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.

Question

asked Aug 15, 2023 33.5k views

1 Answer

Marcogomesr · Answer 1 · 2023-08-20T01:42:05+0000

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:

$\omega=(v)/(r)$

So, by the given information is:

$\begin{gathered} \omega=(95)/((5)/(2)) \\ \omega=38 \end{gathered}$

Thus, the angular velocity is 38 radians per second.