Torque-time duty arithmetic
Three-segment RMS torque
Inputs
Signed torque held constant for the stated first duration; zero and negative values are permitted.
Positive duration of the first user-defined duty segment.
Signed torque held constant for the stated second duration; zero and negative values are permitted.
Positive duration of the second user-defined duty segment.
Signed torque held constant for the stated third duration; zero and negative values are permitted.
Positive duration of the third user-defined duty segment.
Results
Declared duty-cycle time
4
Declared RMS torqueTrms
4.9497
Declared absolute peak torque
8
Declared signed mean torque
2.5
Trms = √[(T1²t1 + T2²t2 + T3²t3)/(t1 + t2 + t3)]
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Force & acceleration · Kinetic energy · Gravitational potential energy · Flywheel energy change
Method
Formula, when it applies, and when it does not
Calculate cycle time, absolute peak torque, and RMS torque from three signed torque/time segments without assessing motor thermal capacity.
Trms = √[(T1²t1 + T2²t2 + T3²t3)/(t1 + t2 + t3)]
When
- Three explicitly declared duty segments
- Constant torque within each segment
- User-entered segment durations
- Root-mean-square weighting
Don’t
- This applies a three-segment root-mean-square torque relation to user-entered constant torque/time values. It does not derive an axis motion profile or load, determine motor/drive thermal capacity, compare torque-speed curves, infer a duty cycle, select a motor/drive, establish safety, suitability, or approval.