Estimate the practical planar work envelope of a collaborative robot from its reach and usable angular sweep. Apply clearance and obstruction allowances to turn a geometric sector into a planning estimate for fixture placement, table layout, and station coverage.
Usable area = (sweep angle ÷ 360) × π × (outer radius² − inner radius²) × (1 − clearance reduction).
The main result is a planning estimate based on the entered operating assumptions. Supporting metrics show the intermediate capacity, cost, energy, or utilization effects that drive it.
This tool is an operational estimate, not a manufacturer guarantee. Confirm safety limits, local rules, equipment specifications, and site conditions before deployment.
A 1,300 mm reach, 250 mm inner exclusion, 270° sweep, and 15% clearance allowance gives about 3.26 m² of usable planar coverage.
It uses only the values entered above and the formula shown on this page. The estimate does not automatically account for site-specific constraints that are not entered.
Use measured logs from comparable shifts or missions when possible. If records are unavailable, test conservative and optimistic scenarios instead of relying on a single guess.
Weather, downtime, route geometry, operator procedures, equipment condition, payload, and unplanned interruptions can change actual performance.
Yes where the field allows zero. Required time, capacity, rate, or workload inputs must remain greater than zero so the calculation stays meaningful.
Keep the displayed estimate for comparison, but round fleet requirements up to whole machines and add operational contingency where missed deadlines carry a cost.
| Variable | Meaning |
|---|---|
| Outer radius | Published maximum reach |
| Inner exclusion | Area near the base that is not used |
| Clearance reduction | Planning allowance for obstacles and safety spacing |