An airplane flying at 115 m/s due east makes a gradual turn following a circular path to fly south. The turn takes 15 seconds to complete. What is the magnitude of the centripetal acceleration during the turn?

a. 12 m/s2
b. 9.8 m/s2
c. 0 m/s2
d. 6.9 m/s
e. 8.1 m/s2

The magnitude of the centripetal acceleration during the turn is

Explanation:

Given :

Speed to the airplane in circular path , v = 115 m/s.

Time taken by plane to turn , t= 15 s.

Also , the plane turns from east to south i.e. quarter of a circle .

Therefore, time taken to complete whole circle is ,

Now , Velocity ,

Also , we know :

Centripetal acceleration ,

Putting all values we get :

Hence , this is the required solution .

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