High School

Convert the given atmospheric pressure in lbf/in\(^2\) to the requested units:

(a) Convert to lbf/ft\(^2\).
- How many square inches are equal to 1 square foot?

(b) Convert to Pa.
- How many pascals are equal to 1 lbf/in\(^2\)?

(c) Convert to kPa.

(d) Convert to bar (1 bar = 100 kPa).

Given conversions:
1) 144 in\(^2\) = 1 ft\(^2\)
2) 2044.8 lbf/ft\(^2\)
3) 6894.76 Pa
4) 97905.55 Pa
5) 97.90555 kPa
6) 1 bar = 100 kPa

Answer :

Final answer:

To convert atmospheric pressure from lbf/in² to different units, divide the given pressure by the appropriate conversion factor. To convert to lbf/ft², divide by 144. To convert to Pa, multiply by 6.895 × 10³. To convert to kPa, divide the pressure in Pa by 1000. To convert to bar, divide the pressure in kPa by 100.

Explanation:

To convert atmospheric pressure from lbf/in2 to the requested units:

(a) To convert to lbf/ft2, we need to know how many square inches are equal to 1 square foot. There are 12x12=144 square inches in 1 square foot. So, to convert, we divide the given pressure (in lbf/in2) by 144.

(b) To convert to pa (pascals), we need to know how many pascals are equal to 1 lbf/in2. We can use the given conversion factor provided, which is 1 lbf/in2 = 6.895 × 103 Pa. So, to convert, we multiply the given pressure (in lbf/in2) by 6.895 × 103.

(c) To convert to kPa (kilopascals), we divide the pressure in pa by 1000.

(d) To convert to bar, we divide the pressure in kPa by 100.