Robotics & Automation calculator
Robot Travel Time Calculator
Find how long a robot spends moving each cycle, and whether a move of average length reaches the programmed speed. You need the path length, the number of stops, and the programmed speed and acceleration.
What this calculator does
- Seconds a robot spends moving each cycle, from path length, stops, programmed speed and acceleration, and whether an average move reaches programmed speed.
Formula used
- Move length d = path length ÷ stops; acceleration a (mm/sec²) = m/s² × 1,000
- Peak speed = MIN(programmed speed, √(d × a)); full speed needs d ≥ programmed speed² ÷ a
- Travel time = stops × (d ÷ peak speed + peak speed ÷ a)
- Constant-speed time = path length ÷ programmed speed
- Speed-change overhead = (travel time ÷ constant-speed time − 1) × 100
Inputs explained
- Path Length per Cycle: Tool center point path from the simulation, or summed move lengths.
- Stops per Cycle: Points programmed with a full stop (fine, zero blend radius).
- Programmed Speed: Linear tool speed set in the move instructions.
- Acceleration: Tool acceleration set in the program or reported by simulation.
How to use the result
- Best suited to choosing between a faster speed setting and blending, estimating motion time before a cell quote.
- Jerk-limited (S-curve) acceleration and blended corners add time the trapezoid leaves out. Joint moves set as a percent of axis speed need their tool speed from a simulation.
Current U.S. benchmarks
- Global copper trades at $13,543 per tonne (IMF via FRED, Jul 2026), up 38.6% in a year, and U.S. industrial electricity averages 9.77 cents per kWh. Both feed electrified-hardware unit economics.
Common questions
- Why doesn't a higher programmed speed shorten my short moves? Because a short move runs out of distance before reaching that speed. A move needs programmed speed² ÷ acceleration to speed up and stop again: 200 mm at 1,000 mm/sec and 5 m/s². Shorter moves peak lower, so only higher acceleration or fewer stops helps.
- Where do I find the acceleration in m/s²? Read it from the move instruction or a simulation. Universal Robots linear moves (movel) take tool acceleration in m/s², default 1.2. If your program sets a percentage, time one measured move and solve for it.
- My moves differ in length; is an average good enough? Yes, and it errs on the long side. Each extra millimeter of a move costs no more time than the last, so splitting the same path unevenly never takes longer. It is exact when every move reaches programmed speed.
- Does travel time include gripper and I/O waits? No, it is motion only. Add gripper, handshake and programmed waits from Robot Dwell Time, then check the total against takt in Robot Cycle Time.
Last reviewed 2026-10-01.