Question

Convert 75 scfm to fps

Air @ 85F, 50 psig

ID pipe: 13.84mm

Please show steps. Thank you

Answer 1

Answer:

$75 scfms = 772.08 ft/s$

Explanation:

Given:

Diameter of the pipe = 13.84mm

scfm is abbreviation for standard cubic feet per minute

and fps is abbreviation for feet per second

now

$1 scfms = \frac{1ft^3}{minute}=\frac{1ft^3}{60seconds}$

thus, for 75scfm we have

$75 scfms = \frac{75\times ft^3}{minute}=\frac{75ft^3}{60seconds}$  ...........(1)

now, the area (A)of the pipe

A = $\frac{\pi}{4}\times(13.84mm)^2$= 150.439 mm²

Now,

1mm = 0.00328084 ft

1mm² = (0.00328084 ft)² = 1.07639×10⁻⁵ft²

thus,

150.439 mm² =150.439 × 1.07639×10⁻⁵ft² = 1.619×10⁻³ ft² ............(2)

Dividing the  (1) with (2)

we get

$75 scfms \frac{75ft^3}{1.619\times 10^{-3}\times 60seconds}$

thus,

$75 scfms = 772.08 ft/s$ for the given pipe