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Shutter angle and exposure time calculator

Convert a cinema shutter angle to exposure duration at a chosen frame rate.

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Your result

Exposure duration0.02s
Reciprocal exposure denominator48
Exposure per frame50%

Calculator controls

How to calculate

Shutter angle and exposure timeShutter angle and exposure time1InputsCapture frame rate(fps) · Shutterangle (degrees)2MethodExposure duration =angle/(360*fps) s;Reciprocal exposuredenominator =360*fps/angle;…3Result0.020833333333333332s
Shutter angle and exposure timeA 180-degree angle exposes for half a frame period. At 24 fps, exposure is 1/48 second. Concept diagram; not to scale.Shutter angle and exposuretime1InputsCapture frame rate (fps) ·Shutter angle (degrees)2MethodExposure duration =angle/(360*fps) s; Reciprocal…3Result0.020833333333333332 sMyCalCute.com
A 180-degree angle exposes for half a frame period. At 24 fps, exposure is 1/48 second. Concept diagram; not to scale.

Convert a cinema shutter angle to exposure duration at a chosen frame rate.

Exposure duration = angle/(360*fps) s
Reciprocal exposure denominator = 360*fps/angle
Exposure per frame = angle/360*100 %

Worked example

  • Capture frame rate (fps): 24
  • Shutter angle (degrees): 180
  • Exposure duration: 0.02 s
  • Reciprocal exposure denominator: 48
  • Exposure per frame: 50 %

Assumptions and limits

A mathematical equivalent for constant frame rate. Camera readout, lighting flicker, available shutter settings and motion blur requirements are separate considerations.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Convert a cinema shutter angle to exposure duration at a chosen frame rate. A 180-degree angle exposes for half a frame period. At 24 fps, exposure is 1/48 second.

When this tool is useful

A 180-degree angle exposes for half a frame period. At 24 fps, exposure is 1/48 second.

Understanding your inputs

InputExample
Capture frame rate (fps) fps24
Shutter angle (degrees) angle180

Frequently asked questions

What does this estimate leave out?

A mathematical equivalent for constant frame rate. Camera readout, lighting flicker, available shutter settings and motion blur requirements are separate considerations.

How do I check the example?

Use the stated units and the formula below. Keep full precision until the final answer; change one input at a time to see its effect.