How much will a 300 ft long aluminum pipe grow in length when the temperature rises from 48 degrees to 18 degrees?

To determine how much a 300 ft long aluminum pipe will expand when the temperature rises, it is essential to apply the linear expansion formula:

[ \Delta L = L_0 \times \alpha \times \Delta T ]

Where:

• ( \Delta L ) is the change in length,

• ( L_0 ) is the original length of the pipe (300 ft in this case),

• ( \alpha ) is the coefficient of linear expansion for aluminum (approximately ( 0.000012 , \text{°F}^{-1} )),

• ( \Delta T ) is the change in temperature.

First, calculate the change in temperature:

[ \Delta T = 18°F - 48°F = -30°F ]

Since the calculation indicates cooling rather than heating, the temperature change becomes:

[ \Delta T = 30°F ]

Now applying the values to the formula:

[ \Delta L = 300 , \text{ft} \times 0.000012 , \text{°F}^{-1} \times 30°F ]

[ \Delta L = 300 \times 0.000012 \times 30 ]

Calculating