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Pitch Factor in Induction Motor Formula

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Pitch Factor, the ratio of the voltage induced in a short-pitch winding to the voltage that would be induced if the winding were full pitch. Check FAQs

K p = \cos (\frac{θ}{2})

K_p - Pitch Factor?θ - Short Pitched Angle?

Pitch Factor in Induction Motor Example

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Here is how the Pitch Factor in Induction Motor equation looks like with Values.

Here is how the Pitch Factor in Induction Motor equation looks like with Units.

Here is how the Pitch Factor in Induction Motor equation looks like.

0.7071 = \cos (\frac{90}{2})

0.7071 = \cos (\frac{90°}{2})

0.7071 = \cos (\frac{90}{2})

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Pitch Factor in Induction Motor Solution

Follow our step by step solution on how to calculate Pitch Factor in Induction Motor?

FIRST Step Consider the formula

K p = \cos (\frac{θ}{2})

Next Step Substitute values of Variables

∴

K p = \cos (\frac{90°}{2})

Next Step Convert Units

∴

K p = \cos (\frac{1.5708rad}{2})

Next Step Prepare to Evaluate

∴

K p = \cos (\frac{1.5708}{2})

Next Step Evaluate

∴

K p = 0.707106781186652

LAST Step Rounding Answer

∴

K p = 0.7071

Pitch Factor in Induction Motor Formula Elements

Variables

Functions

Pitch Factor

Pitch Factor, the ratio of the voltage induced in a short-pitch winding to the voltage that would be induced if the winding were full pitch.

Symbol: K_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pitch Factor

Short Pitched Angle

Short Pitched Anglel, the coil span will be (180 - θ)° electrical (θ = angle by which coils are short-pitched and always less than pole pitch).

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Short Pitched Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Mechanical Specifications category

Go Armature Current given Power in Induction Motor

I a = \frac{P out}{V a}

Go Field Current using Load Current in Induction Motor

I f = I a - I L

Go Load Current in Induction Motor

I L = I a - I f

Go Rotor Current in Induction Motor

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

How to Evaluate Pitch Factor in Induction Motor?

Pitch Factor in Induction Motor evaluator uses Pitch Factor = cos(Short Pitched Angle/2) to evaluate the Pitch Factor, Pitch Factor in Induction Motor is defined as the ratio of emf generated in short pitch coil to the emf generated in full pitch coil. Pitch Factor is denoted by K_p symbol.

How to evaluate Pitch Factor in Induction Motor using this online evaluator? To use this online evaluator for Pitch Factor in Induction Motor, enter Short Pitched Angle (θ) and hit the calculate button.

FAQs on Pitch Factor in Induction Motor

What is the formula to find Pitch Factor in Induction Motor?

The formula of Pitch Factor in Induction Motor is expressed as Pitch Factor = cos(Short Pitched Angle/2). Here is an example- 0.707107 = cos(1.5707963267946/2).

How to calculate Pitch Factor in Induction Motor?

With Short Pitched Angle (θ) we can find Pitch Factor in Induction Motor using the formula - Pitch Factor = cos(Short Pitched Angle/2). This formula also uses Cosine (cos) function(s).

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