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An involute, specifically a circle involute, is a geometric curve that can be described by the trace of unwrapping a taut string which is tangent to a circle, known as the base circle. The circle involute has attributes that are critically important to the application of mechanical gears.
In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve.
Definition. A curve that is obtained by attaching a string which is imaginary and then winding and unwinding it tautly on the curve given is called involute in differential geometry. Involute or evolvent is the locus of the free end of this string. The evolute of an involute of a curve is referred to that original curve.
The curve most commonly used for gear-tooth profiles is the involute of a circle. This involute curve is the path traced by a point on a line as the line rolls without slipping on the circumference of a circle.
An involute curve is a specific type of curve that is defined by the rolling motion of a line that is tangent to a circle. The curve is widely used in the design of gears because it provides a smooth, uniform meshing action between gears, which reduces noise and wear.
Aug 13, 2023 · An involute curve is a curve obtained by winding a wire with a pencil on the outer periphery of a cylinder and gradually releasing the wire in a tense state. The curve drawn by the pencil is the involute curve, and the outer periphery of the cylinder is called the base circle.
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The circumference of the cylinder is called the base circle. Following are specific features of the involute curve. A perpendicular to the involute surface is always tangent to the base circle. The involute surface is a uniform rise cam (equal rise per in-crement of rotation).
