Paper Machine Speed Calculator
Calculate required paper machine wire speed from production rate, trim width, basis weight, and machine efficiency. Includes reel timing and section speeds.
About this calculator
Paper machine speed and production rate are two sides of the same equation, and this calculator solves for the wire/reel speed needed to hit a daily tonnage target: speed (m/min) = production (t/day) × 1,000,000 ÷ (trim width in meters × basis weight in GSM × 1,440 minutes/day × efficiency). That's the production-rate formula rearranged — production in metric tons equals speed times trim width times GSM times minutes per day times efficiency, divided by a million to convert grams to tons — so entering a wider trim, heavier basis weight, or higher machine efficiency all reduce the speed required for the same tonnage. The efficiency input represents overall uptime accounting for downtime, breaks, and grade changes, and is capped between 50-100%, since real machines never run at nameplate speed continuously.
Beyond the headline speed (also converted to ft/min and km/hr), the calculator estimates reel change frequency by assuming a fixed 20-ton reel weight and computing how many linear meters of paper that represents at the given trim and basis weight, then dividing by machine speed to get minutes between reel changes. It also reports an estimated press-section speed using a fixed 1.5% draw — press sections conventionally run slightly faster than the wire to maintain sheet tension, though the real draw percentage varies by machine and grade, so treat that figure as a typical starting point rather than your actual drive-tuning target.
Inputs
Results
Machine speed (m/min)
943.5
How to Use This Calculator
- Enter your production target in metric tons per day (t/day).
- Input the trim width (m) and basis weight (GSM) for the grade being run.
- Set overall machine efficiency (%) to account for downtime and breaks.
- Review Machine Speed (m/min and ft/min), Production per Hour, and Reel Time.
- Use Press Section Speed to verify drive settings before a new grade change.
How the result changes with Trim width (m)
| Trim width (m) | Machine speed (m/min) |
|---|---|
| 2.5 | 1,887.1 |
| 3.75 | 1,258.1 |
| 7.5 | 629 |
| 12 | 393.1 |
What each input means
- Production target (t/day)
- Target paper production in metric tons per day.
- Trim width (m)
- Net sheet width at the reel in meters.
- Basis weight (GSM)
- Target paper weight in grams per square meter.
- Machine efficiency (%)
- Overall machine efficiency accounting for downtime, breaks, and grade changes.
What each result means
- Machine speed (m/min)
- Required wire/reel speed in meters per minute.
- Speed (ft/min)
- Machine speed in feet per minute.
- Speed (km/hr)
- Machine speed in kilometers per hour.
- Production (t/hr)
- Paper production per hour in metric tons.
- Area produced (m²/day)
- Total paper area produced per day.
- Reel time (min)
- Estimated minutes per reel change (assuming 20-ton reels).
- Press speed (m/min)
- Estimated press section speed with typical 1.5% draw.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersProduction target (t/day) = 500, Trim width (m) = 5, Basis weight (GSM) = 80, Machine efficiency (%) = 92 = 4 input(s) provided
- Calculate Machine speedMachine speed = (productionTPD * 1e6) / (trimWidthM * basisWeightGSM * minutesPerDay * effici...943.5 = 943.5
- Calculate SpeedSpeed = speedMPerMin * 3.280843095.6 = 3095.6
- Calculate SpeedSpeed = speedMPerMin * 60 / 100056.61 = 56.61
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
How does trim width or basis weight affect the speed needed for the same tonnage target?
The speed formula is production times 1,000,000 divided by (trim width times GSM times 1,440 minutes per day times efficiency), so trim width and basis weight both sit in the denominator alongside efficiency. Widening the trim or running a heavier basis weight lets the machine hit the same daily tonnage at a lower speed, since more paper mass is being laid down per meter of travel.
What does the efficiency input actually represent, and why is it capped at 50-100%?
Efficiency represents overall machine uptime accounting for downtime, breaks, and grade changes — it's a fraction, from 50-100%, that scales down effective production time rather than a measure of drive speed. It's floored at 50% because modeling lower efficiency would produce an unrealistically extreme required speed for typical tonnage targets, and capped at 100% because real paper machines never run at nameplate speed continuously.
How is the reel change time estimated?
The calculator assumes a fixed 20-ton reel weight, converts that to linear meters of paper using trim width and basis weight (reel weight divided by trim width times basis weight), then divides that length by machine speed to get minutes between reel changes. Since 20 tons is a common but not universal reel size, scale the result proportionally if your mill runs a different standard reel weight.
Why is press section speed different from the wire speed shown as the main result?
The calculator applies a fixed 1.5% draw to compute press-section speed, reflecting the convention that press sections run slightly faster than the wire to maintain sheet tension as paper transfers between sections. The real draw percentage varies by machine and grade, so the 1.5% figure is a typical starting point for checking drive settings, not your actual tuned value.
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