Question

Convert 75 scfm to fps

Air @ 85F, 50 psig

ID pipe: 13.84mm

Please show steps. Thank you

Answer 1

`75 scfms = 772.08 ft/s`

Step-by-step 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 = (1ft^3)/(minute)=(1ft^3)/(60seconds)`

thus, for 75scfm we have

`75 scfms = (75* ft^3)/(minute)=(75ft^3)/(60seconds)` ...........(1)

now, the area (A)of the pipe

A =
`(\pi)/(4)*(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 (75ft^3)/(1.619* 10^(-3)* 60seconds)`

thus,

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