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Synchronous Speed using Output Equation Formula

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Synchronous speed (rps) is a significant parameter for the rotating magnetic field-type AC motor. It is determined by the frequency and the number of magnetic poles. Check FAQs

N s = \frac{P o}{C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a}

N_s - Synchronous Speed?P_o - Output Power?C_o(ac) - Output Coefficient AC?D_a - Armature Diameter?L_a - Armature Core Length?

Synchronous Speed using Output Equation Example

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Here is how the Synchronous Speed using Output Equation equation looks like with Values.

Here is how the Synchronous Speed using Output Equation equation looks like with Units.

Here is how the Synchronous Speed using Output Equation equation looks like.

1497.9289 = \frac{600}{0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3}

1497.9289rev/s = \frac{600kW}{0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m}

1497.9289 = \frac{600}{0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3}

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Synchronous Speed using Output Equation Solution

Follow our step by step solution on how to calculate Synchronous Speed using Output Equation?

FIRST Step Consider the formula

N s = \frac{P o}{C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a}

Next Step Substitute values of Variables

∴

N s = \frac{600kW}{0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m}

Next Step Convert Units

∴

N s = \frac{600000W}{0.85 \cdot 1000 \cdot {0.5m}^{2} \cdot 0.3m}

Next Step Prepare to Evaluate

∴

N s = \frac{600000}{0.85 \cdot 1000 \cdot {0.5}^{2} \cdot 0.3}

Next Step Evaluate

∴

N s = 9411.76470588235rad/s

Next Step Convert to Output's Unit

∴

N s = 1497.92887623529rev/s

LAST Step Rounding Answer

∴

N s = 1497.9289rev/s

Synchronous Speed using Output Equation Formula Elements

Variables

Synchronous Speed

Synchronous speed (rps) is a significant parameter for the rotating magnetic field-type AC motor. It is determined by the frequency and the number of magnetic poles.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Synchronous Speed

Output Power

The output power of a synchronous machine refers to the electrical power that it can deliver or generate. It is the power that is transferred from the machine to an external load or system.

Symbol: P_o

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Output Power

Output Coefficient AC

Output coefficient AC is, Substitution of equations of electric loading and magnetic loadings in the power equation, we have, where C0 is called the output coefficient.(11 Bav q Kw η cos Φ x 10-3).

Symbol: C_o(ac)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Output Coefficient AC

Armature Diameter

Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators.

Symbol: D_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Diameter

Armature Core Length

Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Core Length

Other formulas in Electrical Parameters category

Go Specific Electric Loading

q av = \frac{I a \cdot Z}{π \cdot n || \cdot D a}

Go Specific Electric Loading using Output Coefficient AC

q av = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot K w}

Go Winding Factor using Output Coefficient AC

K w = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot q av}

Go Output Power of Synchronous Machine

P o = C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a \cdot N s

How to Evaluate Synchronous Speed using Output Equation?

Synchronous Speed using Output Equation evaluator uses Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length) to evaluate the Synchronous Speed, The Synchronous speed using output equation formula is defined the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine. Synchronous Speed is denoted by N_s symbol.

How to evaluate Synchronous Speed using Output Equation using this online evaluator? To use this online evaluator for Synchronous Speed using Output Equation, enter Output Power (P_o), Output Coefficient AC (C_o(ac)), Armature Diameter (D_a) & Armature Core Length (L_a) and hit the calculate button.

FAQs on Synchronous Speed using Output Equation

What is the formula to find Synchronous Speed using Output Equation?

The formula of Synchronous Speed using Output Equation is expressed as Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length). Here is an example- 238.4028 = 600000/(0.85*1000*0.5^2*0.3).

How to calculate Synchronous Speed using Output Equation?

With Output Power (P_o), Output Coefficient AC (C_o(ac)), Armature Diameter (D_a) & Armature Core Length (L_a) we can find Synchronous Speed using Output Equation using the formula - Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length).

Can the Synchronous Speed using Output Equation be negative?

No, the Synchronous Speed using Output Equation, measured in Angular Velocity cannot be negative.

Which unit is used to measure Synchronous Speed using Output Equation?

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

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Synchronous Speed using Output Equation Formula

Synchronous Speed using Output Equation Example

Synchronous Speed using Output Equation Solution

Synchronous Speed using Output Equation Formula Elements

Other formulas in Electrical Parameters category

How to Evaluate Synchronous Speed using Output Equation?

FAQs on Synchronous Speed using Output Equation

Variable Name