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Synchronous Speed of Synchronous Motor given Mechanical Power Formula

GoSynchronous Speed of Synchronous 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{P m}{τ g}

N_s - Synchronous Speed?P_m - Mechanical Power?τ_g - Gross Torque?

Synchronous Speed of Synchronous Motor given Mechanical Power Example

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

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

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

23303.4275 = \frac{593}{0.243}

23303.4275rev/min = \frac{593W}{0.243N*m}

23303.4275 = \frac{593}{0.243}

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Synchronous Speed of Synchronous Motor given Mechanical Power Solution

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

FIRST Step Consider the formula

N s = \frac{P m}{τ g}

Next Step Substitute values of Variables

∴

N s = \frac{593W}{0.243N*m}

Next Step Prepare to Evaluate

∴

N s = \frac{593}{0.243}

Next Step Evaluate

∴

N s = 2440.329218107rad/s

Next Step Convert to Output's Unit

∴

N s = 23303.4274711852rev/min

LAST Step Rounding Answer

∴

N s = 23303.4275rev/min

Synchronous Speed of Synchronous Motor given Mechanical Power 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

Mechanical Power

Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Mechanical Power

Gross Torque

Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.

Symbol: τ_g

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Gross Torque

Other Formulas to find Synchronous Speed

Go Synchronous Speed of Synchronous Motor

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

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 given Mechanical Power?

Synchronous Speed of Synchronous Motor given Mechanical Power evaluator uses Synchronous Speed = Mechanical Power/Gross Torque to evaluate the Synchronous Speed, The Synchronous Speed of Synchronous Motor given Mechanical Power 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 given Mechanical Power using this online evaluator? To use this online evaluator for Synchronous Speed of Synchronous Motor given Mechanical Power, enter Mechanical Power (P_m) & Gross Torque (τ_g) and hit the calculate button.

FAQs on Synchronous Speed of Synchronous Motor given Mechanical Power

What is the formula to find Synchronous Speed of Synchronous Motor given Mechanical Power?

The formula of Synchronous Speed of Synchronous Motor given Mechanical Power is expressed as Synchronous Speed = Mechanical Power/Gross Torque. Here is an example- 222531.3 = 593/0.243.

How to calculate Synchronous Speed of Synchronous Motor given Mechanical Power?

With Mechanical Power (P_m) & Gross Torque (τ_g) we can find Synchronous Speed of Synchronous Motor given Mechanical Power using the formula - Synchronous Speed = Mechanical Power/Gross Torque.

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 Synchronous Motor given Mechanical Power be negative?

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

Which unit is used to measure Synchronous Speed of Synchronous Motor given Mechanical Power?

Synchronous Speed of Synchronous Motor given Mechanical Power 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 given Mechanical Power can be measured.

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Synchronous Speed of Synchronous Motor given Mechanical Power Formula

​GoSynchronous Speed of Synchronous Motor Formula

Synchronous Speed of Synchronous Motor given Mechanical Power Example

Synchronous Speed of Synchronous Motor given Mechanical Power Solution

Synchronous Speed of Synchronous Motor given Mechanical Power Formula Elements

Other Formulas to find Synchronous Speed

Other formulas in Speed category

How to Evaluate Synchronous Speed of Synchronous Motor given Mechanical Power?

FAQs on Synchronous Speed of Synchronous Motor given Mechanical Power

Variable Name

GoSynchronous Speed of Synchronous Motor Formula