What is the rpm of a 6" pulley connected to a 16" pulley that is turning at 150 rpm?

To determine the rpm of the smaller pulley when it is connected to the larger pulley, you can utilize the concept of belt drive ratios. The speed of the two pulleys is inversely proportional to their diameters.

The formula that connects the rpm of both pulleys based on their diameters is:

[

\text{RPM}_1 \times \text{Diameter}_1 = \text{RPM}_2 \times \text{Diameter}_2

]

In this scenario, the large pulley has a diameter of 16 inches and is turning at 150 rpm, while the smaller pulley has a diameter of 6 inches. Plugging the known values into the formula gives:

[

150 \text{ rpm} \times 16 \text{ inches} = \text{RPM}_2 \times 6 \text{ inches}

]

Rearranging the equation to solve for RPM of the smaller pulley yields:

[

\text{RPM}_2 = \frac{150 \times 16}{6}

]

Calculating this gives:

[

\text{RPM}_2 = \frac{2400}{6} = 400 \text{ rpm}

]

Thus, the rpm of the