Speed)/(Efficiency)

Can the Synchronous Speed in Induction Motor be negative?

Yes, the Synchronous Speed in Induction Motor, measured in Angular Velocity can be negative.

Which unit is used to measure Synchronous Speed in Induction Motor?

Synchronous Speed in Induction Motor is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Synchronous Speed in Induction Motor can be measured.

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