Linear Synchronous Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency
Vs = 2*w*fline
This formula uses 3 Variables
Variables Used
Linear Synchronous Speed - (Measured in Meter per Second) - Linear Synchronous Speed is the synchronous speed of the linear synchronous machine.
Pole Pitch Width - (Measured in Meter) - Pole Pitch Width is defined as the co-axial distance from the midpoints of the adjacent poles.
Line Frequency - (Measured in Hertz) - Line Frequency is defined as the number of times each second that a wave or some repeatable set of signals is transmitted over a line.
STEP 1: Convert Input(s) to Base Unit
Pole Pitch Width: 150 Millimeter --> 0.15 Meter (Check conversion here)
Line Frequency: 450 Hertz --> 450 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = 2*w*fline --> 2*0.15*450
Evaluating ... ...
Vs = 135
STEP 3: Convert Result to Output's Unit
135 Meter per Second --> No Conversion Required
FINAL ANSWER
135 Meter per Second <-- Linear Synchronous Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has created this Calculator and 100+ more calculators!
Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
Aman Dhussawat has verified this Calculator and 100+ more calculators!

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

Linear Synchronous Speed Formula

Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency
Vs = 2*w*fline

What is Linear Synchronous Speed?

When a three phase primary winding of the motor is energized from a balanced three phase source, a magnetic field moving in a straight line from one end to other at a linear synchronous speed Vs is produced. The interaction of magnetic fields with the current induced in the secondary exerts a thrust on the secondary to move in the same direction if the primary is held stationary. Alternatively if the secondary is stationary and the primary is free to move, the primary moves in the direction opposite to that of the magnetic field.

How to Calculate Linear Synchronous Speed?

Linear Synchronous Speed calculator uses Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency to calculate the Linear Synchronous Speed, The Linear Synchronous Speed formula is defined as a linear motor in which the mechanical motion is in synchronism with the magnetic field, i.e., the mechanical speed is the same as the speed of the traveling magnetic field. Linear Synchronous Speed is denoted by Vs symbol.

How to calculate Linear Synchronous Speed using this online calculator? To use this online calculator for Linear Synchronous Speed, enter Pole Pitch Width (w) & Line Frequency (fline) and hit the calculate button. Here is how the Linear Synchronous Speed calculation can be explained with given input values -> 135 = 2*0.15*450.

FAQ

What is Linear Synchronous Speed?
The Linear Synchronous Speed formula is defined as a linear motor in which the mechanical motion is in synchronism with the magnetic field, i.e., the mechanical speed is the same as the speed of the traveling magnetic field and is represented as Vs = 2*w*fline or Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency. Pole Pitch Width is defined as the co-axial distance from the midpoints of the adjacent poles & Line Frequency is defined as the number of times each second that a wave or some repeatable set of signals is transmitted over a line.
How to calculate Linear Synchronous Speed?
The Linear Synchronous Speed formula is defined as a linear motor in which the mechanical motion is in synchronism with the magnetic field, i.e., the mechanical speed is the same as the speed of the traveling magnetic field is calculated using Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency. To calculate Linear Synchronous Speed, you need Pole Pitch Width (w) & Line Frequency (fline). With our tool, you need to enter the respective value for Pole Pitch Width & Line Frequency 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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