Angular Measurement tools in instrumentation
- 1. Lab # 4 Angular Measurement ML 312 Instrumentation & Measurement Lab
- 2. 2 Sizes (mm) Increments (mm) No. of Pieces 1.005 0.005 01 1.01-1.09 0.01 09 1.1-1.9 0.1 09 1-9 1 09 10-30 10 03 50 - 01 Total 32 Make a desire dimension of 32.5 mm using M32 gauge block set Quiz 2
- 3. 3 Angular Measurement • Circles are divided into 360 equal parts, each being a degree. • Each of these degrees can be evenly divided into 60 equal parts. These parts are called minutes. • These minutes can be evenly divided into 60 equal parts. These parts are called minutes.
- 4. 4 Angular Measurement • 1 Circle = 360 Degrees ( 360° ) • 1 Degree ( 1° ) = 1/360th of a Circle • 1 Degree ( 1°) = 60 Minutes ( 60' ) • 1 Minute ( 1' ) = 1/60th of a Degree • 1 Minute ( 1') = 60 Seconds ( 60" ) • 1 Second ( 1" ) = 1/60th of a Minute
- 5. 5 Angular Measurement • The unit of degree can also be divided into either decimal or fractional parts and is referred to as decimal degrees or fractional degrees respectively. • 1½ Degree = 1.5 Degree ( 1.5°) • 87¼ Degrees = 87.25 Degrees ( 87.25° )
- 6. 6 Angular Measurement • Minutes and seconds can each be expressed as decimal or fractional degrees. • 1 Minute ( 1' ) = 1/60th of a Degree = 0.01667° • 1 Second ( 1" ) = 1/60th of a Minute = 0.01667'
- 7. 7 Angular Measurement Change 5°25' to decimal degrees Divide the minutes by 60 Add 0.4167 to 5 = 5.4167° 5°25' = 5.4167° 25 divided by 60 = 0.4167
- 8. 8 Angular Measurement Change 27°52'35" to decimal degrees Divide the seconds by 60, add to minutes Divide the minutes by 60, add to degrees 27°52'35" = 27.8764° 35 divided by 60 = 0.5833 Added to the 52 minutes, it becomes 52.5833' 52.5833 divided by 60 = .8764 Added to the 27 degrees, it becomes 27.8764°
- 9. 9 Angular Measurement Change 47.75° to degrees, minutes, and seconds Multiply the decimal portion by 60 This decimal .75 becomes 45 minutes. Add this to the degrees. 47.75° = 47°45' 75 x 60 = 45 Since there isn't any decimal portion after the 45, no further work is necessary.
- 10. 10 Angular Measurement Change 82.3752° to Degrees, minutes, and seconds Multiply the decimal portion by 60 Multiply the decimal minutes by 60 82.3752° = 82°22'30.72" 0.3752 x 60 = 22.512 (the 22 becomes the minutes) Now add this to the degrees 0.512 x 60 = 30.72 Now add this to the degrees and minutes to become seconds. 82.3752° = 82°22.512'
- 12. 12 Angular Measurement • Most common tools • Simple Protractor • Multi-Use Gage • Combination Set • Universal bevel protractor • Sine bar • Sine plate
- 13. 13 Protractor
- 15. 15 Multi-Use Gage Pre-set positions for 45 and 90 degrees, 59 degree drill point angle, and whole degree increments.
- 16. 16 Multi-Use Gage Pre-set position for 90 degrees.
- 17. 17 Multi-Use Gage Pre-set position for 45 degrees.
- 18. Combination Set 18 • It is used as a rule, a square, a depth gage, a height gage, a level and for anglular measurement.
- 19. USING A COMBINATION SQUARE
- 20. USING A COMBINATION SQUARE • Using as a center head to find the diameter of a cylinder
- 22. Using as a protractor head to determine an angle • 1. • 3. • 2. • 4.
- 23. 23 Combination Set Protractor Whole degree increments
- 25. 25
- 27. 27 • Precision angles to within 5' (0.083º) • Consist of base • Vernier scale • Protractor dial • Sliding blade • Dial clamp nut Universal Bevel Protractor
- 28. 28 Universal Bevel Protractor Vernier Protractor • Used to measure obtuse angle (90º-180º) • Acute-angle attachment fastened to protractor to measure angles less than 90º • Main scale divided into two arcs of 180º • Scale divided into 12 spaces on each side of 0 • If zero on vernier scale coincides with line on main: reading in degrees
- 29. 29 Reading a Vernier Protractor • Note number of whole degrees between zero on main scale and zero on vernier scale • Proceeding in same direction, note which vernier line coincides with main scale line 50º Fourth • Multiply number by 5' and add to degrees on protractor dial 4 x 5'= 20' Reading = 50º 20'
- 30. Example 30 • The reading is 46° - 20‘
- 31. 31 Inclinometer
- 32. 32 Sine Bars • Used when accuracy of angle must be checked to less than 5 minutes • Consists of steel bar with two cylinders of equal diameter fastened near ends • Centers of cylinders exactly 90º to edge • Distance between centers usually 5 or 10 inches and 100 or 200 millimeters. • Made of stabilized tool hardened steel
- 33. Sine bars 33 • A sine bar is a tool used to measure angles in metalworking. • It consists of a hardened, precision ground body with two precision ground cylinders fixed at each end, the rollers are positioned at a precise distance and the top of the bar is parallel to the center line of the rollers. • The dimension between the two rollers is chosen to be a whole number (for ease of later calculations)
- 34. 34 Sine Bar
- 35. Sine bars 35
- 36. 36 Sine Bars • Used on surface plates and any angle by raising one end of bar with gage blocks • Made 5 inch or in multiples of 5 or 100 millimeters or multiple of 100 • Distance between lapped cylinders. • Face accurate to within .00005 in. in 5 inches or 0.001 mm in 100 mm.
- 37. 37 Sine Bars