A line was determined to be 2395.25m. when measured with a 30m. steel tape supported throughout its length under a pull of 4kg. at a mean temperature of 35°C. Tape used is of standard length at 20°C under a pull of 5kg. Cross-sectional area of tape is 0.03 sq.cm. Coefficient of thermal expansion is 0.0000116 per degree Celsius. Modulus of elasticity of tape is $2×10^6 \frac{kg.}{cm.^2}$.
- Determine the error of the tape due to change in temperature.
- Determine the error due to tension.
- Determine the corrected length of the line.