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

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle