Enter the length of the sine bar and the desired angle into the calculator to determine the height of the gage block.

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## Sine Bar Formula

The following formula is used to calculate the height of a gauge block.

GH = SBL * sin(A)

- Where GH is the gauge block height
- SBL is the sine bar length
- A is the angle of the block

To calculate the gauge block height of sine bar, multiply the sine bar length by the sine of the angle of the block.

## Sine Bar Definition

A sine bar is a type of measurement device, that when used with a gauge block, can accurately determine angular measurements.

This is typically used in machining practices to locate any work to a given angle.

The angles are most often in units of degrees, minutes, and seconds.

## Example Problem

How to calculate a sine bar?

**First, determine the sine bar length.**Measuring the length for this example yields a total distance of 5 inches.

**Next, determine the angle.**Measuring the angle yields an angle of 20 degrees, 40 minutes, and 20 seconds.

**Next, convert the angle from degrees, minutes, and seconds into degrees.**To do this is done using the formula 20+ 40/60+20/360 = 20.722 degrees.

**Finally, calculate the gauge block height using the formula above.**GH = SBL * sin(A)

GH = 5*sin(20.722)

GH = 1.769 inches.