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Mechanical Power Developed in DC Motor given Input Power Formula

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Mechanical 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 Developed in DC Motor given Input Power Example

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Here is how the Mechanical Power Developed in DC Motor given Input Power equation looks like with Values.

Here is how the Mechanical Power Developed in DC Motor given Input Power equation looks like with Units.

Here is how the Mechanical Power Developed in DC Motor given Input Power equation looks like.

36.0659 = 78 - ({0.724}^{2} \cdot 80)

36.0659W = 78W - ({0.724A}^{2} \cdot 80Ω)

36.0659 = 78 - ({0.724}^{2} \cdot 80)

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Mechanical Power Developed in DC Motor given Input Power Solution

Follow our step by step solution on how to calculate Mechanical Power Developed in DC 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 = 78W - ({0.724A}^{2} \cdot 80Ω)

Next Step Prepare to Evaluate

∴

P m = 78 - ({0.724}^{2} \cdot 80)

Next Step Evaluate

∴

P m = 36.06592W

LAST Step Rounding Answer

∴

P m = 36.0659W

Mechanical Power Developed in DC Motor given Input Power Formula Elements

Variables

Mechanical Power

Mechanical 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 dc 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 DC motor is defined as the armature current developed in an electrical dc 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 dc motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

Other formulas in DC Motor Characteristics category

Go Machine Construction Constant of DC Motor

K f = \frac{V s - I a \cdot R a}{Φ \cdot N}

Go Back EMF Equation of DC Motor

E b = \frac{n \cdot Φ \cdot Z \cdot N}{60 \cdot n ||}

Go Supply Voltage given Electrical Efficiency of DC Motor

V s = \frac{ω s \cdot τ a}{I a \cdot η e}

Go Armature Current given Electrical Efficiency of DC Motor

I a = \frac{ω s \cdot τ a}{V s \cdot η e}

How to Evaluate Mechanical Power Developed in DC Motor given Input Power?

Mechanical Power Developed in DC Motor given Input Power evaluator uses Mechanical Power = Input Power-(Armature Current^2*Armature Resistance) to evaluate the Mechanical Power, Mechanical Power Developed in DC Motor given Input Power is defined as the mechanical power generated by an electrical machine when the input power is known. Mechanical Power is denoted by P_m symbol.

How to evaluate Mechanical Power Developed in DC Motor given Input Power using this online evaluator? To use this online evaluator for Mechanical Power Developed in DC 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 Developed in DC Motor given Input Power

What is the formula to find Mechanical Power Developed in DC Motor given Input Power?

The formula of Mechanical Power Developed in DC Motor given Input Power is expressed as Mechanical Power = Input Power-(Armature Current^2*Armature Resistance). Here is an example- -535.832 = 78-(0.724^2*80).

How to calculate Mechanical Power Developed in DC Motor given Input Power?

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

Can the Mechanical Power Developed in DC Motor given Input Power be negative?

Yes, the Mechanical Power Developed in DC Motor given Input Power, measured in Power can be negative.

Which unit is used to measure Mechanical Power Developed in DC Motor given Input Power?

Mechanical Power Developed in DC 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 Developed in DC Motor given Input Power can be measured.

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Mechanical Power Developed in DC Motor given Input Power Formula

Mechanical Power Developed in DC Motor given Input Power Example

Mechanical Power Developed in DC Motor given Input Power Solution

Mechanical Power Developed in DC Motor given Input Power Formula Elements

Other formulas in DC Motor Characteristics category

How to Evaluate Mechanical Power Developed in DC Motor given Input Power?

FAQs on Mechanical Power Developed in DC Motor given Input Power

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