Question

The pressure in a water line is 1500 kPa. What is the line pressure in (a) lb/ft2units and (b) lbf/in2(psi) units?

Answer 1

Answer:

Part A:

$1500\ KPa= 31328.145 \frac{lb}{ft^2}$

Part B:

$1500 KPa=217.55656 \frac{lb}{in^2}$(Psi)

Explanation:

Part A:

Line Pressure is 1500 KPa

We need a conversion factor which converts KPa to lb/ft^2.

$20.88543 \frac{lb}{ft^2}= 1\ KPa$

In order to convert 1500 KPa to lb/ft^2, we proceed as:

$1\ KPa=20.88543 \frac{lb}{ft^2} \\1500\ KPa= 1500 KPa*20.88543 \frac{lb}{ft^2.KPa}\\1500\ KPa= 31328.145 \frac{lb}{ft^2}$

1500 KPa is 31328.145 lb/ft^2

Part B:

We will use the same procedure we did in Part A:

1 ft= 12 in

$(1\ ft)^2=(12\ in)^2\\1 ft^2=144 in^2$

Converting $1500 KPa\ into\ \frac{lb}{in^2}$

$1500\ KPa= 1500 KPa*20.88543 \frac{lb}{ft^2.KPa} * \frac{ft^2}{144\ in^2}$

$1500 KPa=217.55656 \frac{lb}{in^2}$(Psi)

1500 KPa is 217.55656 lb/in^2 (psi)