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4. A 50-m tape of standard length has a weight of .05kg/m, with a cross-sectional area...

4. A 50-m tape of standard length has a weight of .05kg/m, with a cross-sectional area of 0.04 sq.cm. It has a modulus of elasticity of 2.10x106 kg/sq.cm. The tape is of standard length under a pull of 5.5 kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m. long. At the time of measurement the pull applied was 8 kg. with the tape supported only at its end points and the temperature observed was 18°C. Assuming coefficient of linear expansion of the tape is 0.0000116m/°C. Compute for the true length (with the combined effects of tension, sag and temperature) of the measured line AB.

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