Question

The pressure in a water line is 1500 kPa. What is the line pressure in \((a) \mathrm{lb} / \mathrm{ft}^{2}\) units and \((b) \mathrm{lbf} / \mathrm{in}^{2}(\mathrm{psi})\) units?

Short answer

Answer: (a) The pressure in lb/ft² is 31,328.15135 lb/ft². (b) The pressure in psi is 217.55660669 psi.

Step-by-step solution

Write down the given pressure

The pressure in the water line is given as 1500 kPa.

Find the conversion factors

The conversion factors between the different units are as follows: - 1 kPa = 0.14503773779 psi - 1 kPa = 20.885434233 lb/ft²

Convert the pressure to lb/ft²

Now, multiply the given pressure in kPa by the conversion factor for lb/ft²: \(P_{\mathrm{lb/ft²}} = P_{\mathrm{kPa}} \times CF_{\mathrm{lb/ft²}}\) where \(P_{\mathrm{lb/ft²}}\) is the pressure in lb/ft², \(P_{\mathrm{kPa}}\) is the given pressure in kPa and \(CF_{\mathrm{lb/ft²}}\) is the conversion factor. \(P_{\mathrm{lb/ft²}} = 1500 \times 20.885434233 = 31328.15135\, \mathrm{lb/ft²}\)

Convert the pressure to psi

Now, multiply the given pressure in kPa by the conversion factor for psi: \(P_{\mathrm{psi}} = P_{\mathrm{kPa}} \times CF_{\mathrm{psi}}\) where \(P_{\mathrm{psi}}\) is the pressure in psi and \(CF_{\mathrm{psi}}\) is the conversion factor. \(P_{\mathrm{psi}} = 1500 \times 0.14503773779 = 217.55660669\, \mathrm{psi}\)

Write the final answers

The line pressure in the given units is: (a) 31,328.15135 lb/ft² (b) 217.55660669 psi