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Service Factor for Gear given Torque Formula

GoService Factor using Tangential Force Formula

GoService factor for motor Formula

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Service Factor for Spur Gear is defined as the ratio of the torque capacity and the rated torque value. Check FAQs

K s = \frac{M Tmax}{M τ}

K_s - Service Factor for Spur Gear?M_Tmax - Maximum Torque on Spur Gear?M_τ - Rated Torque of Spur Gear?

Service Factor for Gear given Torque Example

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Here is how the Service Factor for Gear given Torque equation looks like with Values.

Here is how the Service Factor for Gear given Torque equation looks like with Units.

Here is how the Service Factor for Gear given Torque equation looks like.

1.2077 = \frac{31400}{26000}

1.2077 = \frac{31400N*mm}{26000N*mm}

1.2077 = \frac{31400}{26000}

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Service Factor for Gear given Torque Solution

Follow our step by step solution on how to calculate Service Factor for Gear given Torque?

FIRST Step Consider the formula

K s = \frac{M Tmax}{M τ}

Next Step Substitute values of Variables

∴

K s = \frac{31400N*mm}{26000N*mm}

Next Step Convert Units

∴

K s = \frac{31.4N*m}{26N*m}

Next Step Prepare to Evaluate

∴

K s = \frac{31.4}{26}

Next Step Evaluate

∴

K s = 1.20769230769231

LAST Step Rounding Answer

∴

K s = 1.2077

Service Factor for Gear given Torque Formula Elements

Variables

Service Factor for Spur Gear

Service Factor for Spur Gear is defined as the ratio of the torque capacity and the rated torque value.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.99.

Formulas to find Service Factor for Spur Gear

Maximum Torque on Spur Gear

Maximum Torque on Spur Gear is the maximum working torque that can is acting onto a spur gear.

Symbol: M_Tmax

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Torque on Spur Gear

Rated Torque of Spur Gear

The Rated Torque of Spur Gear is the torque capacity for which the gear is rated.

Symbol: M_τ

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Rated Torque of Spur Gear

Other Formulas to find Service Factor for Spur Gear

Go Service Factor using Tangential Force

K s = \frac{P tmax}{P t}

Go Service factor for motor

K s = \frac{M sτ}{M τ}

Other formulas in Dynamics of Spur Gear category

Go Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

M t = P t \cdot \frac{d}{2}

Go Tangential Force on Gear given Torque and Pitch Circle Diameter

P t = 2 \cdot \frac{M t}{d}

Go Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

How to Evaluate Service Factor for Gear given Torque?

Service Factor for Gear given Torque evaluator uses Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear to evaluate the Service Factor for Spur Gear, The service factor for gear given torque formula is defined as the ratio of maximum torque to rated torque. Service Factor for Spur Gear is denoted by K_s symbol.

How to evaluate Service Factor for Gear given Torque using this online evaluator? To use this online evaluator for Service Factor for Gear given Torque, enter Maximum Torque on Spur Gear (M_Tmax) & Rated Torque of Spur Gear (M_τ) and hit the calculate button.

FAQs on Service Factor for Gear given Torque

What is the formula to find Service Factor for Gear given Torque?

The formula of Service Factor for Gear given Torque is expressed as Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear. Here is an example- 1.207692 = 31.4/26.

How to calculate Service Factor for Gear given Torque?

With Maximum Torque on Spur Gear (M_Tmax) & Rated Torque of Spur Gear (M_τ) we can find Service Factor for Gear given Torque using the formula - Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear.

What are the other ways to Calculate Service Factor for Spur Gear?

Here are the different ways to Calculate Service Factor for Spur Gear-

Service Factor for Spur Gear=Maximum Tangential Force on Spur Gear/Tangential Force on Spur Gear
Service Factor for Spur Gear=Starting Torque on Spur Gear/Rated Torque of Spur Gear

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