What is the correction to the tape due to pull?

To understand the correction to the tape due to pull, it is important to recognize how tension in the tape affects its length during measurements. When a tape is pulled with a force that exceeds the tape's standard measurement conditions, the material elongates. This elongation results in an actual measuring length that is greater than the nominal length of the tape.

The correction value indicates how much shorter the tape should be when it is subjected to this pull in order to ensure an accurate measurement. The given answer, which indicates a correction of -0.0366 m, suggests that the tape has been stretched beyond its nominal length by this amount under the specific tension used during measurement. Therefore, to arrive at the true distance, this value must be subtracted from the measured distance.

Understanding the behavior of materials under stretch, and the formulas used to calculate the correction based on the diameter of the tape, the material's Young's modulus, and the amount of applied pull, helps clarify why this particular correction value is appropriate. It takes into account the conditions and parameters of the situation to ensure precise geodetic measurements, where even small variations can lead to significant discrepancies in surveying and mapping.