What is the correction to the tape due to temperature?

The correction to the tape due to temperature is essential for ensuring accurate measurements in geodetic engineering. When measuring distances with a tape, the length of the tape can change based on the temperature at which it is used. Most tape measures are calibrated at a standard temperature, often around 20°C. If the tape is used at a different temperature, it will either expand or contract, leading to inaccuracies in the measured distance.

The correction calculation involves factors such as the coefficient of linear expansion for the material of the tape, the difference between the actual temperature and the calibration temperature, and the length of the tape being used. The formula typically used for this correction is:

Correction = (Length of tape) × (Coefficient of linear expansion) × (Change in temperature)

In this scenario, the answer provided is -0.1408 m, which indicates a contraction of the tape due to a decrease in temperature when compared to the calibration temperature. The negative sign signifies that the actual length of the tape is shorter than what is indicated by the measurements, necessitating a correction to arrive at the true distance.

Other options may suggest differing values that result from different temperature changes or mistakenly applying the coefficient of expansion, but the specific calculation leading to -0.140