ToolHub

Tension Calculator

Compute rope tension for hanging mass, angled ropes, and pulley systems with configurable gravity and unit conversion.

Formulas Used

  • T = mg (single hanging mass)
  • T1 = mg cos(theta2) / sin(theta1 + theta2)
  • T2 = mg cos(theta1) / sin(theta1 + theta2)
  • T = |m1 - m2|g (idealized pulley difference model)

Tension Analysis Details

  • - Assumes static or quasi-static 2D force balance.
  • - Rope and pulley are treated as massless and frictionless.
  • - Angles are interpreted from the horizontal support line.
  • - Gravity preset lets you compare Earth, Moon, and Mars conditions.
  • - Use chart mode to see sensitivity to mass or angle changes.

Calculation History