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Armature Diameter using Output Equation Formula

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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. Check FAQs

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

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

Armature Diameter using Output Equation Example

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

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

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

0.4997 = \sqrt{\frac{600}{0.85 \cdot 1000 \cdot 1500 \cdot 0.3}}

0.4997m = \sqrt{\frac{600kW}{0.85 \cdot 1000 \cdot 1500rev/s \cdot 0.3m}}

0.4997 = \sqrt{\frac{600}{0.85 \cdot 1000 \cdot 1500 \cdot 0.3}}

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Armature Diameter using Output Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D a = \sqrt{\frac{600kW}{0.85 \cdot 1000 \cdot 1500rev/s \cdot 0.3m}}

Next Step Convert Units

∴

D a = \sqrt{\frac{600000W}{0.85 \cdot 1000 \cdot 9424.778rad/s \cdot 0.3m}}

Next Step Prepare to Evaluate

∴

D a = \sqrt{\frac{600000}{0.85 \cdot 1000 \cdot 9424.778 \cdot 0.3}}

Next Step Evaluate

∴

D a = 0.499654693469282m

LAST Step Rounding Answer

∴

D a = 0.4997m

Armature Diameter using Output Equation Formula Elements

Variables

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Mechanical Parameters category

Go Armature Core Length using Output Equation

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

Go Number of Damper Bars

n d = \frac{θ}{0.8 \cdot Y s}

Go Diameter of Damper Bar

D d = \sqrt{\frac{4 \cdot A d}{π}}

Go Cross Sectional Area of Damper Winding

σ d = \frac{A d}{n d}

How to Evaluate Armature Diameter using Output Equation?

Armature Diameter using Output Equation evaluator uses Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)) to evaluate the Armature Diameter, The Armature diameter using output equation formula helps in calculating length of the diameter of the armature of any electrical machine. The output equation relates the machine's output power to various design parameters, including the armature diameter. Armature Diameter is denoted by D_a symbol.

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

FAQs on Armature Diameter using Output Equation

What is the formula to find Armature Diameter using Output Equation?

The formula of Armature Diameter using Output Equation is expressed as Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)). Here is an example- 0.499655 = sqrt(600000/(0.85*1000*9424.77796028944*0.3)).

How to calculate Armature Diameter using Output Equation?

With Output Power (P_o), Output Coefficient AC (C_o(ac)), Synchronous Speed (N_s) & Armature Core Length (L_a) we can find Armature Diameter using Output Equation using the formula - Armature Diameter = sqrt(Output Power/(Output Coefficient AC*1000*Synchronous Speed*Armature Core Length)). This formula also uses Square Root (sqrt) function(s).

Can the Armature Diameter using Output Equation be negative?

No, the Armature Diameter using Output Equation, measured in Length cannot be negative.

Which unit is used to measure Armature Diameter using Output Equation?

Armature Diameter 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 Diameter using Output Equation can be measured.

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Armature Diameter using Output Equation Formula

Armature Diameter using Output Equation Example

Armature Diameter using Output Equation Solution

Armature Diameter using Output Equation Formula Elements

Other formulas in Mechanical Parameters category

How to Evaluate Armature Diameter using Output Equation?

FAQs on Armature Diameter using Output Equation

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