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22 sie 2024 · sigma=1/tau, where tau is the torsion. The symbol phi is also sometimes used instead of sigma.
- Torsion
The torsion of a space curve, sometimes also called the...
- Torsion
23 wrz 2016 · Both have inverse-length as units, so their reciprocals $\frac{1}{\kappa}$ and $\frac{1}{\tau}$ have units of length, and are called "radius of curvature" and "radius of torsion". I understand that radius of curvature is the radius of a curve's osculating circle at a point.
In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the pascal (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf).
25 wrz 2024 · The torsion of a space curve, sometimes also called the "second curvature" (Kreyszig 1991, p. 47), is the rate of change of the curve's osculating plane. The torsion tau is positive for a right-handed curve, and negative for a left-handed curve.
In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve.
10 gru 2015 · 1: What is a geometric interpretation of torsion? For curvature I understand it as the reciprocal of the radius of the circle around which a point is moving at a given instant. But the description in the link says torsion "is the rate of change of the curve's osculating plane".
This is the magnitude of the rate of change of a unit vector in the direction of motion with distance s along the curve. Its dimension is that of an inverse length, and its reciprocal 1/, is called the radius of curvature.
