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Shaft Power Formula

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Shaft power refers to the actual usable power output of a rotating shaft, such as that of an electric motor or engine,represents the mechanical work done by the motor or engine. Check FAQs

P shaft = 2 \cdot π \cdot ṅ \cdot τ

P_shaft - Shaft Power?ṅ - Revolutions per Second?τ - Torque Exerted on Wheel?π - Archimedes' constant?

Shaft Power Example

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With units

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Here is how the Shaft Power equation looks like with Values.

Here is how the Shaft Power equation looks like with Units.

Here is how the Shaft Power equation looks like.

2.1991 = 2 \cdot 3.1416 \cdot 7 \cdot 50

2.1991kW = 2 \cdot 3.1416 \cdot 7Hz \cdot 50N*m

2.1991 = 2 \cdot 3.1416 \cdot 7 \cdot 50

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Shaft Power Solution

Follow our step by step solution on how to calculate Shaft Power?

FIRST Step Consider the formula

P shaft = 2 \cdot π \cdot ṅ \cdot τ

Next Step Substitute values of Variables

∴

P shaft = 2 \cdot π \cdot 7Hz \cdot 50N*m

Next Step Substitute values of Constants

∴

P shaft = 2 \cdot 3.1416 \cdot 7Hz \cdot 50N*m

Next Step Prepare to Evaluate

∴

P shaft = 2 \cdot 3.1416 \cdot 7 \cdot 50

Next Step Evaluate

∴

P shaft = 2199.11485751285W

Next Step Convert to Output's Unit

∴

P shaft = 2.19911485751286kW

LAST Step Rounding Answer

∴

P shaft = 2.1991kW

Shaft Power Formula Elements

Variables

Constants

Shaft Power

Shaft power refers to the actual usable power output of a rotating shaft, such as that of an electric motor or engine,represents the mechanical work done by the motor or engine.

Symbol: P_shaft

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Shaft Power

Revolutions per Second

Revolutions per second is a unit of rotational speed or frequency. It measures the number of complete rotations or cycles an object makes around a fixed axis in one second.

Symbol: ṅ

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Revolutions per Second

Torque Exerted on Wheel

Torque exerted on wheel is a measure of the rotational force applied to an object, defined as the product of the force applied and the distance from the point of application to the axis of rotation.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

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

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How to Evaluate Shaft Power?

Shaft Power evaluator uses Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel to evaluate the Shaft Power, Shaft Power formula is defined as a representation of the power transmitted by a rotating shaft in mechanical systems. It quantifies the effective work output, essential for evaluating the performance of engines and machinery in various applications. Shaft Power is denoted by P_shaft symbol.

How to evaluate Shaft Power using this online evaluator? To use this online evaluator for Shaft Power, enter Revolutions per Second (ṅ) & Torque Exerted on Wheel (τ) and hit the calculate button.

FAQs on Shaft Power

What is the formula to find Shaft Power?

The formula of Shaft Power is expressed as Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel. Here is an example- 0.002199 = 2*pi*7*50.

How to calculate Shaft Power?

With Revolutions per Second (ṅ) & Torque Exerted on Wheel (τ) we can find Shaft Power using the formula - Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel. This formula also uses Archimedes' constant .

Can the Shaft Power be negative?

No, the Shaft Power, measured in Power cannot be negative.

Which unit is used to measure Shaft Power?

Shaft Power is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Shaft Power can be measured.

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Shaft Power Formula

Shaft Power Example

Shaft Power Solution

Shaft Power Formula Elements

Other formulas in Application of Thermodynamics to Flow Processes category

How to Evaluate Shaft Power?

FAQs on Shaft Power

Variable Name