Synchronous Speed of Induction Motor given Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Synchronous Speed = (Motor Speed)/(Efficiency)
Ns = (Nm)/(η)
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Motor Speed: 14350 Revolution per Minute --> 1502.72848589059 Radian per Second (Check conversion here)
Efficiency: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = (Nm)/(η) --> (1502.72848589059)/(0.9)
Evaluating ... ...
Ns = 1669.69831765621
STEP 3: Convert Result to Output's Unit
1669.69831765621 Radian per Second -->15944.4444444444 Revolution per Minute (Check conversion here)
FINAL ANSWER
15944.4444444444 15944.44 Revolution per Minute <-- Synchronous Speed
(Calculation completed in 00.004 seconds)

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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

Synchronous Speed of Induction Motor given Efficiency Formula

Synchronous Speed = (Motor Speed)/(Efficiency)
Ns = (Nm)/(η)

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 Synchronous Speed of Induction Motor given Efficiency?

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

How to calculate Synchronous Speed of Induction Motor given Efficiency using this online calculator? To use this online calculator for Synchronous Speed of Induction Motor given Efficiency, enter Motor Speed (Nm) & Efficiency (η) and hit the calculate button. Here is how the Synchronous Speed of Induction Motor given Efficiency calculation can be explained with given input values -> 152258.2 = (1502.72848589059)/(0.9).

FAQ

What is Synchronous Speed of Induction Motor given Efficiency?
Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates and is represented as Ns = (Nm)/(η) or Synchronous Speed = (Motor Speed)/(Efficiency). Motor Speed is the speed of the rotor(motor) & The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.
How to calculate Synchronous Speed of Induction Motor given Efficiency?
Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates is calculated using Synchronous Speed = (Motor Speed)/(Efficiency). To calculate Synchronous Speed of Induction Motor given Efficiency, you need Motor Speed (Nm) & Efficiency (η). With our tool, you need to enter the respective value for Motor Speed & Efficiency 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 Synchronous Speed?
In this formula, Synchronous Speed uses Motor Speed & Efficiency. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)
  • Synchronous Speed = Motor Speed/(1-Slip)
  • Synchronous Speed = (120*Frequency)/(Number of Poles)
  • Synchronous Speed = (120*Frequency)/(Number of Poles)
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