= Torsion spring
{title2=$\tau=-\kappa\Delta\theta,\quad U=\tfrac12\kappa(\Delta\theta)^2$}
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= Torsional spring
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An ideal linear torsion spring exerts a restoring <torque> proportional to the relative <angle> between its two ends. Integrating the torque gives its <elastic potential energy>. A spring connecting two rotating bodies contributes $\kappa(\theta_2-\theta_1)^2/2$ to the <potential energy>; a spring connected to a fixed frame is obtained by setting one angle to zero. The coefficient $\kappa$ is the <torsional spring constant>.
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