Please show work Convert the following to the designated si

Please show work

Convert the following to the designated si units: (a) 627 in to mm and m (b) 14 yd2 to and m (c) 3.5 kips/ft to kN/m (d) 8470 psi to Mpa and kPa (e) 1740 psf to Pa and kPa (f 2.8 kips/ft to kPa (g) 247 pcf b kNm3

Solution

(a) we know that 1 inch = 2.54 cm = 25.4 mm. Therefore, 627 in² = 627(25.4)² mm² = 627* 645.16 mm² = 404515.32mm² . Also, 1 meter = 100 cm = 1000mm . Therefore 1m² = 1000*1000mm² = 1000000mm² . Therefore,

627 in² = 44515.32mm² = 404515.32/ 1000000 m² = 0.40451532m²

(b) We know that 1 yard = 3 feet = 36 inches = 36 * 25.4mm = 914.4 mm. Therefore, 14yd² = 14*( 914.4)² mm² =

14*836.12736 mm² = 11705.78304mm² = 11705.78304/1000000m² = 0.011705783m²

(c) We know that 1kN/m = 0.068522kips/ft Therefore, 3.5 kips/ft = 3.5/0.068522kN/m = 51.07848574kN/m

(d) We know that 1 psi = 6.89475728 kPa = 0.00689475728 MPa. Therefore 8470psi = 8470*6.89475728 kPa = 58398.59416 kPa and  8470psi = 8470*0.00689475728 MPa. = 58.39859416MPa

(e) We know that 1psf = 0.0478802588889 kPa and 1kPa = 1000Pa. Therefore, 1740psf = 1`740* 0.0478802588889 kPa = 83.31165045kPa = 83.31165045*1000Pa = 83311.65045 Pa

(f) We know that 1 kPa = 0.20885434273 Kip/ft² Therefore, 2.8 kip/ft2 = (1/0.20885434273 )*2.8 = 13.40647249 kPa

(g) We know that 1 pcf = 0.000125959609 KN/m³ . Therefore, 247pcf = 247*0.20885434273 = 0.031112023KN/m³