5 The manufacturer states that the accuracy of a particular

5. The manufacturer states that the accuracy of a particular EDM model is 3mm±3ppm. What total error can be expected in a measured distance of 1000 meters? What is the corrected distance? (hint: page 81 of the textbook)

Solution

Solution:-

Given

D = 1000 m = 1000000 mm

(E_c)Specified constant error for the EDM = 3 mm

ppm = 3

Error in measured distance (E_d ) = (E_c² + (ppm * D)² )

= (3² + (3 *10⁶/10⁶ )²)

Error in measured distance (E_d) = + - 4.24 mm    Answer

Correct distance = 10⁶ + 4.24 = 1000004.24 mm   Answer