The next few questions refer to the Golden Great Bridge, built on planet Tehar i

Question

The next few questions refer to the Golden Great Bridge, built on planet Tehar in a galaxy far, far away. The bridge-building technology on Tehar is not very well developed: The bridge is just a long slab of pure gold with the opposite ends resting on the shores of the river. In the spring, when the air temperature is 100 Celsius, the length of the bridge is 160.0m . Answer the questions below knowing that the value theta of for gold is 1.42 x 10 ^-5 degrees Celsius ^-1. Compared to its length in the spring, by what amount delta L winter does the length of the bridge decrease during the Teharian winter when the temperature hovers around -150 Celsius? and Compared to its length in the spring, by what amount delta L summer does the length of the bridge increase during the Teharian summer when the temperature hovers around 700 Celsius? An equation given is L-L1=theta*L1(T-T1)

Explanation / Answer

The given equation of L-L1 = L1(T - T1) can be written as L = L1T

For the winter the temp difference is 250 degrees (100 above zero to 150 below zero)

L = (160)(1.42 X 10-5)(250)

L = .568 m

For the summer the temp difference is 600 degrees

L = (160)(1.42 X 10-5)(600)

L = 1.36 m

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