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Shutter Angle & 180° Rule Calculator

Convert shutter angle to shutter speed for any frame rate (180° rule = 1/(2 × fps)) — cinematic motion blur at 24, 25, 30, 60 and 120 fps — with flicker-safe speeds for 50 Hz and 60 Hz lighting.

Frame rate
Shutter angle
Local mains frequency (for flicker)
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How it works

Shutter speed = 1 ÷ (fps × 360 ÷ angle); 180° → 1/(2 × fps); flicker-safe: exposure = n ÷ (2 × mains Hz)

Film cameras expose each frame while a rotating disc with a cut-out sweeps past the gate; a 180-degree opening exposes for exactly half of each frame’s duration, so at 24 fps the shutter is open for 1/48 second. That amount of motion blur is what audiences have learned to read as “cinematic”, hence the 180-degree rule: set the shutter speed to double the frame rate. Smaller angles freeze motion and look jittery (used deliberately in action sequences); larger angles smear it. Digital cameras express the same thing as a shutter speed, and when the frame rate changes — slow-motion at 120 fps, say — the speed must change with it to keep the look. Artificial light pulses at twice the mains frequency, so exposures that are not whole multiples of 1/100 or 1/120 s can produce rolling flicker.

Worked example

24 fps at 180°: 1/48 s (20.8 ms). Shooting 120 fps slow motion at the same angle needs 1/240 s. Under 50 Hz lights, 1/50 or 1/100 avoids flicker.

Frequently asked questions

My camera only offers 1/50, not 1/48 — does it matter?

No — the difference is invisible, and 1/50 is flicker-safe in 50 Hz countries. In 60 Hz countries 1/60 is the usual stand-in.

Why is my daylight footage overexposed at 1/48?

Because the shutter is fixed by the rule, exposure must be controlled with aperture, ISO and — most often — neutral-density filters; a variable ND is standard kit for video.

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This calculator is for educational purposes. Double-check important results before acting on them.