Synchronous Speed using Output Equation Calculator

✖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.ⓘ Output Power [P_o]			+10% -10%
✖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).ⓘ Output Coefficient AC [C_o(ac)]			+10% -10%
✖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.ⓘ Armature Diameter [D_a]			+10% -10%
✖Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.ⓘ Armature Core Length [L_a]			+10% -10%

✖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.ⓘ Synchronous Speed using Output Equation [N_s]

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Synchronous Speed using Output Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
N_s = P_o/(C_o(ac)*1000*D_a^2*L_a)
This formula uses 5 Variables

Variables Used

Synchronous Speed - (Measured in Radian per Second) - 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.
Output Power - (Measured in Watt) - 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.
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).
Armature Diameter - (Measured in Meter) - 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.
Armature Core Length - (Measured in Meter) - Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

STEP 1: Convert Input(s) to Base Unit

Output Power: 600 Kilowatt --> 600000 Watt (Check conversion here)
Output Coefficient AC: 0.85 --> No Conversion Required
Armature Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Armature Core Length: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = P_o/(C_o(ac)*1000*D_a^2*L_a) --> 600000/(0.85*1000*0.5^2*0.3)

Evaluating ... ...

N_s = 9411.76470588235

STEP 3: Convert Result to Output's Unit

9411.76470588235 Radian per Second -->1497.92887623529 Revolution per Second (Check conversion here)

FINAL ANSWER

1497.92887623529 ≈ 1497.929 Revolution per Second <-- Synchronous Speed

(Calculation completed in 00.020 seconds)

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< Electrical Parameters Calculators

Specific Electric Loading

LaTeX Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)

Output Power of Synchronous Machine

LaTeX Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed

Specific Electric Loading using Output Coefficient AC

LaTeX Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)

Winding Factor using Output Coefficient AC

LaTeX Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)

Synchronous Speed using Output Equation Formula

LaTeX Go

Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
N_s = P_o/(C_o(ac)*1000*D_a^2*L_a)

What is synchronous speed and its formula?

The synchronous speed of an AC motor is determined by the frequency of the source and the number of poles. The RPM is calculated by multiplying the frequency times 60 and dividing by the number of pairs of poles.

How to Calculate Synchronous Speed using Output Equation?

Synchronous Speed using Output Equation calculator uses Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length) to calculate 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 calculate Synchronous Speed using Output Equation using this online calculator? To use this online calculator 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. Here is how the Synchronous Speed using Output Equation calculation can be explained with given input values -> 238.4028 = 600000/(0.85*1000*0.5^2*0.3).

FAQ

What is Synchronous Speed using Output Equation?

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 and is represented as N_s = P_o/(C_o(ac)*1000*D_a^2*L_a) or Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length). 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, 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), 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 & Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

How to calculate Synchronous Speed using Output Equation?

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 is calculated using Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length). To calculate Synchronous Speed using Output Equation, you need Output Power (P_o), Output Coefficient AC (C_o(ac)), Armature Diameter (D_a) & Armature Core Length (L_a). With our tool, you need to enter the respective value for Output Power, Output Coefficient AC, Armature Diameter & Armature Core Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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