Armature Core Length using Output Equation Formula

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Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding. Check FAQs
La=PoCo(ac)1000Da2Ns
La - Armature Core Length?Po - Output Power?Co(ac) - Output Coefficient AC?Da - Armature Diameter?Ns - Synchronous Speed?

Armature Core Length using Output Equation Example

With values
With units
Only example

Here is how the Armature Core Length using Output Equation equation looks like with Values.

Here is how the Armature Core Length using Output Equation equation looks like with Units.

Here is how the Armature Core Length using Output Equation equation looks like.

0.2996Edit=600Edit0.85Edit10000.5Edit21500Edit
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Armature Core Length using Output Equation Solution

Follow our step by step solution on how to calculate Armature Core Length using Output Equation?

FIRST Step Consider the formula
La=PoCo(ac)1000Da2Ns
Next Step Substitute values of Variables
La=600kW0.8510000.5m21500rev/s
Next Step Convert Units
La=600000W0.8510000.5m29424.778rad/s
Next Step Prepare to Evaluate
La=6000000.8510000.529424.778
Next Step Evaluate
La=0.299585775247059m
LAST Step Rounding Answer
La=0.2996m

Armature Core Length using Output Equation Formula Elements

Variables
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: La
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: Po
Measurement: PowerUnit: kW
Note: Value should be greater than 0.
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: Co(ac)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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: Da
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: Ns
Measurement: Angular VelocityUnit: rev/s
Note: Value should be greater than 0.

Other formulas in Mechanical Parameters category

​Go Armature Diameter using Output Equation
Da=PoCo(ac)1000NsLa
​Go Number of Damper Bars
nd=θ0.8Ys
​Go Diameter of Damper Bar
Dd=4Adπ
​Go Cross Sectional Area of Damper Winding
σd=Adnd

How to Evaluate Armature Core Length using Output Equation?

Armature Core Length using Output Equation evaluator uses Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed) to evaluate the Armature Core Length, The Armature core length using output equation formula is defined as the total length of the armature core of any given electrical machine. The armature core length in an electrical machine can be determined using the output equation. The output equation relates the machine's output power to various design parameters, including the armature core length. Armature Core Length is denoted by La symbol.

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

FAQs on Armature Core Length using Output Equation

What is the formula to find Armature Core Length using Output Equation?
The formula of Armature Core Length using Output Equation is expressed as Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed). Here is an example- 0.299586 = 600000/(0.85*1000*0.5^2*9424.77796028944).
How to calculate Armature Core Length using Output Equation?
With Output Power (Po), Output Coefficient AC (Co(ac)), Armature Diameter (Da) & Synchronous Speed (Ns) we can find Armature Core Length using Output Equation using the formula - Armature Core Length = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Synchronous Speed).
Can the Armature Core Length using Output Equation be negative?
No, the Armature Core Length using Output Equation, measured in Length cannot be negative.
Which unit is used to measure Armature Core Length using Output Equation?
Armature Core Length using Output Equation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Armature Core Length using Output Equation can be measured.
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