1. What is True Position in Polar Coordinates?

True Position in polar coordinates is a geometric tolerance that defines a zone within which the center or axis of a feature must lie. It's calculated based on deviations from the theoretically exact position.

2. How Does the Calculator Work?

The calculator uses the True Position formula for polar coordinates:

Where:

• \( dx \) — Deviation in the X-axis from nominal position
• \( dy \) — Deviation in the Y-axis from nominal position

Explanation: The formula calculates the diameter of the tolerance zone by doubling the radial deviation from the nominal position.

3. Importance of True Position Calculation

Details: True position is crucial in engineering and manufacturing for ensuring proper fit and function of assembled parts, especially in precision applications.

4. Using the Calculator

Tips: Enter the measured deviations in X and Y directions from the nominal position. The calculator will determine the true position tolerance diameter.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between Cartesian and Polar True Position?
A: Cartesian uses direct X,Y coordinates while polar uses radius and angle, but the calculation converts to Cartesian for the position tolerance.

Q2: Why multiply by 2 in the formula?
A: The multiplication by 2 converts the radial deviation to a diameter value, which is how true position tolerance zones are typically specified.

Q3: What units should I use?
A: Use consistent units (mm, inches, etc.) for both dx and dy inputs. The result will be in the same units.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your measurement inputs.

Q5: Can this be used for 3D true position?
A: This calculator is for 2D position. 3D position would require adding a dz component to the calculation.