#005 Rotational to Linear
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Definition

Rotary motion was the first motion taken from natural power, river water turning a mill's waterwheel or a donkey walking in a circle around a well. These early machines harnessed the rotational power to a rotational tool like a flour mill. Only in modern time was this rotational power converted into linear motion. This section covers three quite old inventions. In a sense, these are some of the earliest modern machines.

Rotational to Linear mechanisms convert rotating motion into repetitive back-and-forth linear straight-line motion. The three main types are:

Slider-Crank: A rotating crank connects to a slider via a connecting rod, creating reciprocating linear motion. Common in engines and compressors.

Scotch Yoke: A pin on a rotating disk moves within a slotted yoke, creating pure sinusoidal motion. Used in valve actuators and some specialized engines.

Whitworth Quick Return: An offset crank mechanism where the forward stroke takes longer than the return stroke. Common in machine tools like shapers where work is done only on the forward stroke.

With the exception of the Quick Return, these mechanisms can be run in either direction. The slider crank is visible on the outside of a steam train engine. A gasoline engine piston crank is similar as wel.

Key Facts

  • Slider-Cranks have higher mechanical efficiency but more parts and friction points.
  • Scotch Yokes provide true sinusoidal motion but experience high sliding friction. These mechanisms are less used in modern times as the yoke tends to wear out due to friction.
  • Side forces must be managed in all designs to prevent binding and wear.
  • The stroke length is determined by the crank radius and offset distance.

View in 3D

iPhone Augmented Reality Viewer

Display

This model demonstrates three rotational-to-linear conversions:

  • Top: Classic slider-crank with visible connecting rod
  • Middle: Scotch yoke showing pin and slot interaction
  • Bottom: Quick return mechanism demonstrating asymmetric motion

The display runs at approximately 100 RPM.

three Rotational to Linear mechanisms
Three Rotational to Linear mechanisms. From top to bottom, Slider Crank, Scotch Yoke, and Whitworth Quick Return mechanisms.
Source:mechanical-library.org
Three Rotational to Linear mechanisms
Three Rotational to Linear mechanisms. From top to bottom, Slider Crank, Scotch Yoke, and Whitworth Quick Return mechanisms.
Source:mechanical-library.org
Working model of rotational to linear display model
Working model of rotational to linear display model
Source: mechanical-library.org

Images

3D model of Slider Crank mechanism
3D model of Slider Crank mechanism
Source: mechanical-library.org
3D model of Scotch Yoke mechanism
3D model of Scotch Yoke mechanism
Source: mechanical-library.org
3D model of Quick Return mechanism
3D model of Quick Return mechanism
Source: mechanical-library.org
Crank and Slider mechanism diagram
Crank and Slider mechanism diagram
Quick return mechanism diagram
Quick return mechanism diagram
Shaper machine showing a conceptual Quick return mechanism
Shaper machine showing a conceptual Quick return mechanism
Industrial Universal Joint
Slider cranks are visible drivings an oil pumpjack.
Shaper Machine
Shapers were very important early Industrial Revolution machines
Diagram showing motion of shaper using a quick return mechanism
Diagram showing motion of shaper using a quick return mechanism
Diagram of a quick return mechanism
Diagram of a quick return mechanism
Clark Collection Slider Yoke demonstration model
Clark Collection Slider Yoke demonstration model 14
Clark Collection Slider Yoke demonstration model
Clark Collection Slider Yoke demonstration model 14
Clark Collection Model: 147 Oscillating Cylinder Engine
Clark Collection Model: 147 Oscillating Cylinder Engine
Slider-Crank Linkage With Variable Angle Slider
Slider-Crank Linkage With Variable Angle Slider
Eccentric  Slider Mechanism
Eccentric-Slider Mechanism

Videos

A Scotch yoke animation, showing the sinusoidal (sine wave) of the back and forth motion.
Source: mechanical-library.org
Converting Rotational Motion into Linear Motion - Mechanical Principles

Scotch Yoke Mechanism

Scotch Yoke Mechanism built as a Motion Study in Fusion 360.
Real life Scotch Yoke mechanism build
Wooden Scotch Yoke Demonstration

Slider Crank Mechanism

Slider-Crank animation
Kinematics lecture on the Slider-Crank mechanism

Whitworth Quick-Return Mechanism

Whitworth Quick-Return Mechanism
Whitworth Mechanism - 6 Variations of movement
Kinematics Explanation of Quick Return Mechanism
Quick Return Mechanism Animation

3D Printing

 Simple press-fit scotch yoke
Simple press-fit scotch yoke
 Simple press-fit scotch yoke
Scotch Yoke Fidget
Simple press-fit scotch yoke
3D Printed Scotch Yoke Mechanism with a 6VDC gear motor
 Scotch Yoke Mechanism
Scotch Yoke Mechanism
3D Print of Slider-crank linkage
Snap fit Slider crank mechanism
3D Print of Slider-crank linkage
Slider-crank linkage
3D Print of Slider-crank linkage
Slider-Crank Linkage (Cookie Clicker irl cheat code)
Slider crank mechanism
Whitworth quick return mechanism
Whitworth quick return mechanism
 Quick return mechanism
Quick return mechanism

Mechanism in Legos

Lego Slider Crank and Scotch Yoke mechanisms
Lego Slider Quick Return mechanism
Lego slider crank
Slider crank mechanism by bricksngears
Slider Crank Linkage with Steps
Slider-Crank Linkage - Mechanical Principles - Lego Technic
Lego technic scotch yoke
LEGO MOC - Scotch Yoke Mechanism
Quick Return Mechanism
Quick Return Mechanism in LEGO Technic
Drag Link Quick Return Mechanism

History

The conversion of rotary to linear motion was crucial to the Industrial Revolution. Early steam engines used beam engines before the development of the slider-crank. The Scotch yoke emerged in the 19th century for applications requiring smoother motion. Quick return mechanisms were developed for machine tools to improve efficiency.

James Watt's parallel motion mechanism (1784) was an early attempt at converting rotary to linear motion while maintaining a straight line path.

History of Sir Joseph Whitworth

Research