Synchronous Speed Using Output Equation Calculator

Synchronous Speed Formula:

\[ Ns = \frac{Po}{Co(ac) \times 1000 \times Da^2 \times La} \]

Output Power (Po):

Watt

Output Coefficient AC (Co(ac)):

Armature Diameter (Da):

Meter

Armature Core Length (La):

Meter

Synchronous Speed (Ns):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Synchronous Speed Using Output Equation?

Synchronous speed (rps) is a significant parameter for the rotating magnetic field-type AC motor. It is determined by the frequency and the number of magnetic poles. The output equation provides a mathematical relationship between various machine parameters and the synchronous speed.

2. How Does the Calculator Work?

The calculator uses the Synchronous Speed formula:

\[ Ns = \frac{Po}{Co(ac) \times 1000 \times Da^2 \times La} \]

Where:

\( Ns \) — Synchronous Speed (Radian per Second)
\( Po \) — Output Power (Watt)
\( Co(ac) \) — Output Coefficient AC
\( Da \) — Armature Diameter (Meter)
\( La \) — Armature Core Length (Meter)

Explanation: This formula calculates the synchronous speed based on the output power, output coefficient, and physical dimensions of the armature.

3. Importance of Synchronous Speed Calculation

Details: Accurate synchronous speed calculation is crucial for designing and analyzing AC motors, ensuring proper machine operation, and optimizing performance characteristics.

4. Using the Calculator

Tips: Enter output power in watts, output coefficient AC, armature diameter in meters, and armature core length in meters. All values must be valid and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is synchronous speed in AC motors?
A: Synchronous speed is the speed at which the magnetic field rotates in an AC motor, determined by the frequency of the power supply and the number of poles.

Q2: How does armature diameter affect synchronous speed?
A: Larger armature diameter generally results in lower synchronous speed, as it appears squared in the denominator of the formula.

Q3: What is the significance of output coefficient AC?
A: Output coefficient AC represents the combined effect of various machine parameters including electric loading, magnetic loading, and efficiency factors.

Q4: Can this formula be used for all types of AC machines?
A: This specific formula is typically used for synchronous machines and may need modification for other types of AC machines.

Q5: What are typical units for synchronous speed?
A: Synchronous speed is typically measured in revolutions per second (rps) or radians per second, with 1 rps = 2π radians per second.