Question

A point on the rim of a wheel moves with a velocity of 95 feet per second. Find the angular velocity of the point if the diameter of the wheel is 5 feet.

Answer 1

To find:

The angular velocity of the point.

Solution:

Given the wheel moves with a velocity of 95 feet per second and the diameter is 5 feet.

So, the radius of the wheel is 5/2 feet.

The formula used to find the angular velocity of the wheel is given by:

$\omega=\frac{v}{r}$

So, by the given information is:

$\begin{gathered} \omega=\frac{95}{\frac{5}{2}} \\ \omega=38 \end{gathered}$

Thus, the angular velocity is 38 radians per second.