Convert \( 2.75 \mathrm{kN} / \mathrm{m} \) to \( \mathrm{lb} / \mathrm{ft} \)

To convert \(2.75 \, \text{kN/m}\) to \(\text{lb/ft}\), we need to perform a unit conversion. Given: \(2.75 \, \text{kN/m}\) To convert to \(\text{lb/ft}\), we need to convert kilonewtons to pounds and meters to feet. 1 kilonewton (kN) = 224.808943 pounds (lb) 1 meter (m) = 3.280839 feet (ft) Therefore, the conversion factor is: \(1 \, \text{kN/m} = \frac{224.808943 \, \text{lb}}{3.280839 \, \text{ft}}\) Now, we can convert \(2.75 \, \text{kN/m}\) to \(\text{lb/ft}\) using the conversion factor: \(2.75 \, \text{kN/m} = 2.75 \times \frac{224.808943 \, \text{lb}}{3.280839 \, \text{ft}}\) Let's calculate this. Calculate the value by following steps: - step0: Calculate: \(\frac{2.75\times 224.808943}{3.280839}\) - step1: Multiply the numbers: \(\frac{618.22459325}{3.280839}\) - step2: Convert the expressions: \(\frac{\frac{2472898373}{4000000}}{\frac{3280839}{1000000}}\) - step3: Multiply by the reciprocal: \(\frac{2472898373}{4000000}\times \frac{1000000}{3280839}\) - step4: Reduce the numbers: \(\frac{2472898373}{4}\times \frac{1}{3280839}\) - step5: Multiply the fractions: \(\frac{2472898373}{4\times 3280839}\) - step6: Multiply: \(\frac{2472898373}{13123356}\) The conversion of \(2.75 \, \text{kN/m}\) to \(\text{lb/ft}\) is approximately \(188.434907 \, \text{lb/ft}\).