Problem 2 Perform the unit conversions for the following que

Problem 2

Perform the unit conversions for the following questions

a) 554 m⁴ / (day x kg) = ?? cm⁴/(min x g)

b) 38.1 ft/s = ?? km/h

c) 921 kg/m³ = ?? lb/ft³

d) 42 ft² / hr = ?? cm²/sec

>> Solution (a).

As, 1 m = 100 cm

1 day = 24*60 min

and, 1 kg = 1000 g

So, 554 m⁴/(day*kg) = 554*10⁸/(24*60*1000) cm⁴/(min*g)

=> 554 m⁴/(day*kg) = 38472.22 cm⁴/(min*g) .........ANSWER..........

>> Solution (b)

1 ft = 12*0.0254 m = 0.3048*10^-3 km

and 1 sec = (1/3600) hr = 0.278*10^-3 hr

=> 38.1 ft/s = 41.773 km/hr .............ANSWER...........

>> Solution (c)

As, 1 kg = 2.205 lb

and, 1 m = 3.281 ft

=> 921 kg/m³ = 921*2.205/(3.281³) = 57.498 lb/ft³ .............ANSWER..........

>> Solution (d)

>> 1 ft = 12*2.54 = 30.48 cm

1 hr = 3600 sec

>> 42 ft²/hr = 42*30.48²/3600 = 10.839 cm²/sec ............ANSWER......