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Power transmitted by Shaft Formula

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Power Transmitted by Shaft is the amount of power that a shaft can transmit safely without failing due to twisting or torsional forces during its operation. Check FAQs

P = 2 \cdot π \cdot N \cdot M t

P - Power Transmitted by Shaft?N - Speed of Shaft?M_t - Torque Transmitted by Shaft?π - Archimedes' constant?

Power transmitted by Shaft Example

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

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

Here is how the Power transmitted by Shaft equation looks like.

8.8342 = 2 \cdot 3.1416 \cdot 1850 \cdot 45600

8.8342kW = 2 \cdot 3.1416 \cdot 1850rev/min \cdot 45600N*mm

8.8342 = 2 \cdot 3.1416 \cdot 1850 \cdot 45600

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Power transmitted by Shaft Solution

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

FIRST Step Consider the formula

P = 2 \cdot π \cdot N \cdot M t

Next Step Substitute values of Variables

∴

P = 2 \cdot π \cdot 1850rev/min \cdot 45600N*mm

Next Step Substitute values of Constants

∴

P = 2 \cdot 3.1416 \cdot 1850rev/min \cdot 45600N*mm

Next Step Convert Units

∴

P = 2 \cdot 3.1416 \cdot 30.8333Hz \cdot 45.6N*m

Next Step Prepare to Evaluate

∴

P = 2 \cdot 3.1416 \cdot 30.8333 \cdot 45.6

Next Step Evaluate

∴

P = 8834.15854189449W

Next Step Convert to Output's Unit

∴

P = 8.83415854189449kW

LAST Step Rounding Answer

∴

P = 8.8342kW

Power transmitted by Shaft Formula Elements

Variables

Constants

Power Transmitted by Shaft

Power Transmitted by Shaft is the amount of power that a shaft can transmit safely without failing due to twisting or torsional forces during its operation.

Symbol: P

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Transmitted by Shaft

Speed of Shaft

Speed of Shaft is the rotational speed of a shaft in a machine, which affects the overall strength and performance of the shaft in its design.

Symbol: N

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Shaft

Torque Transmitted by Shaft

Torque Transmitted by Shaft is the rotational force that causes the shaft to rotate, which is a critical parameter in shaft design on strength basis.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Shaft

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 Shaft Design on Strength Basis category

Go Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

σ t = 4 \cdot \frac{P ax}{π \cdot d^{2}}

Go Diameter of Shaft given Tensile Stress in Shaft

d = \sqrt{4 \cdot \frac{P ax}{π \cdot σ t}}

Go Axial Force given Tensile Stress in Shaft

P ax = σ t \cdot π \cdot \frac{d^{2}}{4}

Go Bending Stress in Shaft Pure Bending Moment

σ b = \frac{32 \cdot M b}{π \cdot d^{3}}

How to Evaluate Power transmitted by Shaft?

Power transmitted by Shaft evaluator uses Power Transmitted by Shaft = 2*pi*Speed of Shaft*Torque Transmitted by Shaft to evaluate the Power Transmitted by Shaft, Power Transmitted by Shaft formula is defined as the measure of the rotational power that a shaft can transmit in a machine, which is a critical parameter in shaft design, as it affects the overall performance, efficiency, and reliability of the machine. Power Transmitted by Shaft is denoted by P symbol.

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

FAQs on Power transmitted by Shaft

What is the formula to find Power transmitted by Shaft?

The formula of Power transmitted by Shaft is expressed as Power Transmitted by Shaft = 2*pi*Speed of Shaft*Torque Transmitted by Shaft. Here is an example- 0.008834 = 2*pi*30.8333333333333*45.6.

How to calculate Power transmitted by Shaft?

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

Can the Power transmitted by Shaft be negative?

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

Which unit is used to measure Power transmitted by Shaft?

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

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Power transmitted by Shaft Formula

Power transmitted by Shaft Example

Power transmitted by Shaft Solution

Power transmitted by Shaft Formula Elements

Other formulas in Shaft Design on Strength Basis category

How to Evaluate Power transmitted by Shaft?

FAQs on Power transmitted by Shaft

Variable Name