Question

Find the temperature range of 25m aluminum cable that expands and contracts by 7mm each day.

Answer 1

Answer:

Change in length is related to original length, the type of material and the amount of temperature change.

The formula for linear expansion is

ΔL=αLoΔT

ΔL-is the change in length of the object, in meters

α-is the coefficient for linear expansion of the material in question, in the original length of the object, in meters

ΔTis the change in temperature, in Kelvin (or degrees Celsius)

The coefficient for linear expansion for the material can be referenced from a chart in your textbook or on the Internet.

For example: The longest steel arch bridge in the US is 517 m long. If this bridge undergoes a temperature change from −25.0 oC in the winte to 45.0oC in the summer, how much will it expand?

(Let us use only the coefficient of linear expansion for steel, to simplify this question.)

ΔL=αLoΔTΔL=(24x10−6)(517)(70)ΔL=0.86586m

Explanation:

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