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3 Phase Mechanical Power of Synchronous Motor Formula

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Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft. Check FAQs

P me(3Φ) = P in(3Φ) - 3 \cdot {I a}^{2} \cdot R a

P_me(3Φ) - Three Phase Mechanical Power?P_in(3Φ) - Three Phase Input Power?I_a - Armature Current?R_a - Armature Resistance?

3 Phase Mechanical Power of Synchronous Motor Example

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Here is how the 3 Phase Mechanical Power of Synchronous Motor equation looks like with Values.

Here is how the 3 Phase Mechanical Power of Synchronous Motor equation looks like with Units.

Here is how the 3 Phase Mechanical Power of Synchronous Motor equation looks like.

1056.2505 = 1584 - 3 \cdot {3.7}^{2} \cdot 12.85

1056.2505W = 1584W - 3 \cdot {3.7A}^{2} \cdot 12.85Ω

1056.2505 = 1584 - 3 \cdot {3.7}^{2} \cdot 12.85

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3 Phase Mechanical Power of Synchronous Motor Solution

Follow our step by step solution on how to calculate 3 Phase Mechanical Power of Synchronous Motor?

FIRST Step Consider the formula

P me(3Φ) = P in(3Φ) - 3 \cdot {I a}^{2} \cdot R a

Next Step Substitute values of Variables

∴

P me(3Φ) = 1584W - 3 \cdot {3.7A}^{2} \cdot 12.85Ω

Next Step Prepare to Evaluate

∴

P me(3Φ) = 1584 - 3 \cdot {3.7}^{2} \cdot 12.85

LAST Step Evaluate

∴

P me(3Φ) = 1056.2505W

3 Phase Mechanical Power of Synchronous Motor Formula Elements

Variables

Three Phase Mechanical Power

Three Phase Mechanical Power is defined as the power developed by a 3-Φ Synchronous Motor to rotate the shaft.

Symbol: P_me(3Φ)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Three Phase Mechanical Power

Three Phase Input Power

Three Phase Input Power is defined as the three phase power supplied an synchronous motor.

Symbol: P_in(3Φ)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Three Phase Input Power

Armature Current

Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Armature Resistance

The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

Other formulas in Power category

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

How to Evaluate 3 Phase Mechanical Power of Synchronous Motor?

3 Phase Mechanical Power of Synchronous Motor evaluator uses Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance to evaluate the Three Phase Mechanical Power, The 3 Phase Mechanical Power of Synchronous Motor formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery. Three Phase Mechanical Power is denoted by P_me(3Φ) symbol.

How to evaluate 3 Phase Mechanical Power of Synchronous Motor using this online evaluator? To use this online evaluator for 3 Phase Mechanical Power of Synchronous Motor, enter Three Phase Input Power (P_in(3Φ)), Armature Current (I_a) & Armature Resistance (R_a) and hit the calculate button.

FAQs on 3 Phase Mechanical Power of Synchronous Motor

What is the formula to find 3 Phase Mechanical Power of Synchronous Motor?

The formula of 3 Phase Mechanical Power of Synchronous Motor is expressed as Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance. Here is an example- 1056.25 = 1584-3*3.7^2*12.85.

How to calculate 3 Phase Mechanical Power of Synchronous Motor?

With Three Phase Input Power (P_in(3Φ)), Armature Current (I_a) & Armature Resistance (R_a) we can find 3 Phase Mechanical Power of Synchronous Motor using the formula - Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance.

Can the 3 Phase Mechanical Power of Synchronous Motor be negative?

Yes, the 3 Phase Mechanical Power of Synchronous Motor, measured in Power can be negative.

Which unit is used to measure 3 Phase Mechanical Power of Synchronous Motor?

3 Phase Mechanical Power of Synchronous Motor is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which 3 Phase Mechanical Power of Synchronous Motor can be measured.

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3 Phase Mechanical Power of Synchronous Motor Formula

3 Phase Mechanical Power of Synchronous Motor Example

3 Phase Mechanical Power of Synchronous Motor Solution

3 Phase Mechanical Power of Synchronous Motor Formula Elements

Other formulas in Power category

How to Evaluate 3 Phase Mechanical Power of Synchronous Motor?

FAQs on 3 Phase Mechanical Power of Synchronous Motor

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