BIZOMAT MAKEOS · Quality
Sine Bar Height
What height difference sets this angle?
Calculate the height difference between equal-diameter sine-bar rollers for an entered angle.
Open the calculatorRuns in your browser. No account needed.
How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Roller centre distance | mm | Calibrated distance between the roller centres, not the overall bar length. |
| Setting angle | ° | Angle from the reference plane. |
What each input means
Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.
What this means: Roller centre distance
- What it is
- The distance between the centres of the two rollers of the sine bar, the calibrated size it is named by.
- Units and format
- Enter a number in mm: millimetres. The form accepts 0.001 mm to 1000000 mm. Required: the tool does not calculate until every input is valid.
- Example
- The form opens with 200 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
- Effect on the result
- The gauge block height is directly proportional to this distance.
- Get it right
- Use the roller centre distance from the calibration record, not the overall bar length.
What this means: Setting angle
- What it is
- The angle you want the top face of the sine bar to make with the surface plate or reference plane.
- Units and format
- Enter a number in °: degrees of angle. The form accepts 0° to 89°. Required: the tool does not calculate until every input is valid.
- Example
- The form opens with 30° as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
- Effect on the result
- Height rises with the sine of the angle; at steep angles a small height error gives a larger angle error.
- Get it right
- Enter decimal degrees: 30° 15′ is 30.25°.
Method and formulas
- Height difference = roller centre distance × sin(angle).
- Example: a 200 mm centre distance at 30° requires a 100 mm height difference.
- A one-micrometre height change gives approximately 0.001 ÷ (length × cos(angle)) radians of angular change.
Limitations
- Assumes equal rollers, clean contacts and correct bar geometry.
- At steep angles, height errors cause larger angular errors; the tool does not certify measurement uncertainty.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- sine bar
- gauge blocks
- angle setting
Who it is for
- Inspectors
- Toolmakers
What you get
- Height difference
- Angle change per 1 µm height error
Interpreting the result
- Use calibrated blocks and the instrument’s permitted angle range.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 678–680. Topic reference; no source tables or recommended settings are reproduced.
- NPL, Fundamental Good Practice in Dimensional Metrology, GPG 80 — https://eprintspublications.npl.co.uk/3360/1/mgpg80.pdf
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