Unit conversions a Convert 10000 dynes to units of lbmfts2 a

Unit conversions.

(a) Convert 10,000 dynes to units of lb_m*ft/s² and lb_f

(b) Convert 0.2 atm to units of Kpa andlb_f/in²

(c) Convert 37*C (physiological temperature) to units of *F andK.

(d) Convert 50in² * lb_m/s² tounits of joules and cal.

Solution

a) 10000 dynes *(1e-5 N/1dyne) *(1 kg*m/s2 / N ) *(1 lbm /0.454 kg)*(100 cm/1m)*(1 in/2.54 cm) *(1 ft/12in) = 7.22651959 = 7.2265 lbm*ft/s2 7.2265 lbm*ft/s2 * (1lb / 32.2lbm*ft/s2) = 0.22443 lbs b) 0.2 atm *(101325 Pa/1atm) *(1 kPa/ 1000 Pa) = 20.265 kPa ~ 2 x 10kPa 0.2 atm*(14.7 psi/atm) = 2.94 psi ~ 3 psi c) F = (9/5)*C + 32 = (9/5)*37 + 32 = 98.6 Fahrenheit K = C + 273 = 37 + 273 = 310 K d) 50 in2*lbm/s2 * (2.54 cm/1in)2 *(1m/100cm)2 *(0.454 kg /1lbm) *(1J/[kg*m2/s2]) = 0.014645132 J = 0.015 J 0.014645132 J *( 1 cal/4.18 J) = 0.0035036201 = 3.5 x10-3 cal