Gross Mechanical Power in Induction Motor Calculator

✖Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.ⓘ Slip [s]			+10% -10%
✖Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.ⓘ Input Power [P_in]			+10% -10%

✖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.ⓘ Gross Mechanical Power in Induction Motor [P_m]

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Formula

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Gross Mechanical Power in Induction Motor

Formula

`"P"_{"m"} = (1-"s")*"P"_{"in"}`

Example

`"32.4W"=(1-"0.19")*"40W"`

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Gross Mechanical Power in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Power = (1-Slip)*Input Power
P_m = (1-s)*P_in
This formula uses 3 Variables

Variables Used

Mechanical Power - (Measured in Watt) - 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.
Slip - Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.

STEP 1: Convert Input(s) to Base Unit

Slip: 0.19 --> No Conversion Required
Input Power: 40 Watt --> 40 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = (1-s)*P_in --> (1-0.19)*40

Evaluating ... ...

P_m = 32.4

STEP 3: Convert Result to Output's Unit

32.4 Watt --> No Conversion Required

FINAL ANSWER

32.4 Watt <-- Mechanical Power

(Calculation completed in 00.004 seconds)

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< 5 Power Calculators

Power Input in Induction Motor

Go Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor

Air Gap Power of Induction Motor

Go Air Gap Power = Input Power-Stator Copper Loss-Core Loss

Power Converted in Induction Motor

Go Converted Power = Air Gap Power-Rotor Copper Loss

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

< 25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Rotor Current in Induction Motor

Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Synchronous Speed in Induction Motor

Go Synchronous Speed = (120*Frequency)/(Number of Poles)

Frequency given Number of Poles in Induction Motor

Go Frequency = (Number of Poles*Synchronous Speed)/120

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Breakdown Slip of Induction Motor

Go Slip = Resistance/Reactance

Slip given Efficiency in Induction Motor

Go Slip = 1-Efficiency

Gross Mechanical Power in Induction Motor Formula

Mechanical Power = (1-Slip)*Input Power
P_m = (1-s)*P_in

What is Mechanical Loss?

Mechanical losses occur at the bearing and brush friction loss occurs in the wound rotor induction motor. These losses are zero at the start and with an increase in speed these losses increase. In a three-phase induction motor, the speed usually remains constant. Hence these losses almost remain constant.

How to Calculate Gross Mechanical Power in Induction Motor?

Gross Mechanical Power in Induction Motor calculator uses Mechanical Power = (1-Slip)*Input Power to calculate the Mechanical Power, Gross Mechanical Power in Induction Motor is the total amount of electricity generated by a power plant over a specific period of time. Mechanical Power is denoted by P_m symbol.

How to calculate Gross Mechanical Power in Induction Motor using this online calculator? To use this online calculator for Gross Mechanical Power in Induction Motor, enter Slip (s) & Input Power (P_in) and hit the calculate button. Here is how the Gross Mechanical Power in Induction Motor calculation can be explained with given input values -> 32.4 = (1-0.19)*40.

FAQ

What is Gross Mechanical Power in Induction Motor?

Gross Mechanical Power in Induction Motor is the total amount of electricity generated by a power plant over a specific period of time and is represented as P_m = (1-s)*P_in or Mechanical Power = (1-Slip)*Input Power. Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity & Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.

How to calculate Gross Mechanical Power in Induction Motor?

Gross Mechanical Power in Induction Motor is the total amount of electricity generated by a power plant over a specific period of time is calculated using Mechanical Power = (1-Slip)*Input Power. To calculate Gross Mechanical Power in Induction Motor, you need Slip (s) & Input Power (P_in). With our tool, you need to enter the respective value for Slip & Input Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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