Questions: A certain part of an aircraft engine has a volume of 1 ft^3. If the part is made of aluminum, calculate the weight of the part (in lbs). Use eBook Table 4.4.

Solution Steps

To calculate the weight of the part, we first need to know the density of aluminum. According to standard reference tables, the density of aluminum is approximately \(0.0975 \, \text{lb/in}^3\).

The volume of the part is given as \(1 \, \text{ft}^3\). We need to convert this volume into cubic inches because the density is given in \(\text{lb/in}^3\).

\[ 1 \, \text{ft}^3 = 12 \, \text{in} \times 12 \, \text{in} \times 12 \, \text{in} = 1728 \, \text{in}^3 \]

Now, we can calculate the weight of the part using the formula:

\[ \text{Weight} = \text{Volume} \times \text{Density} \]

Substituting the known values:

\[ \text{Weight} = 1728 \, \text{in}^3 \times 0.0975 \, \text{lb/in}^3 = 168.48 \, \text{lb} \]

Final Answer