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Mechanical Power of Synchronous Motor given Input Power Formula

GoMechanical Power of Synchronous Motor Formula

GoMechanical Power of Synchronous Motor given Gross Torque Formula

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Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity. Check FAQs

P m = P in - {I a}^{2} \cdot R a

P_m - Mechanical Power?P_in - Input Power?I_a - Armature Current?R_a - Armature Resistance?

Mechanical Power of Synchronous Motor given Input Power Example

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Here is how the Mechanical Power of Synchronous Motor given Input Power equation looks like with Values.

Here is how the Mechanical Power of Synchronous Motor given Input Power equation looks like with Units.

Here is how the Mechanical Power of Synchronous Motor given Input Power equation looks like.

593.0835 = 769 - {3.7}^{2} \cdot 12.85

593.0835W = 769W - {3.7A}^{2} \cdot 12.85Ω

593.0835 = 769 - {3.7}^{2} \cdot 12.85

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Mechanical Power of Synchronous Motor given Input Power Solution

Follow our step by step solution on how to calculate Mechanical Power of Synchronous Motor given Input Power?

FIRST Step Consider the formula

P m = P in - {I a}^{2} \cdot R a

Next Step Substitute values of Variables

∴

P m = 769W - {3.7A}^{2} \cdot 12.85Ω

Next Step Prepare to Evaluate

∴

P m = 769 - {3.7}^{2} \cdot 12.85

LAST Step Evaluate

∴

P m = 593.0835W

Mechanical Power of Synchronous Motor given Input Power Formula Elements

Variables

Mechanical Power

Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Mechanical Power

Input Power

Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find 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 to find Mechanical Power

Go Mechanical Power of Synchronous Motor

P m = E b \cdot I a \cdot \cos (α - Φ s)

Go Mechanical Power of Synchronous Motor given Gross Torque

P m = τ g \cdot N s

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 Mechanical Power of Synchronous Motor given Input Power?

Mechanical Power of Synchronous Motor given Input Power evaluator uses Mechanical Power = Input Power-Armature Current^2*Armature Resistance to evaluate the Mechanical Power, The Mechanical Power of Synchronous Motor given Input Power 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. Mechanical Power is denoted by P_m symbol.

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

FAQs on Mechanical Power of Synchronous Motor given Input Power

What is the formula to find Mechanical Power of Synchronous Motor given Input Power?

The formula of Mechanical Power of Synchronous Motor given Input Power is expressed as Mechanical Power = Input Power-Armature Current^2*Armature Resistance. Here is an example- 593.0835 = 769-3.7^2*12.85.

How to calculate Mechanical Power of Synchronous Motor given Input Power?

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

What are the other ways to Calculate Mechanical Power?

Here are the different ways to Calculate Mechanical Power-

Mechanical Power=Back EMF*Armature Current*cos(Load Angle-Phase Difference)
Mechanical Power=Gross Torque*Synchronous Speed

Can the Mechanical Power of Synchronous Motor given Input Power be negative?

Yes, the Mechanical Power of Synchronous Motor given Input Power, measured in Power can be negative.

Which unit is used to measure Mechanical Power of Synchronous Motor given Input Power?

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

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: Unit

Mechanical Power of Synchronous Motor given Input Power Formula

​GoMechanical Power of Synchronous Motor Formula

​GoMechanical Power of Synchronous Motor given Gross Torque Formula

Mechanical Power of Synchronous Motor given Input Power Example

Mechanical Power of Synchronous Motor given Input Power Solution

Mechanical Power of Synchronous Motor given Input Power Formula Elements

Other Formulas to find Mechanical Power

Other formulas in Power category

How to Evaluate Mechanical Power of Synchronous Motor given Input Power?

FAQs on Mechanical Power of Synchronous Motor given Input Power

Variable Name

GoMechanical Power of Synchronous Motor Formula

GoMechanical Power of Synchronous Motor given Gross Torque Formula