Unit Conversion 662C04

1. **State the problem:** Convert $5.34 \frac{\text{kg}}{\text{m}}$ into $\frac{\text{lb}}{\text{ft}}$ using the given unit conversions. 2. **Given conversions:** - $1 \text{ kg} = 2.21 \text{ lb}$ - $1 \text{ m} = 3.28 \text{ ft}$ 3. **Formula:** To convert $\frac{\text{kg}}{\text{m}}$ to $\frac{\text{lb}}{\text{ft}}$, multiply by the conversion factors: $$\frac{\text{lb}}{\text{ft}} = \frac{\text{kg}}{\text{m}} \times \frac{2.21 \text{ lb}}{1 \text{ kg}} \times \frac{1 \text{ m}}{3.28 \text{ ft}}$$ 4. **Apply the formula:** $$5.34 \frac{\text{kg}}{\text{m}} \times \frac{2.21 \text{ lb}}{1 \text{ kg}} \times \frac{1 \text{ m}}{3.28 \text{ ft}} = 5.34 \times \frac{2.21}{3.28} \frac{\text{lb}}{\text{ft}}$$ 5. **Calculate the fraction:** $$\frac{2.21}{3.28} = \frac{\cancel{2.21}}{\cancel{3.28}} \approx 0.67378$$ 6. **Multiply:** $$5.34 \times 0.67378 \approx 3.60$$ 7. **Final answer:** $$5.34 \frac{\text{kg}}{\text{m}} = 3.60 \frac{\text{lb}}{\text{ft}}$$ This matches the answer choice **3.60 lb/ft**.