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

This is an AMP page - Open full page! for all features.


Sponsored Links

A gear is a mechanical device that transmits rotary motion by changing the magnitude and line of action of the effort force.

The effort force can be expressed as

F = W (r1 r2.. r n ) / (R1 R2.. R n )                                     (1)


F = effort force (N, lbf )

W = load force or weight (N, lbf )

r = gear wheel inside diameter (m, in)

R = gear wheel outside diameter (m, in)

Example - Gear Transmission and Effort Force

The effort force in a gear transmission with three wheels:

  • wheel 1 : r1 = 0.05, R1 = 0.12
  • wheel 2 : r2= 0.06, R2= 0.13
  • wheel 3 : r3 = 0.07, R3 = 0.14

and a weight load of 1000 N can be calculated as

F = W (r1 r2r n ) / (R1 R2R n )

= (1000 N) ((0.05 m) (0.06 m) (0.07 m)) / ((0.12 m) (0.13 m) (0.14 m))

= 96 N

= 0.1 kN

Sponsored Links

Related Topics


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

Related Documents

Belt Transmissions - Speed and Length of Belts

Calculate length and speed of belt and belt gearing.

Belts - Pulley Diameters vs. Speed

The pulley laws - driver and driven - diameter and rpm

Conn-Rod Mechanism

The connecting rod mechanism.

Efficiency of Small Machine Elements

Friction and efficiency in bearings and roller chains.


Newton's third law - force vs. mass and acceleration.

Force Ratio

The force ratio is the load force versus the effort force.

Gear Reducing Formulas

Output torque, speed and horsepower with gears.

Gear Trains - Bicycle Gearing Calculator

Gear train transmissions - bicycle gearing.

Mass vs. Weight

Mass vs. weight - the Gravity Force.

Toggle Joint

A toggle joint mechanism can be used to multiply force.

Sponsored Links

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

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 the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!


We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.