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Degrees per Second to RPM

Degrees per Second to RPM

A camera head's pan or tilt rate in degrees per second beside its RPM equivalent, with the time each rate takes to swing the lens through ninety degrees.

Pan and Tilt Rates as the Operator Behind the Head Feels Them

Every pan-tilt-zoom dome and every three-axis camera gimbal publishes its motion in degrees per second: a crawl at the bottom of the manual range, a much brisker figure for recalling a preset, and a separate pair of numbers for tilt because the tilt axis never gets to complete a turn. Motor and slip-ring suppliers, torque tables and the mechanical side of a housing design all speak revolutions per minute instead. Anyone comparing two heads on paper, matching a stabiliser to a lens or explaining to a mechanical engineer how fast the yoke really moves ends up needing both figures side by side.

Conversion factor: divide by 6, since a revolution is 360° and a minute is 60 seconds. A head recalling a preset at 400 °/s is therefore turning at 66.67 RPM, while a documentary-paced 6 °/s pan works out at precisely 1 RPM — one lazy circuit of the room per minute.

Why the Two Speed Ranges Never Meet

Framing Is Angular, So the Spec Sheet Is Too

What the shot cares about is how quickly the field of view slides across the scene, and tilt is usually boxed into a range well under a full turn. Quoting a fraction of a revolution per minute for a move that never completes one would tell an operator nothing useful.

The Shutter Decides How Far a Pan Smears

Angular rate multiplied by exposure time gives the arc swept while the sensor is open. At 30 °/s with a 1/50 s shutter that is 0.6°; across a 63° horizontal field on a 1 920-pixel frame it smears roughly 18 pixels, which is visible on a static edge.

Preset Slew and Manual Pan Are Different Machines

A dome that tops out near 100 °/s under the joystick will happily fling itself to a stored position several times faster, because nobody is watching that transit. The two figures live in separate rows of the datasheet for exactly that reason.

A Joystick Commands a Rate, Not a Position

Deflection maps onto degrees per second, usually along a curve that keeps the first third of travel very slow so fine framing stays possible, then opens up steeply for chasing something across the frame.

Planning a Move Before the Head Is Mounted

Four things worth settling while the rig is still on the bench rather than up a pole.

1

Enter the rate the datasheet actually quotes

Take the manual pan figure and the preset figure separately, and keep tilt apart from pan since the two axes rarely match. The field opens at 1 and recalculates on every keystroke, so working down a row of specifications is quick.

2

Turn the rate into a move time for the shot you want

Divide the angle of the move by the rate before trusting a number: 90° at 2 °/s takes 45 seconds, the same 90° at 100 °/s is gone in under a second. That arithmetic is what separates a usable rehearsal from an unpleasant surprise on the take.

3

Hand the revolutions-per-minute figure to the mechanical side

Slip rings, belt reductions and the motor itself are all specified in revolutions per minute, so the converted value is the one that belongs in a mechanical review or a torque calculation for the yoke.

4

Work backwards from a motor figure

If the known quantity is what the drive can deliver, the swap arrows reverse the pair and give the degrees per second an operator would see; typing into the second box works identically, since both fields accept input. Copying returns the digits alone, ready for a comparison table or a tour configuration sheet.

Pan Rates from a Slow Reveal to a Preset Slew

The rates below run from the slowest deliberate move a head can hold to the fastest transit it will make between stored positions. The last column gives the time for a quarter turn, which is a more honest way to picture a rate than the rate itself.

Kind of moveAngular rateRevolutions per minuteTime for a 90° move
Slow reveal across a landscape0.5 °/s0.083 RPM180 s
Gentle joystick creep for fine framing2 °/s0.333 RPM45 s
Documentary pan across a room6 °/s1 RPM15 s
Gimbal following someone on foot30 °/s5 RPM3 s
Joystick tracking a moving vehicle100 °/s16.67 RPM0.9 s
Whip pan, one full turn per second360 °/s60 RPM0.25 s
Preset recall on a surveillance dome400 °/s66.67 RPM0.225 s

Notice how quickly the useful range collapses. Everything an operator would call a considered move sits below 1 RPM, and the whole cinematic band lives inside the first tenth of a revolution per minute. Once past about 5 RPM the picture has stopped being a pan and started being a transition, which is why heads that boast enormous slew figures still feel sluggish on the stick if the low end of their rate curve is coarse.

Two Datasheets Compared on One Scale

Heads quoted in different ways stop being guesswork once both pan figures land in the same unit, which is usually what settles a shortlist between two domes.

A Rehearsed Rate Chosen Before the Take

Trying a few candidate rates against the angle of the intended move turns a vague instruction like slower into a figure the operator can actually dial in.

Tilt Figures Kept Separate from Pan

Running the tilt specification through on its own keeps the slower axis honest, since a head that pans briskly often tilts at half the rate or less.

Values Copied into a Preset Tour Sheet

Copying yields the bare number with no unit attached, which drops cleanly into a tour dwell-and-speed table or a commissioning checklist.

Questions from Behind the Joystick

How much does panning at a given rate smear the picture?

Multiply the rate by the exposure time to get the arc swept while the shutter is open, then work out what fraction of the frame that arc represents. Panning at 30 °/s with a 1/50 s exposure sweeps 0.6°; on a lens giving roughly 63° horizontally across 1 920 pixels, that is about 18 pixels of horizontal blur on anything with a hard edge. Push to 100 °/s with a 1/100 s shutter and the sweep is a full degree, around 30 pixels. Zooming in makes it dramatically worse, because a long lens covers only a few degrees across the whole frame, so the same angular rate turns into many times the pixel displacement. That is why a tight shot needs a far slower pan than a wide one to look equally smooth.

Why is preset recall so much faster than the fastest manual pan?

Because the two moves have opposite goals. A manual pan is the shot, so it has to stay watchable and controllable, which caps the rate at something a human hand can modulate. A preset transit is dead time between two shots, and the only thing that matters is arriving quickly and stopping exactly on the stored coordinates. The controller can therefore run a full acceleration ramp to whatever the mechanics allow and brake hard at the far end, using closed-loop position feedback that does not care what the picture looks like en route. Many domes deliberately blank or freeze the video during the transit for the same reason. When comparing products, the preset figure describes how responsive the system feels to a guard clicking a map, while the manual figure describes how it feels to shoot with.

Why do camera head datasheets quote degrees per second instead of revolutions?

Because almost nothing a camera head does is a revolution. Tilt is typically fenced into something like 200° of travel and often much less; pan may be continuous on a dome but is limited by cabling on many gimbals and on any yoke without a slip ring. Expressing a move as 0.083 revolutions per minute would be technically correct and practically useless. Degrees also line up with everything else in the workflow: field of view is in degrees, preset coordinates are in degrees, the site plan showing what each camera can see is drawn in degrees. Keeping the speed unit in the same currency as the angles means an operator can reason about coverage and timing without translating anything — until the conversation moves to motors and mechanics, at which point the revolution count is what the other side needs.

What pan rate looks cinematic rather than nervous?

The usual working rule is to time the move rather than pick a speed: a pan that reads as composed generally takes several seconds to travel one frame width, and a slow reveal can take far longer. Convert that into a rate by dividing the lens's horizontal field of view by the seconds you want it to take. A wide lens covering 60° crossed over six seconds is 10 °/s; a 20° lens crossed over the same six seconds is only 3.3 °/s. Both feel similar on screen even though one number is triple the other, which is precisely why quoting a favourite speed without saying what lens it was for leads nowhere. Ease the start and the stop as well — a constant-rate move that begins and ends abruptly reads as mechanical no matter how well the middle is judged.

How does joystick deflection turn into an actual pan rate?

The stick sends a proportional command that the head interprets as a target rate, with full deflection mapped to the manual maximum. Almost nobody makes that mapping linear, because a linear stick gives a useless amount of speed in the first few millimetres of travel and makes fine framing impossible. Instead the curve is squared or cubed, so the first third of the stick covers only a small slice of the rate range and the last third opens up sharply. Two other settings sit on top: a dead band around centre stops a slightly worn stick from drifting the shot, and a zoom-proportional option scales the whole curve down as the lens goes long, so the same physical deflection produces a much slower pan when tight. If a head feels twitchy, that last setting is usually the one that has been left switched off.

deg/s
RPM

Pan Rates a Camera Head Can Hold

0.5 deg/s=0.083 RPM
2 deg/s=0.333 RPM
6 deg/s=1 RPM
30 deg/s=5 RPM
100 deg/s=16.67 RPM
400 deg/s=66.67 RPM

Degrees per Second (deg/s)

The unit a pan-tilt head is specified in, because framing, preset coordinates and site coverage plans are all angular and a tilt axis never completes a turn. Rate times exposure time gives the arc a shot smears over.

Revolutions per Minute (RPM)

The currency of the mechanics underneath: drive motor, belt reduction and slip ring. Converting the pan specification into it is what lets a torque calculation or a housing review start.

Keep the manual pan figure and the preset slew figure apart — they sit in different speed bands
Divide the angle of your move by the rate to get the seconds it will take on screen
Run the tilt specification through separately, since most heads tilt slower than they pan
Copy gives the number alone, ready for a comparison sheet or a tour table
Want to learn more? Read documentation →
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