Question

A typical ceiling fan running at high speed has an airflow of about 1.85 ✕ 103 ft3/min, meaning that about 1.85 ✕ 103 cubic feet of air move over the fan blades each minute. Determine the fan's airflow in m3/s.

Answer 1

0.8726
`m^3/s`

Step-by-step explanation:

We are to convert 1.85 x
`10^3`
`ft^3/min` to
`m^3/s`

First, let us convert the numerator from ft3 to m3

1 ft3 = 0.0283 m3

Hence,

1.85 x
`10^3` ft3 = 1.85 x
`10^3` x 0.0283 m3

= 52.355 m3

Now, let us convert the denominator from minutes to seconds

1 min = 60 sec

Therefore;

1.85 x
`10^3`
`ft^3/min` = 52.355/60
`m^3/s`

= 0.8726
`m^3/s`