# A gear of radius 4 inches turns at 8 rpm. What is the linear velocity of a tooth of the gear in feet per minute to the nearest tenth?

$16.755 \setminus \setminus \textrm{f e e \frac{t}{\min}}$

#### Explanation:

The linear velocity of a gear of radius $R = 4$inches $= \frac{4}{12} = \frac{1}{3}$ feet & rotating at $N = 8$rpm is given as follows

$v = 2 \setminus \pi N R$

$= 2 \setminus \pi \setminus \cdot 8 \setminus \cdot \frac{1}{3}$

$= \frac{16}{3} \setminus \pi$

$= 16.755 \setminus \setminus \textrm{f e e \frac{t}{\min}}$