The blade of a windshield wiper moves through an angle of 90.0° in 0.28 s. the tip of the blade moves on the arc of a circle that has a radius of 0.5 m. what is the magnitude of the centripetal acceleration of the tip of the blade?

Acceleration,

Explanation:

It is given that, angle rotated by blade is, (because )

Also, time taken , t =0.28 s.

It is also given that , the radius of arc in which it moves is, r = 0.5 m.

Time taken to move in a circle,

Now , we need to find centripetal acceleration. Its formula is given by :

Since,

v = 2.80 m/s

So,

So, the  magnitude of the centripetal acceleration of the tip of the blade is . Hence, this is the required solution.