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In mathematics and physics, the plate trick, also known as Dirac's string trick (after Paul Dirac, who introduced and popularized it), [1] [2] the belt trick, or the Balinese cup trick (it appears in the Balinese candle dance), is any of several demonstrations of the idea that rotating an object with strings attached to it by 360 degrees does not return the system to its original state, while ...
Some treadmills consist of a linear belt (single [33] or split belt [34]) that constrains the animal to forward walking, while others allow 360 degrees of rotation. [ 35 ] [ 36 ] [ 34 ] Non-motorized treadmills move in response to an animal's self-initiated locomotion, while motorized treadmills externally drive locomotion and are often used to ...
The common myth often refers to the draining action of flush toilets and bathtubs. In fact, rotation is determined by whatever minor rotation is initially present at the time the water starts to drain, as the magnitude of the coriolis acceleration is negligibly small compared to the inertial acceleration of flow within a typical basin. [442]
corresponds to a vector rotation through an angle θ about an axis defined by a unit vector v = a 1 σ 1 + a 2 σ 2 + a 3 σ 3. As a special case, it is easy to see that, if v = σ 3, this reproduces the σ 1 σ 2 rotation considered in the previous section; and that such rotation leaves the coefficients of vectors in the σ 3 direction ...
In three dimensions, angular displacement is an entity with a direction and a magnitude. The direction specifies the axis of rotation, which always exists by virtue of the Euler's rotation theorem; the magnitude specifies the rotation in radians about that axis (using the right-hand rule to determine direction).
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The above definition is part of the ISQ, formalized in the international standard ISO 80000-3 (Space and time), [87] and adopted in the International System of Units (SI). [88] [89] Rotation count or number of revolutions is a quantity of dimension one, resulting from a ratio of angular displacement. It can be negative and also greater than 1 ...
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