Motor Speed given Synchronous Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Motor Speed = Synchronous Speed*(1-Slip)
Nm = Ns*(1-s)
This formula uses 3 Variables
Variables Used
Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
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.
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.
STEP 1: Convert Input(s) to Base Unit
Synchronous Speed: 15660 Revolution per Minute --> 1639.91136509036 Radian per Second (Check conversion here)
Slip: 0.19 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nm = Ns*(1-s) --> 1639.91136509036*(1-0.19)
Evaluating ... ...
Nm = 1328.32820572319
STEP 3: Convert Result to Output's Unit
1328.32820572319 Radian per Second -->12684.6 Revolution per Minute (Check conversion here)
FINAL ANSWER
12684.6 Revolution per Minute <-- Motor Speed
(Calculation completed in 00.004 seconds)

Credits

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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)

Motor Speed given Synchronous Speed Formula

Motor Speed = Synchronous Speed*(1-Slip)
Nm = Ns*(1-s)

What is slip?

Slip when efficiency is given is defined as the difference between Synchronous Speed (Speed of rotation of magnetic field) and Rotor Speed.

How to Calculate Motor Speed given Synchronous Speed?

Motor Speed given Synchronous Speed calculator uses Motor Speed = Synchronous Speed*(1-Slip) to calculate the Motor Speed, Motor Speed given Synchronous Speed is the speed at which rotor rotates. With this formula we can easily find motor speed when synchronous speed of rotor is given. Motor Speed is denoted by Nm symbol.

How to calculate Motor Speed given Synchronous Speed using this online calculator? To use this online calculator for Motor Speed given Synchronous Speed, enter Synchronous Speed (Ns) & Slip (s) and hit the calculate button. Here is how the Motor Speed given Synchronous Speed calculation can be explained with given input values -> 121129 = 1639.91136509036*(1-0.19).

FAQ

What is Motor Speed given Synchronous Speed?
Motor Speed given Synchronous Speed is the speed at which rotor rotates. With this formula we can easily find motor speed when synchronous speed of rotor is given and is represented as Nm = Ns*(1-s) or Motor Speed = Synchronous Speed*(1-Slip). Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit & 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.
How to calculate Motor Speed given Synchronous Speed?
Motor Speed given Synchronous Speed is the speed at which rotor rotates. With this formula we can easily find motor speed when synchronous speed of rotor is given is calculated using Motor Speed = Synchronous Speed*(1-Slip). To calculate Motor Speed given Synchronous Speed, you need Synchronous Speed (Ns) & Slip (s). With our tool, you need to enter the respective value for Synchronous Speed & Slip 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 Synchronous Speed & Slip. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Motor Speed = Synchronous Speed*(1-Slip)
  • Motor Speed = Efficiency*Synchronous Speed
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