// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
eng.robot-joint-torque Calculator
Calculates joint torque requirements for a robot arm from link masses, lengths, and end-effector payload using Newton-Euler dynamics. Robot joint torques determine motor sizing — the worst case is typically at maximum extension with maximum payload at the slowest speed.
Inputs
Link Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Link Length M
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Payload Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Gravity G M S2
Rate of velocity change (m/s²). Earth's gravity: 9.81 m/s². Objects in free fall accelerate at this rate.
Joint Angle Deg
Reference formula or conversion factor shown for context.
Results
gravitational joint torque (N·m)
Rotational force (N·m) = force × perpendicular lever arm. High torque at low RPM is ideal for hauling; high RPM suits high-speed applications.
link weight component (N)
The computed weight (gravitational force) or mass.
payload torque (N·m)
Rotational force (N·m) = force × perpendicular lever arm. High torque at low RPM is ideal for hauling; high RPM suits high-speed applications.
T = (m·L/2 + m_p·L)·g·cos(θ)
Reference formula or conversion factor shown for context.
add dynamic torque
Rotational force (N·m) = force × perpendicular lever arm. High torque at low RPM is ideal for hauling; high RPM suits high-speed applications.
safety factor
A dimensionless multiplier applied in the calculation.