Calculate the increase in length of a 250.00 meter long concrete bridge if it's temperature increases from 10.0°C to 39.0 °C? The coefficient of expansion of concrete is 9.8 X 10^-6 (1/°C)

3 answers

Increase in length
= Length (m) * ΔT (° C) * coefficient of expansion (°-1)
so
In this case,
Length = 250.00 m
ΔT = 39.0 °C - 10.0 °C = 29.0 °C
coefficient of expansion = 9.8 x 10^-6 (1/°C)

Therefore, the increase in length of the concrete bridge is:

= 250.00 m * 29.0 °C * 9.8 x 10^-6 (1/°C)

= 0.0721 m or 7.21 cm (rounded to two decimal places)

Hence, the bridge would increase in length by approximately 7.21 cm if its temperature increased from 10.0°C to 39.0°C.