Convert each of the following and express the answer using a

Convert each of the following and express the answer using an appropriate prefix: 175 Ib/ft^3 to kN/m^3 6 ft/h to mm/s, and 835 lb ft to kN m.

Solution

a) The conversion factor would be:

(pounds to kilonewtons) / (cubic feet to cubic meters)

1 pound-force = 0.004 448 221 6 kilonewton
1 cubic foot = 0.028 316 846 711 688 3 cubic meter
0.0044482216 / 0.0283168467116883 = 0.1571
175 lb/ft³ * 0.1571 = 27.4925 kN/m³

^{b) 1 ft/h = 0.084667mm/s}

6ft/h=6x0.084667= 0.508002 mm/s

c)1 pound-force foot = 0.00135582 kilonewton meter

835 lb.ft=835x0.00135582=1.1321097 kN.m