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Synchronous Speed given Mechanical Power Formula

GoSynchronous Speed given Motor Speed Formula

GoSynchronous Speed in Induction Motor Formula

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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

N s = \frac{60 \cdot P m}{2 \cdot π \cdot τ g}

N_s - Synchronous Speed?P_m - Mechanical Power?τ_g - Gross Torque?π - Archimedes' constant?

Synchronous Speed given Mechanical Power Example

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

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

Here is how the Synchronous Speed given Mechanical Power equation looks like.

1736.9346 = \frac{60 \cdot 36}{2 \cdot 3.1416 \cdot 1.89}

1736.9346rev/min = \frac{60 \cdot 36W}{2 \cdot 3.1416 \cdot 1.89N*m}

1736.9346 = \frac{60 \cdot 36}{2 \cdot 3.1416 \cdot 1.89}

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Synchronous Speed given Mechanical Power Solution

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

FIRST Step Consider the formula

N s = \frac{60 \cdot P m}{2 \cdot π \cdot τ g}

Next Step Substitute values of Variables

∴

N s = \frac{60 \cdot 36W}{2 \cdot π \cdot 1.89N*m}

Next Step Substitute values of Constants

∴

N s = \frac{60 \cdot 36W}{2 \cdot 3.1416 \cdot 1.89N*m}

Next Step Prepare to Evaluate

∴

N s = \frac{60 \cdot 36}{2 \cdot 3.1416 \cdot 1.89}

Next Step Evaluate

∴

N s = 181.891363533595rad/s

Next Step Convert to Output's Unit

∴

N s = 1736.93457681424rev/min

LAST Step Rounding Answer

∴

N s = 1736.9346rev/min

Synchronous Speed given Mechanical Power Formula Elements

Variables

Constants

Synchronous Speed

Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Synchronous Speed

Mechanical Power

Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Mechanical Power

Gross Torque

Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.

Symbol: τ_g

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Gross Torque

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Synchronous Speed

Go Synchronous Speed given Motor Speed

N s = \frac{N m}{1 - s}

Go Synchronous Speed in Induction Motor

N s = \frac{120 \cdot f}{n}

Go Synchronous Speed of Induction Motor given Efficiency

N s = \frac{N m}{η}

Other formulas in Speed category

Go Motor Speed given Synchronous Speed

N m = N s \cdot (1 - s)

Go Motor Speed in Induction Motor

N m = N s \cdot (1 - s)

Go Linear Synchronous Speed

V s = 2 \cdot w \cdot f line

Go Motor Speed given Efficiency in Induction Motor

N m = η \cdot N s

How to Evaluate Synchronous Speed given Mechanical Power?

Synchronous Speed given Mechanical Power evaluator uses Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque) to evaluate the Synchronous Speed, Synchronous Speed given Mechanical Power 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 N_s symbol.

How to evaluate Synchronous Speed given Mechanical Power using this online evaluator? To use this online evaluator for Synchronous Speed given Mechanical Power, enter Mechanical Power (P_m) & Gross Torque (τ_g) and hit the calculate button.

FAQs on Synchronous Speed given Mechanical Power

What is the formula to find Synchronous Speed given Mechanical Power?

The formula of Synchronous Speed given Mechanical Power is expressed as Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque). Here is an example- 16586.5 = (60*36)/(2*pi*1.89).

How to calculate Synchronous Speed given Mechanical Power?

With Mechanical Power (P_m) & Gross Torque (τ_g) we can find Synchronous Speed given Mechanical Power using the formula - Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque). This formula also uses Archimedes' constant .

What are the other ways to Calculate Synchronous Speed?

Here are the different ways to Calculate Synchronous Speed-

Synchronous Speed=Motor Speed/(1-Slip)
Synchronous Speed=(120*Frequency)/(Number of Poles)
Synchronous Speed=(Motor Speed)/(Efficiency)

Can the Synchronous Speed given Mechanical Power be negative?

Yes, the Synchronous Speed given Mechanical Power, measured in Angular Velocity can be negative.

Which unit is used to measure Synchronous Speed given Mechanical Power?

Synchronous Speed given Mechanical Power 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 Mechanical Power can be measured.

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Synchronous Speed given Mechanical Power Formula

​GoSynchronous Speed given Motor Speed Formula

​GoSynchronous Speed in Induction Motor Formula

Synchronous Speed given Mechanical Power Example

Synchronous Speed given Mechanical Power Solution

Synchronous Speed given Mechanical Power Formula Elements

Other Formulas to find Synchronous Speed

Other formulas in Speed category

How to Evaluate Synchronous Speed given Mechanical Power?

FAQs on Synchronous Speed given Mechanical Power

Variable Name

GoSynchronous Speed given Motor Speed Formula

GoSynchronous Speed in Induction Motor Formula