How power transmission works using pulleys gears and chains

Part of Technology and DesignMechanical control systems

Key points

  • Power transmission involves transferring mechanical power from one part of a system to another
  • Gear trains change the speed, direction, or torque between shafts. The gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driver gear
  • An idler gear reverses the direction of rotation without changing the overall gear ratio
  • Belts and pulleys transfer motion using continuous loops of flexible material. The velocity ratio is determined by dividing the diameter of the driven pulley by the diameter of the driver pulley
  • A chain and sprocket system uses a chain looped around toothed wheels to transmit rotary motion. This system ensures no slippage, can transmit high torque, and is suitable for long distances between shafts
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What is power transmission

Power transmission is how mechanical power is transferred from one part of a system to another. Understanding power transmission helps in designing efficient machines and solving mechanical engineering problems across various industries.

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What are gear trains?

Simple gear trains consist of two or three gears attached to separate shafts. As one shaft rotates, its gear's teeth mesh with those of another gear, transferring motion to the next shaft. This system can change the speed, direction, and between shafts.

Bicycle pedals. sproket and chain are an example of a gear train
Image caption,
A close-up image of the rear of a bicycle - including the chain, wheel and brakes.

Found in everyday items like clocks and bicycles, gear trains can increase speed while decreasing force, or vice versa. Understanding how gears transfer motion between shafts helps explain the workings of many common machines and their importance in mechanical applications.

Smaller gears with fewer teeth turn faster than larger gears with more teeth. This difference in speed is called the gear ratio.

Symbol for a gear train - two concentric circles interlocked
Figure caption,
The diagram for a simple gear train

How to calculate gear ratio

\(\text{Gear ratio}=\frac{\text{number of teeth in the driven gear}}{\text{number of teeth in the driver gear}}\)

It shows how many times the driven gear rotates for each rotation of the driver gear.

A simple gear train showing the drive gear with 15 teeth and the driven gear with sixty teeth
Figure caption,
A simple gear train mechanism

Example:

The driven gear has 60 teeth and the driver gear has 20 teeth.

Gear ratio = teeth on driven gear / teeth on driver gear

Gear ratio = 60 / 20 = 3

  • the gear ratio is 3:1
  • the driven gear rotates once for every 3 rotations of the driver gear

Question

The driven gear has 50 teeth and the driver gear has 10 teeth.

Gear ratio = Teeth on driven gear / Teeth on driver gear

Idler gear

  • an extra gear between the driver and driven gears
  • main purpose is to reverses the direction of rotation
  • doesn't change overall gear ratio
  • freely rotates on its own shaft
A drive gear and driven gear separated by an idler gear.
Figure caption,
The symbol for an idler gear
Idler gear inside a watch mechanism
Image caption,
A watch mechanism contains examples of idler gears

Question

The driven gear has 30 teeth and the driver gear has 40 teeth. The idler gear has 20 teeth.

Gear ratio = teeth on driven gear / teeth on driver gear

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What are belts and pulleys

Belt drives are power transmission systems that use continuous loops of flexible material (belts) to transfer motion between two or more rotating shafts. They are widely used in various machines due to their simplicity, low cost, and ability to absorb shocks.

Belt and pulley diagram
Figure caption,
Belt and pulley diagram
A close-up image of a car belt inside of a car engine
Image caption,
An example of a belt and pulley inside a car engine

Each type has its unique advantages, making them suitable for different applications in mechanical systems:

Car engine with pulley wheels and toothed cam belt in view of engine bay
Image caption,
Toothed belt and pulley system in a car engine

Toothed belts:

  • have teeth that mesh with grooved pulleys
  • provide positive drive with no slippage
  • best for precise speed transmission
  • common in timing belts of car engines
Car engine with pulley wheels and toothed cam belt in view of engine bay
Image caption,
Toothed belt and pulley system in a car engine
A washing machine with open enclosure showing all of its parts.
Image caption,
A round belt inside a washing machine pulley system

Round belts:

  • circular cross-section
  • simple and inexpensive
  • work well for light loads
  • often used in household appliances
A washing machine with open enclosure showing all of its parts.
Image caption,
A round belt inside a washing machine pulley system
Belt drive of Diesel engine water pump
Image caption,
3 V-belts on a water pump

V-belts:

  • V-shaped cross-section
  • fit into grooved pulleys
  • provide excellent grip and power transmission
  • widely used in industrial machinery and vehicles
Belt drive of Diesel engine water pump
Image caption,
3 V-belts on a water pump

How to calculate the velocity ratio for belt drives

  • similar to gear ratio, but uses pulley diameters instead of teeth numbers
  • assumes no (an ideal condition)

\(\text{Velocity ratio}=\frac{\text{diameter of driven pulley}}{\text{diameter of driver pulley}}\)

Example:

The driven pulley diameter is 300mm and the driver pulley diameter is 100mm.
Velocity ratio = diameter of driven pulley / diameter of driver pulley
Velocity ratio = 300 mm / 100 mm = 3

  • the velocity ratio is 3:1
  • the driven pulley rotates once for every 3 rotations of the driver pulley
  • REMEMBER – a ratio greater than 1 indicates a reduction in speed of the driven pulley

Question

The driven pulley diameter is 200mm and the driver pulley diameter is 300mm.

Velocity ratio = diameter of driven pulley / diameter of driver pulley

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  • consists of a chain looped around toothed wheels (sprockets)
  • used to transmit rotary motion between parallel shafts
Symbol for a sprocket and chain, two asymmetric circles connected by a dotted line
Figure caption,
The symbol for a sprocket and chain
Sprocket and chain in a petrol engine oil pump
Image caption,
An example of a chain and sprocket inside an oil pump
  • similar to belt drives, but more robust and can handle heavier loads
  • this mechanism combines the flexibility of belt drives with the non-slip properties of gears, making it versatile for various power transmission needs

Advantages:

  • no slippage
  • can transmit high torque
  • suitable for long distances between shafts

Common applications:

  • bicycles
  • motorcycles
  • industrial machinery
  • conveyor systems
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