1. What is 1 Degree to Mm Conversion?

This calculator converts angular measurements (1 degree) to linear measurements (millimeters) at a specified distance. This is useful in various engineering and manufacturing applications where small angular displacements need to be translated to linear movements.

2. How Does the Calculator Work?

The calculator uses the trigonometric tangent function:

Where:

• 1° — One degree of angular measurement
• distance — The linear distance from the pivot point (in mm)
• tan(1°) ≈ 0.017455

Explanation: The tangent function relates the angle to the ratio of opposite side (mm displacement) over adjacent side (distance from pivot).

3. Practical Applications

Details: This calculation is essential in precision engineering, CNC machining, optics alignment, and any application where small angular adjustments need to be quantified in linear terms.

4. Using the Calculator

Tips: Enter the distance from the pivot point in millimeters. The calculator will compute how many millimeters correspond to a 1 degree angle at that distance.

5. Frequently Asked Questions (FAQ)

Q1: How accurate is this conversion?
A: The calculation is mathematically precise, though practical accuracy depends on your measurement of distance and implementation.

Q2: Can I use this for angles other than 1 degree?
A: Yes, simply multiply the result by your desired angle (e.g., for 2.5°, multiply by 2.5).

Q3: Does this work for large distances?
A: Yes, though for very large distances (kilometers), other factors like Earth's curvature may become significant.

Q4: What's the conversion for 1 minute or 1 second of arc?
A: 1° = 60 minutes = 3600 seconds. Divide the 1° result by 60 for minutes or 3600 for seconds.

Q5: Can I use different units?
A: The calculator uses mm, but you can convert other units to mm before calculation.