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Power Transmitted Formula

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Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another. Check FAQs

W shaft = 2 \cdot π \cdot N \cdot τ

W_shaft - Shaft Power?N - Speed of Rotation?τ - Torque Applied?π - Archimedes' constant?

Power Transmitted Example

With values

With units

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

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

Here is how the Power Transmitted equation looks like.

4.9135 = 2 \cdot 3.1416 \cdot 17 \cdot 46000

4.9135kW = 2 \cdot 3.1416 \cdot 171/s \cdot 46000N*mm

4.9135 = 2 \cdot 3.1416 \cdot 17 \cdot 46000

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Power Transmitted Solution

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

FIRST Step Consider the formula

W shaft = 2 \cdot π \cdot N \cdot τ

Next Step Substitute values of Variables

∴

W shaft = 2 \cdot π \cdot 171/s \cdot 46000N*mm

Next Step Substitute values of Constants

∴

W shaft = 2 \cdot 3.1416 \cdot 171/s \cdot 46000N*mm

Next Step Convert Units

∴

W shaft = 2 \cdot 3.1416 \cdot 171/s \cdot 46N*m

Next Step Prepare to Evaluate

∴

W shaft = 2 \cdot 3.1416 \cdot 17 \cdot 46

Next Step Evaluate

∴

W shaft = 4913.45091021444W

Next Step Convert to Output's Unit

∴

W shaft = 4.91345091021444kW

LAST Step Rounding Answer

∴

W shaft = 4.9135kW

Power Transmitted Formula Elements

Variables

Constants

Shaft Power

Shaft Power is the mechanical power transmitted from one rotating element of a vehicle, ship, and all types of machinery to another.

Symbol: W_shaft

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Shaft Power

Speed of Rotation

The Speed of Rotation is the speed at which an object rotates or revolves is called rotational speed. Unlike linear speed, it is defined by how many rotations an object makes in a period of time.

Symbol: N

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Speed of Rotation

Torque Applied

Torque applied is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Applied

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 in Performance Factors category

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Q b = \frac{2 \cdot z g}{z g + z p \cdot \tan (γ)}

Go Velocity Factor for Cut Teeth of Bevel Gear

C v cut = \frac{6}{6 + v}

Go Velocity Factor for Generated Teeth of Bevel Gear

C v gen = \frac{5.6}{5.6 + \sqrt{v}}

How to Evaluate Power Transmitted?

Power Transmitted evaluator uses Shaft Power = 2*pi*Speed of Rotation*Torque Applied to evaluate the Shaft Power, The Power transmitted formula is defined as the amount of energy transferred or converted per unit of time. Shaft Power is denoted by W_shaft symbol.

How to evaluate Power Transmitted using this online evaluator? To use this online evaluator for Power Transmitted, enter Speed of Rotation (N) & Torque Applied (τ) and hit the calculate button.

FAQs on Power Transmitted

What is the formula to find Power Transmitted?

The formula of Power Transmitted is expressed as Shaft Power = 2*pi*Speed of Rotation*Torque Applied. Here is an example- 0.004913 = 2*pi*17*46.

How to calculate Power Transmitted?

With Speed of Rotation (N) & Torque Applied (τ) we can find Power Transmitted using the formula - Shaft Power = 2*pi*Speed of Rotation*Torque Applied. This formula also uses Archimedes' constant .

Can the Power Transmitted be negative?

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

Which unit is used to measure Power Transmitted?

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

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