Motor Speed given Efficiency in Induction Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Motor Speed = Efficiency*Synchronous Speed
Nm = η*Ns
This formula uses 3 Variables
Variables Used
Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
Efficiency - The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.
Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
STEP 1: Convert Input(s) to Base Unit
Efficiency: 0.9 --> No Conversion Required
Synchronous Speed: 15660 Revolution per Minute --> 1639.91136509036 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nm = η*Ns --> 0.9*1639.91136509036
Evaluating ... ...
Nm = 1475.92022858132
STEP 3: Convert Result to Output's Unit
1475.92022858132 Radian per Second -->14094 Revolution per Minute (Check conversion here)
FINAL ANSWER
14094 Revolution per Minute <-- Motor Speed
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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8 Speed Calculators

Synchronous Speed given Mechanical Power
Go Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)
Linear Synchronous Speed
Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency
Synchronous Speed in Induction Motor
Go Synchronous Speed = (120*Frequency)/(Number of Poles)
Synchronous Speed of Induction Motor given Efficiency
Go Synchronous Speed = (Motor Speed)/(Efficiency)
Motor Speed given Efficiency in Induction Motor
Go Motor Speed = Efficiency*Synchronous Speed
Motor Speed given Synchronous Speed
Go Motor Speed = Synchronous Speed*(1-Slip)
Synchronous Speed given Motor Speed
Go Synchronous Speed = Motor Speed/(1-Slip)
Motor Speed in Induction Motor
Go Motor Speed = Synchronous Speed*(1-Slip)

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

Motor Speed given Efficiency in Induction Motor Formula

Motor Speed = Efficiency*Synchronous Speed
Nm = η*Ns

What is the efficiency of a machine?

The efficiency of any machine measures the degree to which friction and other factors reduce the actual work output of the machine from its theoretical maximum. A frictionless machine would have an efficiency of 100%. A machine with an efficiency of 20% has an output of only one-fifth of its theoretical output.

How to Calculate Motor Speed given Efficiency in Induction Motor?

Motor Speed given Efficiency in Induction Motor calculator uses Motor Speed = Efficiency*Synchronous Speed to calculate the Motor Speed, Motor Speed given Efficiency in Induction Motor is the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor. Motor Speed is denoted by Nm symbol.

How to calculate Motor Speed given Efficiency in Induction Motor using this online calculator? To use this online calculator for Motor Speed given Efficiency in Induction Motor, enter Efficiency (η) & Synchronous Speed (Ns) and hit the calculate button. Here is how the Motor Speed given Efficiency in Induction Motor calculation can be explained with given input values -> 134587.8 = 0.9*1639.91136509036.

FAQ

What is Motor Speed given Efficiency in Induction Motor?
Motor Speed given Efficiency in Induction Motor is the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor and is represented as Nm = η*Ns or Motor Speed = Efficiency*Synchronous Speed. The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
How to calculate Motor Speed given Efficiency in Induction Motor?
Motor Speed given Efficiency in Induction Motor is the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor is calculated using Motor Speed = Efficiency*Synchronous Speed. To calculate Motor Speed given Efficiency in Induction Motor, you need Efficiency (η) & Synchronous Speed (Ns). With our tool, you need to enter the respective value for Efficiency & Synchronous Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Motor Speed?
In this formula, Motor Speed uses Efficiency & Synchronous Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Motor Speed = Synchronous Speed*(1-Slip)
  • Motor Speed = Synchronous Speed*(1-Slip)
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