What is the RPM required for a fan to increase airflow from 800 CFM to 1,000 CFM if the original speed is 300 RPM?

To determine the required RPM to increase airflow from 800 CFM to 1,000 CFM, it’s important to understand the relationship between fan speed (RPM) and airflow. The airflow produced by a fan is generally proportional to the speed of the fan, given that other conditions remain constant.

In this context, we can use the formula that relates airflow to RPM:

[

\frac{CFM_1}{CFM_2} = \frac{RPM_1}{RPM_2}

]

Where:

• CFM_1 is the initial airflow (800 CFM),

• CFM_2 is the desired airflow (1,000 CFM),

• RPM_1 is the initial RPM (300 RPM),

• RPM_2 is the new RPM we need to find.

Plugging in the values, we have:

[

\frac{800}{1000} = \frac{300}{RPM_2}

]

To solve for RPM_2, you can cross-multiply:

[

800 \cdot RPM_2 = 300 \cdot 1000

]

[

RPM_2 = \frac{300 \cdot 1000}{800}

]

Calculating the