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Angular Measurement

Angular Measurement. Session 2. 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.

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Angular Measurement

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  1. AngularMeasurement Session 2

  2. 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.

  3. 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

  4. 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° )

  5. 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'

  6. Angular Measurement Change 5°25' to decimal degrees Divide the minutes by 60 25 divided by 60 = 0.4167 Add 0.4167 to 5 = 5.4167° 5°25' = 5.4167°

  7. Angular Measurement Change 27°52'35" to decimal degrees Divide the seconds by 60, add to minutes 35 divided by 60 = 0.5833 Added to the 52 minutes, it becomes 52.5833' Divide the minutes by 60, add to degrees 52.5833 divided by 60 = .8764 Added to the 27 degrees, it becomes 27.8764° 27°52'35" = 27.8764°

  8. Angular Measurement Change 47.75° to degrees, minutes, and seconds Multiply the decimal portion by 60 75 x 60 = 45 This decimal .75 becomes 45 minutes. Add this to the degrees. Since there isn't any decimal portion after the 45, no further work is necessary. 47.75° = 47°45'

  9. Angular Measurement Change 82.3752° to Degrees, minutes, and seconds Multiply the decimal portion by 60 0.3752 x 60 = 22.512 (the 22 becomes the minutes) Now add this to the degrees 82.3752° = 82°22.512' Multiply the decimal minutes by 60 0.512 x 60 = 30.72 Now add this to the degrees and minutes to become seconds. 82.3752° = 82°22'30.72"

  10. Angular Measure Tools

  11. Angular Measurement • Most common tools • Simple Protractor • Multi-Use Gage • Combination Set • Universal bevel protractor • Sine bar • Sine plate

  12. Protractor

  13. Protractor Whole degree increments

  14. Multi-Use Gage Pre-set positions for 45 and 90 degrees, 59 degree drill point angle, and whole degree increments.

  15. Multi-Use Gage Pre-set position for 90 degrees.

  16. Multi-Use Gage Pre-set position for 45 degrees.

  17. Multi-Use Gage Measuring 59 degree drill point angle.

  18. Combination Set Protractor Whole degree increments

  19. Protractor Head Whole degree increments

  20. Protractor Built-in Spirit Level

  21. Protractor Angular Measure with Protractor Head

  22. Transfer-type Protractors

  23. Universal Bevel Protractor • Precision angles to within 5' (0.083º) • Consist of base • Vernier scale • Protractor dial • Sliding blade • Dial clamp nut

  24. Vernier Protractor • Used to measure obtuse angle (90º-180º) • Acute-angle attachment fastened to protractor to measure angles less than 90º • Main scale divided intotwo arcs of 180º • Scale divided into 12 spaces on each side of 0 • If zero on vernier scalecoincides with line on main: reading in degrees

  25. Fourth 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 • Multiply number by 5' and add to degrees on protractor dial 50º 4 x 5'= 20' Reading = 50º 20'

  26. Inclinometer

  27. 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

  28. Sine Bar

  29. 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.

  30. Sine Bars

  31. Sine Plate

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