Robotics Math Center
Wheels, gearing, differential-drive models, robot arms and measured power. 20 tools with purposes, formulas and worked examples.
Simple mode uses starting defaults for extra scenario controls. Advanced exposes those controls where available. Change an entry, then press Calculate.
Complete truth table
Formula, calculation steps & example
All 20 tools: purposes and formulas
- Robot wheel circumference — Use the labeled measurements to calculate robot wheel circumference.
2π × A (A, B, C refer to the labeled entries)
- Wheel tangential speed — Use the labeled measurements to calculate wheel tangential speed.
A × B (A, B, C refer to the labeled entries)
- Encoder turns to distance — Use the labeled measurements to calculate encoder turns to distance.
A × B (A, B, C refer to the labeled entries)
- Encoder ticks to revolutions — Use the labeled measurements to calculate encoder ticks to revolutions.
A ÷ B (A, B, C refer to the labeled entries)
- Distance per encoder tick — Use the labeled measurements to calculate distance per encoder tick.
A ÷ B (A, B, C refer to the labeled entries)
- Drive gear reduction — Use the labeled measurements to calculate drive gear reduction.
A ÷ B (A, B, C refer to the labeled entries)
- Output shaft RPM — Use the labeled measurements to calculate output shaft rpm.
A ÷ B (A, B, C refer to the labeled entries)
- Ideal output torque — Use the labeled measurements to calculate ideal output torque.
A × B (A, B, C refer to the labeled entries)
- Nominal robot battery energy — Use the labeled measurements to calculate nominal robot battery energy.
A × B (A, B, C refer to the labeled entries)
- Robot energy budget runtime — Use the labeled measurements to calculate robot energy budget runtime.
A ÷ B (A, B, C refer to the labeled entries)
- Measured electrical power — Use the labeled measurements to calculate measured electrical power.
A × B (A, B, C refer to the labeled entries)
- Straight route time — Use the labeled measurements to calculate straight route time.
A ÷ B (A, B, C refer to the labeled entries)
- Two-link maximum geometric reach — Use the labeled measurements to calculate two-link maximum geometric reach.
A + B + … (A, B, C refer to the labeled entries)
- Static perpendicular arm moment — Use the labeled measurements to calculate static perpendicular arm moment.
A × B (A, B, C refer to the labeled entries)
- Steps to linear distance — Use the labeled measurements to calculate steps to linear distance.
A × B (A, B, C refer to the labeled entries)
- Steps for entered travel — Use the labeled measurements to calculate steps for entered travel.
ceiling(A ÷ B) (A, B, C refer to the labeled entries)
- Motor command duty fraction — Use the labeled measurements to calculate motor command duty fraction.
A ÷ B × 100 (A, B, C refer to the labeled entries)
- Sensor sample count — Use the labeled measurements to calculate sensor sample count.
A × B (A, B, C refer to the labeled entries)
- Segmented robot route length — Use the labeled measurements to calculate segmented robot route length.
A + B + … (A, B, C refer to the labeled entries)
- Rectangular field diagonal — Use the labeled measurements to calculate rectangular field diagonal.
sqrt(A² + B²) (A, B, C refer to the labeled entries)
Definitions and source references
Unit definitions and selected model references:
- Virginia Tech: wing geometry and mean aerodynamic chord
- Aircraft Design course: tail volume definitions
- Prusa: filament and printer calculation references
- NIST: SI defining constants
- NASA: aerodynamic lift models
- Horizon Hobby: product and battery documentation
- Smithsonian: Maya calendar units
- NIST: frequency intervals and cents
- NIST: binary prefixes
- NOAA: nautical miles and knots
- RFC 3021: IPv4 /31 point-to-point links
- MDN: exact integer arithmetic
- NIST: international-foot unit conversions
- NASA/JPL: astronomical unit definitions
- NASA: ideal rocket equation
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