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Lid Hinge Sweep Tip Coordinate Tool

Calculate lid hinge sweep tip coordinate from explicit caller-supplied inputs.

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Description

Add radius × cosine and sine of angleRadians to hingeX and hingeY for the tip coordinate.

Ideal product geometry maps dimensions into lengths, areas, or coordinates under a stated shape model. A dimension ratio does not by itself establish manufacturability, strength, or usability.

Add radius × cosine and sine of angleRadians to hingeX and hingeY for the tip coordinate.

When to use this tool

Use Lid Hinge Sweep Tip Coordinate when you need one explicit product-geometry component.

How to use the tool and how it works

  1. Enter radius, angleRadians, hingeX, hingeY. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read x, y. Use the output convention below.

Add radius × cosine and sine of angleRadians to hingeX and hingeY for the tip coordinate.1

Input fieldMeaning and unitsAccepted input
radiusRadiusRequired. Finite number; minimum 0.
angleRadiansAngle RadiansRequired. Finite number.
hingeXHinge XRequired. Finite number.
hingeYHinge YRequired. Finite number.
Output fieldInterpretationReturned shape
xXRequired. Finite number.
yYRequired. Finite number.
json
{
  "input": {
    "radius": 2,
    "angleRadians": 0,
    "hingeX": 1,
    "hingeY": 3
  },
  "output": {
    "x": 3,
    "y": 3
  }
}

Limitations and assumptions

  • This is a point rotating in a plane, without part thickness, collision detection, tolerances, or safe travel limits.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the complete design model, material data, tolerances, and physical verification for engineering decisions.

References

  1. Calculation and input contract: industrial-design/lid-hinge-sweep-tip-coordinate — tool.io

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