Answer
pressure = 2.2 * $10^{3}$ g / $cm^{2}$
pressure = 2.2 * $10^{4}$ kg / $m^{2}$
Work Step by Step
pressure = 32 lb per 1 $in^{2}$
1 in = 2.54 cm
1 $in^{2}$ = 2.54 cm * 2.54 cm = 6.4516 $cm^{2}$
so pressure = 32 lb per 6.4516 $cm^{2}$
2.205 lb = 1 kg
2.205 lb = 1000 g
1 lb = 1000 / 2.205 g = 453.5147392 g
32 lb = 32 * 453.5147392 g = 14512.47165 g
so pressure = 14512.47165 g per 6.4516 $cm^{2}$
pressure = 2249.437605 g per 1 $cm^{2}$
pressure = 2249.437605 g / $cm^{2}$
rounding to 2 significant figures gives 2.2 * $10^{3
}$ g / $cm^{2}$
pressure = 2249.437605 g per 1 $cm^{2}$
2249.437605 g = 2249.437605 / 1000 kg = 2.249437605 kg
1 $cm^{2}$ = $10^{-4}$ $m^{2}$
so pressure = 2.249437605 kg per $10^{-4}$ $m^{2}$
pressure = 2.249437605 * $10^{4}$ kg per 1 $m^{2}$
pressure = 2.249437605 * $10^{4}$ kg / $m^{2}$
Rounding to 2 significant figures gives pressure = 2.2 * $10^{4}$ kg / $m^{2}$
