Question

By computed least square method, what is the accuracy obtained for polygons up to 12 faces?

(a) ±1.0 second

(b) ±2.0 second

(c) ±3.0 second

(d) ±4.0 second

This question was posed to me in homework.

This interesting question is from Calibration of Polygons topic in division Angular Measurement and Circular Division of Engineering Metrology

Answer 1

Right answer is (a) ±1.0 second

Explanation: If each faces pair of the upper polygon is compared with all the faces of the lower polygon and the angles are computed by the least square method then the better accuracy will achieve. By this, the accuracy of ± 1.0 second may be obtained for up to 12 faces polygons.