Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Gear Reducing Formulas

Output torque, speed and horsepower with gears.

Gear - transmission ratio

Gear Output Torque

Mo = Mi r μ                               (1)

where 

Mo = output torque (Nm, lbf ft)

Mi = input torque (Nm, lbf ft)

r = gear transmission ratio

μ = gear efficiency (%)

Example - Geear Output Torque

The output torque from a transmission with input torque 500 Nm, gear transmission ratio 3.8 and gear efficiency 0.9 - can be calculated as

Mo = (500 Nm) (3.8) (0.9)

    = 1710 Nm   

Gear Output Speed

So = Si  / r                             (2)

where 

So = output speed (rad/s, rpm)

Si = input speed (rad/s, rpm)

Example - Gear Output Speed

The output speed of a transmission with input speed 2000 rpm and transmission ratio 3.8 can be calculated as

So = (2000 rpm) / (3.8)

    = 526 rpm 

Gear Output Horsepower

Po = Pi  μ                              (3)

where 

Po = output horsepower (W, hp)

Pi = input horsepower (W, hp)

Example - Gear Output Power

The output power from a transmission with input power 300 kW and efficiency 0.9 can be calculated as

Po = (300 kW) (0.9)

    = 270 kW 

Related Topics

  • Mechanics

    The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

Related Documents

Search

Search is the most efficient way to navigate the Engineering ToolBox.

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

Citation

This page can be cited as

  • The Engineering ToolBox (2010). Gear Reducing Formulas. [online] Available at: https://www.engineeringtoolbox.com/gear-output-torque-speed-horsepower-d_1691.html [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter

















































6.3.17

.