Final answer:
To convert 31.0 psi to other units, multiply by the conversion factor to get 213,900 N/m², which is then converted to 21,804 kg/m², or 2,180.4 g/cm² after adjusting for gravitational acceleration and unit surface area.
Step-by-step explanation:
To convert 31.0 psi to grams per square centimeter and kilograms per square meter, we need to use the appropriate conversion factors. Since 1.0 psi is equal to 6.90 × 10³ N/m², we first convert psi to N/m² and then to the requested units.
Here's how:
- Convert psi to N/m² (pascals):
31.0 psi × 6.90 × 10³ N/m²/psi = 213,900 N/m² - Convert N/m² to kg/m² (since 1 N = 1 kg·m/s²):
213,900 N/m² / (9.81 m/s²) = 21,804 kg/m² - Since 1 kg = 1,000 g, and 1 m² = 10,000 cm², divide by 10 to convert kg/m² to g/cm²:
21,804 kg/m² / 10 = 2,180.4 g/cm²
Therefore, 31.0 psi is equivalent to 2,180.4 g/cm² and 21,804 kg/m².