A pressure is reported as 1 kgf/m^2 in gravimetric units. Convert this to the S.I. unit N/m^2 (pascal) using the standard gravity factor 1 kgf = 9.80665 N.

Introduction:Engineering literature sometimes quotes pressures in kilogram-force per square metre (kgf/m^2). To maintain S.I. consistency, convert kilogram-force to newtons using standard gravity. This ensures correct inputs for structural, fluid, and machine calculations where pascals (N/m^2) are required.

Given Data / Assumptions:

• Given pressure: 1 kgf/m^2.
• Conversion: 1 kgf = 9.80665 N (≈ 9.81 N).
• Area remains m^2, so only the numerator (force) converts.

Concept / Approach:

Pressure P = Force / Area. Replace kgf with newtons via 9.80665. Since the area unit already matches S.I. (m^2), the conversion is direct.

Step-by-Step Solution:

Verification / Alternative check:

As a reasonableness check, note that 1 kgf/cm^2 would be much larger (~98,066.5 N/m^2). Since our area is m^2, the value should be roughly 10 N/m^2, which matches the computed result.

Why Other Options Are Wrong:

• 47.88 N/m2 and 4.882 N/m2: These correspond to incorrect or partial application of the conversion factor.
• 0.07013 N/m2: Far too small; likely confuses cm^2 or mm^2 conversions.
• 98.07 N/m2: Would be 10 times larger; not applicable for 1 kgf/m^2.

Common Pitfalls:

• Applying the gravity factor to the area term erroneously.
• Confusing kgf/m^2 with kgf/cm^2, which differs by 10^4.

Final Answer:

9.81 N/m2