Camera Shutter Angle Calculator

Camera Shutter Angle Calculator

Frame-rate numerator: 25 Frame-rate denominator: 1 Shutter angle (°): 180

Enter the sensor capture frame rate as a numerator divided by a denominator, then enter the shutter angle. Use the capture rate, not a different project playback rate. For rate F = numerator / denominator and angle A, exposure time t = A / (360 × F) seconds. The reciprocal shutter speed is 1/t; the frame interval is 1000/F milliseconds and the exposed fraction is 100 × A/360 percent. At 25/1 fps and 180°, exposure is 20 ms, equivalent to 1/50 second, during a 40 ms frame interval. The two rate fields require integers: numerator 1–240000 and denominator 1–1001, with the resulting rate restricted to 1–240 fps. Angle accepts decimals from 0.1–360°. Use 30000/1001 or 24000/1001 for exact broadcast-style fractions instead of rounding the rate to 29.97 or 23.976. At 30000/1001 and 180°, exposure is 16.683333 ms and the reciprocal is about 59.940060 per second. A decimal angle such as 172.8° is supported. Results use unrounded intermediate values and show six decimals. At a fixed angle, doubling capture rate halves exposure time. At a fixed rate, doubling angle doubles exposure and the exposed frame fraction. The 180° default is a calculation example, not a recommended setting for every shot. A modeled 360° covers a full frame interval; a particular camera may not offer that value. Hardware may quantize available rates, angles or exposure times. This is a timing conversion, not a flicker-free lighting recommendation. It does not model LED PWM, mains frequency, rolling shutter, display scan timing, sensor readout or camera-to-screen synchronization. It does not estimate scene brightness or motion blur for a moving subject. Test the actual camera, lighting and display combination before a show. Copy, download or print inputs, all timing values and assumptions together. Blank, fractional rate fields or invalid values remove previous results.