Answer :
Radially inward is the direction of the gum when the fan reaches its top speed.
Centripetal acceleration is the type of acceleration that acts on the object with its direction towards the midpoint of the circular motion that the object is revolving in like in the case of the fan with the gum.
It should be kept in mind that centripetal acceleration acts on the body when it is in a constant circular motion albeit the direction changes periodically with the object always acting radially inward.
The centripetal acceleration is given by the formula
= v² / r
Here v = velocity of moving object
r = distance from midpoint/centre of the circular path
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