Question

b. convert the pressure of 2.5 x 10⁵ n/m² to lbf/ft². (5 points)

Explanation:

Step1: Recall conversion factors

We know that \( 1\space N = 0.224809\space lbf \) and \( 1\space m = 3.28084\space ft \), so \( 1\space m^2=(3.28084\space ft)^2 = 10.7639\space ft^2 \).

Step2: Set up conversion

To convert \( \frac{N}{m^2} \) to \( \frac{lbf}{ft^2} \), we use the conversion factors:

$$ 2.5\times 10^{5}\frac{N}{m^2}\times\frac{0.224809\space lbf}{1\space N}\times\frac{1\space m^2}{10.7639\space ft^2} $$

Step3: Calculate

First, multiply \( 2.5\times 10^{5} \) by \( 0.224809 \):
\( 2.5\times 10^{5}\times0.224809 = 56202.25 \)
Then divide by \( 10.7639 \):
\( \frac{56202.25}{10.7639}\approx 5221.3 \)

Answer:

\( \approx 5.22\times 10^{3}\space lbf/ft^2 \) (or approximately \( 5220\space lbf/ft^2 \) depending on rounding)