Torque Calculator — τ = rF sin θ

Torque is what actually turns things — it depends on the force, how far from the pivot you push, and the angle of the push. Maximum at 90°.

Torque Calculator — τ = rF sin θ

τ=rFsin⁡θ\tau = rF\sin\theta

How to interpret the result

Pushing a door far from the hinge (large r) at a right angle (θ = 90°) gives the most turning effect for your effort.

Assumptions

  • Force applied at a single point
  • Angle-solving returns the acute solution; the obtuse supplement is also valid