The tip of a pinwheel is 0.24 m from the center. the pinwheel spins 5 times each second. what is the tangential speed of the tip of the pinwheel?

7.539 m/s

Explanation:

The tangential velocity is defined as the angular velocity by the radius of the circular motion:

 (1)

Its name is due to the fact that this linear velocity vector is always tangent to the trajectory and is the distance traveled by a body or object in a circular movement in a period of time.

In this sense,  is the angular velocity, which is inversely proportional to the period of the circular motion. So equation (1) is expressed as:

 (2)

We already know , and we can find , knowing the frequency :

Isolating :

(3)

Substituting (3) in (2):

 (4)

This is the tangential speed of the tip of the pinwheel