Page 674 Penn Tool Co. Precision Tooling Buyer's Guide 2019
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How to Set Sine Tools
Setting Simple Sine Bars or Sine Plates
For measuring an angle or for locating work to a given angle, refer to Tables of Constants to determine
the corresponding distance which one end of the Sine Tool must be raised vertically from the true
surface of measurements to obtain a desired angle, — or, use Trig. Function Tables to find the Sine of
desired angle and multiply by 5 when using a 5 Sine Tool, or by 10 for a 10 Sine Tool.
Setting Compound Sine Plates
For Setting Two Known Angles at 90° to One Another
Example:
First Angle = 20° Second Angle = 30°
To Find:
Amount intermediate plate must be raised from base plate (distance X in dwg.)
to obtain desired First Angle.
1. Look up (in Trig. Function Tables) Cosine of Second Angle (30°) and Tangent
of First Angle (20°) and multiply one by the other.
2. Look up product derived from step one under Tangents (in Trig. Function Tables)
and note Sine of equal degrees.
3. This Sine is then multiplied by 5 (for a 5 Sine Plate) or by 10 (for a 10 Sine Plate)
and is the distance X which intermediate plate must be raised.
4. Wring Jo-Blocks together to equal dimension X and set in position between base
plate and intermediate plate.
Example:
COS. 30° = 0.86603
TAN. 20° = 0.36397
0.86603 x 0.36397 = 0.3152089391 (TAN.)
(TAN.) 0.3152089391 = 0.3006278538 (Sine)
0.3006278538 x 10 (10 Sine Plate) = 3.006
3.006 is distance X to raise intermediate plate
To Find:
Amount top plate must be raised (distance Y in dwg.) to obtain desired Second Angle.
1. Look up Sine of Second Angle (30°) and multiply by 5 (for a 5 Sine Plate) or by 10
(10 Sine Plate), which is the distance Y that top plate must be raised.
2. Wring Jo-Blocks together to equal dimension Y and set in position for a between intermediate plate
and top plate.
Example:
Sine of 30° = 0.5000
0.5000 x 10 (10 Sine Plate) = 5.000
5.000 is distance Y to raise top plate
How to Set Sine Tools
Setting Simple Sine Bars or Sine Plates
For measuring an angle or for locating work to a given angle, refer to Tables of Constants to determine
the corresponding distance which one end of the Sine Tool must be raised vertically from the true
surface of measurements to obtain a desired angle, — or, use Trig. Function Tables to find the Sine of
desired angle and multiply by 5 when using a 5 Sine Tool, or by 10 for a 10 Sine Tool.
Setting Compound Sine Plates
For Setting Two Known Angles at 90° to One Another
Example:
First Angle = 20° Second Angle = 30°
To Find:
Amount intermediate plate must be raised from base plate (distance X in dwg.)
to obtain desired First Angle.
1. Look up (in Trig. Function Tables) Cosine of Second Angle (30°) and Tangent
of First Angle (20°) and multiply one by the other.
2. Look up product derived from step one under Tangents (in Trig. Function Tables)
and note Sine of equal degrees.
3. This Sine is then multiplied by 5 (for a 5 Sine Plate) or by 10 (for a 10 Sine Plate)
and is the distance X which intermediate plate must be raised.
4. Wring Jo-Blocks together to equal dimension X and set in position between base
plate and intermediate plate.
Example:
COS. 30° = 0.86603
TAN. 20° = 0.36397
0.86603 x 0.36397 = 0.3152089391 (TAN.)
(TAN.) 0.3152089391 = 0.3006278538 (Sine)
0.3006278538 x 10 (10 Sine Plate) = 3.006
3.006 is distance X to raise intermediate plate
To Find:
Amount top plate must be raised (distance Y in dwg.) to obtain desired Second Angle.
1. Look up Sine of Second Angle (30°) and multiply by 5 (for a 5 Sine Plate) or by 10
(10 Sine Plate), which is the distance Y that top plate must be raised.
2. Wring Jo-Blocks together to equal dimension Y and set in position for a between intermediate plate
and top plate.
Example:
Sine of 30° = 0.5000
0.5000 x 10 (10 Sine Plate) = 5.000
5.000 is distance Y to raise top plate
