16 mm Projector Mechanism

2D twin of the 3D exploded projector: intermittent film motion, the shutter that hides it, and the reels that wind it.

Presets

Playback

Film, shutter and screen

Each crank turn pulls one frame down while a blade covers the lens; extra blades raise the flash rate without changing the frame rate.

Model checks

The science

What is modelled

A cycloidal claw moves the film one frame pitch (7.62 mm) in part of each turn and then holds it still. A continuously driven sprocket feeds the loop above the gate. A shutter with one to three blades turns once per frame, hiding the pull-down and adding extra flashes to hide flicker.

Equations

  • Cycloidal pull-down s = p (x - sin(2 pi x) / 2 pi), x the fraction of the pull-down angle; peak speed 2 times the mean.
  • Loop swing: largest gap between claw and sprocket motion, where their speeds are equal, 1 - cos(2 pi x) = pull-down / 360.
  • Open time 1 - n beta / 360; flash rate fps x n.
  • Flicker estimate CFF = 40 + 12.5 log10(L / 55) Hz; reel radius sqrt(r0^2 + t length / pi).

Checks run in the page

  • Film feed from the integrated claw speed, in ft/min.
  • Peak and end speeds of the cycloid.
  • Loop swing against its formula.
  • Shutter open fraction and pull-down coverage.
  • Flicker threshold and blade count, and reel winding.

Honest simplifications

Rigid parts and a simplified cycloidal claw; the flicker law is a rough Ferry-Porter style estimate for a bright screen, 0.14 mm film and a 25 mm core are typical but assumed, and gate friction, film shrinkage and loop dynamics are not modelled.

What to try
  • Press Mistimed shutter: part of the pull-down is visible as a travel ghost.
  • Press Silent speed, one blade: 16 flashes a second flicker.
  • Press Three blades, brighter screen to see how the flash rate beats the flicker threshold.
Film displacement against crank angle
Claw speed and shutter against crank angle
Flicker threshold against screen luminance
Take-up reel speed against running time
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