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Synchronous Speed of Synchronous Motor Formula

GoSynchronous Speed of Synchronous Motor given Mechanical Power 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}{P}

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

Synchronous Speed of Synchronous Motor Example

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

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

Here is how the Synchronous Speed of Synchronous Motor equation looks like.

23300.2837 = \frac{120 \cdot 61}{3}

23300.2837rev/min = \frac{120 \cdot 61Hz}{3}

23300.2837 = \frac{120 \cdot 61}{3}

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Synchronous Speed of Synchronous Motor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N s = \frac{120 \cdot 61Hz}{3}

Next Step Prepare to Evaluate

∴

N s = \frac{120 \cdot 61}{3}

Next Step Evaluate

∴

N s = 2440rad/s

Next Step Convert to Output's Unit

∴

N s = 23300.28366984rev/min

LAST Step Rounding Answer

∴

N s = 23300.2837rev/min

Synchronous Speed of Synchronous 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 Poles is defined as the total number of poles present in any electrical machine.

Symbol: P

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 Synchronous Motor given Mechanical Power

N s = \frac{P m}{τ g}

Other formulas in Speed category

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

How to Evaluate Synchronous Speed of Synchronous Motor?

Synchronous Speed of Synchronous Motor evaluator uses Synchronous Speed = (120*Frequency)/Number of Poles to evaluate the Synchronous Speed, The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current. Synchronous Speed is denoted by N_s symbol.

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

FAQs on Synchronous Speed of Synchronous Motor

What is the formula to find Synchronous Speed of Synchronous Motor?

The formula of Synchronous Speed of Synchronous Motor is expressed as Synchronous Speed = (120*Frequency)/Number of Poles. Here is an example- 222501.3 = (120*61)/3.

How to calculate Synchronous Speed of Synchronous Motor?

With Frequency (f) & Number of Poles (P) we can find Synchronous Speed of Synchronous 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=Mechanical Power/Gross Torque

Can the Synchronous Speed of Synchronous Motor be negative?

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

Which unit is used to measure Synchronous Speed of Synchronous Motor?

Synchronous Speed of Synchronous 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 of Synchronous Motor can be measured.

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