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disk-and-wheel integrator

instrument

Quick Summary

The disk-and-wheel integrator is a mechanical instrument used to perform mathematical integration. It is essential for solving differential and integral equations and generating various mathematical functions.1

This type of integrator features a wheel positioned in frictional contact with a disk, both mounted on perpendicular shafts. As the disk rotates, it causes the wheel to turn. The radius of the integrating wheel acts as a scale factor, and its placement on the disk represents the integrand. The total number of turns made by the integrating wheel, relative to the disk's rotation, corresponds to a definite integral of the function defined by the wheel's position.1

While electronic integrators have largely replaced mechanical ones, the disk-and-wheel design illustrates a fundamental principle of integration.1

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2 Britannica Sources
  1. integrator
  2. disk meter

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