Solve angle, height, and stack values for setups. Switch units, compare results, and plot trends. Use practical exports for repeatable workshop inspection records daily.
The graph shows the height required for angles across the current sin bar length.
| Case | Center Distance | Height Difference | Angle | Note |
|---|---|---|---|---|
| 1 | 100 mm | 17.3648 mm | 10.0000° | Simple setup check |
| 2 | 100 mm | 25.8819 mm | 15.0000° | Common angle reference |
| 3 | 200 mm | 51.7638 mm | 15.0000° | Longer bar example |
| 4 | 5 in | 1.2941 in | 15.0000° | Imperial unit setup |
A sin bar converts a known height difference into an angle. The core relation is:
sin(θ) = h / L
Here, θ is the angle, h is the height difference, and L is the center distance between the rollers.
For angle calculation:
θ = arcsin(h / L)
For required height:
h = L × sin(θ)
For setup correction between a current and target angle:
Adjustment = L × [sin(target angle) − sin(current angle)]
These relations are used in tool rooms, inspection benches, and precision setup work where angles must be produced or checked accurately.
A sin bar helps create or verify precise angles. It uses a simple trigonometric relationship. That makes it reliable for workshop setups. It is often paired with gauge blocks and surface plates.
This calculator handles three common tasks. It finds an angle from a known height difference. It finds the required height for a target angle. It also calculates the stack adjustment between a current angle and a target angle.
The roller center distance controls the entire calculation. A small input change affects the final angle. Longer bars usually give better setup sensitivity. Accurate measurement still matters at every stage.
Workshop drawings may show angles in decimal degrees or in degrees, minutes, and seconds. This page supports both styles. That reduces manual conversion work and lowers the chance of setup mistakes.
The result section shows the main answer and supporting details. That is helpful during inspection, setup review, or report preparation. The graph also shows how height changes across a range of angles for the selected bar length.
Many shops keep quick records for repeat jobs. The CSV file is useful for spreadsheets and internal logs. The PDF option creates a simple result sheet that can be printed or saved with job notes.
Use consistent units. Measure carefully. Confirm that the height difference is not greater than the bar center distance. For angle-based work, keep the target below ninety degrees. Those checks protect the validity of the sine relation.
This calculator is useful during precision machining, layout, metrology, gauge block planning, and repeat setup work. It saves time, reduces manual trig mistakes, and gives a clear summary for fast workshop decisions.
A sin bar helps set or inspect precise angles by combining a known center distance with a measured or required height difference.
The sine of an angle cannot exceed one. Since sin(θ) = h / L, the height difference cannot be greater than the center distance.
Yes. The calculator works with either unit. Keep all length values in the same unit for a valid result.
It shows how much the gauge stack must change when moving from a current angle to a target angle on the same sin bar.
Many engineering drawings and inspection sheets use DMS notation. The calculator lets you enter those values directly without separate conversion.
The graph follows the selected center distance and plots the related height curve. It supports setup understanding and quick comparison.
Yes. The required height output can be used as a target when selecting or combining gauge blocks for a workshop setup.
Yes. You can export the result summary as CSV or PDF for job files, inspection notes, or repeat setup documentation.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.