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Synchronous Speed of Induction Motor given Efficiency Formula

GoSynchronous Speed in Induction Motor 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{N m}{η}

N_s - Synchronous Speed?N_m - Motor Speed?η - Efficiency?

Synchronous Speed of Induction Motor given Efficiency Example

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

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

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

15944.4444 = \frac{14350}{0.9}

15944.4444rev/min = \frac{14350rev/min}{0.9}

15944.4444 = \frac{14350}{0.9}

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Synchronous Speed of Induction Motor given Efficiency Solution

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

FIRST Step Consider the formula

N s = \frac{N m}{η}

Next Step Substitute values of Variables

∴

N s = \frac{14350rev/min}{0.9}

Next Step Convert Units

∴

N s = \frac{1502.7285rad/s}{0.9}

Next Step Prepare to Evaluate

∴

N s = \frac{1502.7285}{0.9}

Next Step Evaluate

∴

N s = 1669.69831765621rad/s

Next Step Convert to Output's Unit

∴

N s = 15944.4444444444rev/min

LAST Step Rounding Answer

∴

N s = 15944.4444rev/min

Synchronous Speed of Induction Motor given Efficiency 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

Motor Speed

Motor Speed is the speed of the rotor(motor).

Symbol: N_m

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Motor Speed

Efficiency

The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency

Other Formulas to find Synchronous Speed

Go Synchronous Speed in Induction Motor

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

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 of Induction Motor given Efficiency?

Synchronous Speed of Induction Motor given Efficiency evaluator uses Synchronous Speed = (Motor Speed)/(Efficiency) to evaluate the Synchronous Speed, Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates. Synchronous Speed is denoted by N_s symbol.

How to evaluate Synchronous Speed of Induction Motor given Efficiency using this online evaluator? To use this online evaluator for Synchronous Speed of Induction Motor given Efficiency, enter Motor Speed (N_m) & Efficiency (η) and hit the calculate button.

FAQs on Synchronous Speed of Induction Motor given Efficiency

What is the formula to find Synchronous Speed of Induction Motor given Efficiency?

The formula of Synchronous Speed of Induction Motor given Efficiency is expressed as Synchronous Speed = (Motor Speed)/(Efficiency). Here is an example- 152258.2 = (1502.72848589059)/(0.9).

How to calculate Synchronous Speed of Induction Motor given Efficiency?

With Motor Speed (N_m) & Efficiency (η) we can find Synchronous Speed of Induction Motor given Efficiency using the formula - Synchronous Speed = (Motor Speed)/(Efficiency).

What are the other ways to Calculate Synchronous Speed?

Here are the different ways to Calculate Synchronous Speed-

Synchronous Speed=(120*Frequency)/(Number of Poles)

Can the Synchronous Speed of Induction Motor given Efficiency be negative?

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

Which unit is used to measure Synchronous Speed of Induction Motor given Efficiency?

Synchronous Speed of Induction Motor given Efficiency 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 Induction Motor given Efficiency can be measured.

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