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Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit. Check FAQs
Ns=Nm1-s
Ns - Synchronous Speed?Nm - Motor Speed?s - Slip?

Synchronous Speed given Motor Speed Example

With values
With units
Only example

Here is how the Synchronous Speed given Motor Speed equation looks like with Values.

Here is how the Synchronous Speed given Motor Speed equation looks like with Units.

Here is how the Synchronous Speed given Motor Speed equation looks like.

17716.0494Edit=14350Edit1-0.19Edit
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Synchronous Speed given Motor Speed Solution

Follow our step by step solution on how to calculate Synchronous Speed given Motor Speed?

FIRST Step Consider the formula
Ns=Nm1-s
Next Step Substitute values of Variables
Ns=14350rev/min1-0.19
Next Step Convert Units
Ns=1502.7285rad/s1-0.19
Next Step Prepare to Evaluate
Ns=1502.72851-0.19
Next Step Evaluate
Ns=1855.22035295135rad/s
Next Step Convert to Output's Unit
Ns=17716.049382716rev/min
LAST Step Rounding Answer
Ns=17716.0494rev/min

Synchronous Speed given Motor Speed Formula Elements

Variables
Synchronous Speed
Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
Symbol: Ns
Measurement: Angular VelocityUnit: rev/min
Note: Value can be positive or negative.
Motor Speed
Motor Speed is the speed of the rotor(motor).
Symbol: Nm
Measurement: Angular VelocityUnit: rev/min
Note: Value can be positive or negative.
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.
Symbol: s
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other Formulas to find Synchronous Speed

​Go Synchronous Speed given Mechanical Power
Ns=60Pm2πτg
​Go Synchronous Speed in Induction Motor
Ns=120fn
​Go Synchronous Speed of Induction Motor given Efficiency
Ns=Nmη

Other formulas in Speed category

​Go Motor Speed given Synchronous Speed
Nm=Ns(1-s)
​Go Motor Speed in Induction Motor
Nm=Ns(1-s)
​Go Linear Synchronous Speed
Vs=2wfline
​Go Motor Speed given Efficiency in Induction Motor
Nm=ηNs

How to Evaluate Synchronous Speed given Motor Speed?

Synchronous Speed given Motor Speed evaluator uses Synchronous Speed = Motor Speed/(1-Slip) to evaluate the Synchronous Speed, Synchronous Speed given Motor Speed is the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine. Synchronous Speed is denoted by Ns symbol.

How to evaluate Synchronous Speed given Motor Speed using this online evaluator? To use this online evaluator for Synchronous Speed given Motor Speed, enter Motor Speed (Nm) & Slip (s) and hit the calculate button.

FAQs on Synchronous Speed given Motor Speed

What is the formula to find Synchronous Speed given Motor Speed?
The formula of Synchronous Speed given Motor Speed is expressed as Synchronous Speed = Motor Speed/(1-Slip). Here is an example- 169175.8 = 1502.72848589059/(1-0.19).
How to calculate Synchronous Speed given Motor Speed?
With Motor Speed (Nm) & Slip (s) we can find Synchronous Speed given Motor Speed using the formula - Synchronous Speed = Motor Speed/(1-Slip).
What are the other ways to Calculate Synchronous Speed?
Here are the different ways to Calculate Synchronous Speed-
  • Synchronous Speed=(60*Mechanical Power)/(2*pi*Gross Torque)OpenImg
  • Synchronous Speed=(120*Frequency)/(Number of Poles)OpenImg
  • Synchronous Speed=(Motor Speed)/(Efficiency)OpenImg
Can the Synchronous Speed given Motor Speed be negative?
Yes, the Synchronous Speed given Motor Speed, measured in Angular Velocity can be negative.
Which unit is used to measure Synchronous Speed given Motor Speed?
Synchronous Speed given Motor Speed is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Synchronous Speed given Motor Speed can be measured.
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